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Search Results (683)

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Keywords = fuzzy-PID controller

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19 pages, 3478 KB  
Article
Real-Time Experimental Benchmarking of Control Strategies for a Coupled 2-DOF Helicopter
by Johny Iza, Emilio Paredes, Marco Herrera, Diego Benítez, Noel Pérez-Pérez and Oscar Camacho
Eng 2026, 7(4), 170; https://doi.org/10.3390/eng7040170 - 7 Apr 2026
Abstract
This paper presents a real-time experimental comparison of four control strategies—PID, Fractional-Order PID (FOPID), Fuzzy PID/PD, and Model-Free Control (MFC)—applied to trajectory tracking of a coupled 2-DOF Quanser Aero 2 helicopter. A linear MIMO model is identified to support controller design, and all [...] Read more.
This paper presents a real-time experimental comparison of four control strategies—PID, Fractional-Order PID (FOPID), Fuzzy PID/PD, and Model-Free Control (MFC)—applied to trajectory tracking of a coupled 2-DOF Quanser Aero 2 helicopter. A linear MIMO model is identified to support controller design, and all approaches are evaluated under three operating conditions: coupled dynamics, static decoupling, and dynamic decoupling. Experimental performance is assessed using Integral Square Error, control effort, overshoot, and settling time metrics implemented on the QUARC real-time platform. The results show that interaction mitigation affects control performance. Static decoupling improves tracking accuracy, while dynamic decoupling reduces cross-coupling effects at the expense of increased noise sensitivity. Among the evaluated controllers, the Fuzzy PID/PD strategy achieves the best overall balance between tracking performance and control effort, whereas Model-Free Control provides smoother actuator behavior. The study offers practical experimental guidelines for selecting control strategies in coupled UAV systems. Full article
(This article belongs to the Special Issue Interdisciplinary Insights in Engineering Research 2026)
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22 pages, 1999 KB  
Article
Hybrid PSO-Tuned Fractional-Order Control with Rule-Based Adaptive Supervision for Embedded Thermoelectric Temperature Regulation
by Miguel F. Ferrer Pareja, Carlos Sánchez Morales, Federico León Zerpa and Alejandro Ramos Martín
Fractal Fract. 2026, 10(4), 238; https://doi.org/10.3390/fractalfract10040238 - 3 Apr 2026
Viewed by 160
Abstract
Thermal regulation using Peltier cells presents challenges due to high inertia, memory effects, and energy constraints in embedded systems. This paper introduces the FOPID with Adaptive Supervisor (FOPID-AS) scheme, combining a PSO-optimized fractional-order controller (FOPID) with a deterministic rule-based gain-scheduling supervisor. Experimental validation [...] Read more.
Thermal regulation using Peltier cells presents challenges due to high inertia, memory effects, and energy constraints in embedded systems. This paper introduces the FOPID with Adaptive Supervisor (FOPID-AS) scheme, combining a PSO-optimized fractional-order controller (FOPID) with a deterministic rule-based gain-scheduling supervisor. Experimental validation compares four strategies: PID, Fuzzy-PID, static FOPID, and the proposed FOPID-AS. During the transient phase (t<105 s), FOPID-AS reaches the ±0.5 °C tolerance band in 31.20 s, with an ITAE of 6612.97 and transient energy consumption of 0.18 Wh, outperforming PID, Fuzzy-PID, and FOPID in speed and tracking quality. In steady state (t105s), FOPID-AS exhibits steady-state error ess = 0.08 °C, σss = 0.10 °C, and peak-to-peak ripple of 0.67 °C, with steady-state energy consumption of 0.30 Wh, showing lower dispersion than PID and comparable values to the other fractional controllers, while maintaining low computational load suitable for real-time applications. Full article
(This article belongs to the Special Issue Artificial Intelligence and Fractional Modelling for Energy Systems)
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19 pages, 1119 KB  
Proceeding Paper
Quantum-Fuzzy Adaptive Control Architecture for Nonlinear Dynamic Systems in Industrial Automation
by Noilakhon Yakubova, Isomiddin Siddiqov, Komil Usmanov, Zafar Turakulov and Yoldoshkhon Akramkhodjayev
Eng. Proc. 2026, 124(1), 102; https://doi.org/10.3390/engproc2026124102 - 1 Apr 2026
Abstract
Maintaining optimal control of heating boiler systems using intelligent control strategies remains a significant challenge due to strong nonlinearities, time delays, and unpredictable variations in fuel quality and thermal load. Conventional fuzzy logic controllers, while effective under nominal conditions, often exhibit limited robustness [...] Read more.
Maintaining optimal control of heating boiler systems using intelligent control strategies remains a significant challenge due to strong nonlinearities, time delays, and unpredictable variations in fuel quality and thermal load. Conventional fuzzy logic controllers, while effective under nominal conditions, often exhibit limited robustness when exposed to abrupt parameter changes. To address this limitation, this study proposes a novel Quantum-Fuzzy Adaptive Intelligent Proportional-Integral-Derivative (QFAI-PID) control architecture, in which probabilistic inference mechanisms inspired by quantum principles are implemented algorithmically within a classical computing framework and validated through MATLAB/Simulink simulations. The proposed approach enhances the adaptability of fuzzy rule-based control by enabling probabilistic superposition and dynamic activation of control rules, allowing the knowledge base to self-organize in real time. The control system is evaluated using a nonlinear heating boiler model developed in MATLAB/Simulink under realistic industrial disturbances, including ±25% fuel flow variations, up to 30% changes in thermal demand, and measurement delays of 5–8 s. Simulation results demonstrate that the proposed controller achieves up to 36% improvement in control stability, 30% faster response time, and 22% reduction in energy-related control effort compared with conventional fuzzy control systems. These results confirm that the proposed quantum-inspired fuzzy approach provides a robust, energy-efficient, and practically implementable solution for intelligent control of nonlinear thermal energy systems. Full article
(This article belongs to the Proceedings of The 6th International Electronic Conference on Applied Sciences)
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29 pages, 6824 KB  
Article
Distributed Co-Simulation of Reinforcement Learning Optimized Fuzzy PID Control of a 10-MW Wind Turbine Yaw System
by Yiyan Huang, Linli Li, Yaping Zou, Kai Luan, Zesen Gao and Qifei Jian
Energies 2026, 19(7), 1726; https://doi.org/10.3390/en19071726 - 1 Apr 2026
Viewed by 301
Abstract
To address the limited adaptability and tuning efficiency of conventional yaw controllers under turbulent wind conditions, this paper investigates a reinforcement learning (RL)–optimized fuzzy PID control scheme for offshore wind turbine yaw systems. A distributed real-time co-simulation framework is established, in which a [...] Read more.
To address the limited adaptability and tuning efficiency of conventional yaw controllers under turbulent wind conditions, this paper investigates a reinforcement learning (RL)–optimized fuzzy PID control scheme for offshore wind turbine yaw systems. A distributed real-time co-simulation framework is established, in which a high-fidelity OpenFAST wind turbine model is coupled with a Simulink-based controller via networked data exchange to reflect realistic sampling and communication constraints. The proposed controller is examined under IEC 61400-1–compliant normal and extreme turbulence wind scenarios and is compared with conventional PID, fuzzy PID, particle swarm optimization (PSO)–based fuzzy PID, gray wolf optimizer (GWO)–based fuzzy PID, and model predictive control (MPC) schemes. Simulation results indicate that the proposed method reduces yaw rate root mean square (RMS) by up to 40% and total yaw energy consumption by up to 41%, while maintaining yaw alignment accuracy under both operating conditions. Full article
(This article belongs to the Section A3: Wind, Wave and Tidal Energy)
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18 pages, 3868 KB  
Article
Anti-Wind Disturbance Algorithms for Small Rotorcraft UAVs
by Yini Cheng, Feifei Tang, Lili Pei, Huayu Zhang, Xiaoyu Cai, Feng Xu and Xiaoning Hou
Symmetry 2026, 18(4), 594; https://doi.org/10.3390/sym18040594 - 31 Mar 2026
Viewed by 197
Abstract
Small rotorcraft unmanned aerial vehicles (UAVs) are highly susceptible to wind disturbances when performing tasks such as fixed-point hovering, low-altitude inspection, and aggressive maneuvers. Under complex, variable meteorological conditions, attitude stability and position-holding accuracy are particularly critical. Although quadrotor UAVs exhibit structural and [...] Read more.
Small rotorcraft unmanned aerial vehicles (UAVs) are highly susceptible to wind disturbances when performing tasks such as fixed-point hovering, low-altitude inspection, and aggressive maneuvers. Under complex, variable meteorological conditions, attitude stability and position-holding accuracy are particularly critical. Although quadrotor UAVs exhibit structural and dynamic symmetry, real wind disturbances are often asymmetric, disrupting the original balance and leading to intensified attitude oscillations, position drift, and degraded data quality. To effectively address the challenges of wind-induced oscillation and positional deviation, this paper proposes a fuzzy logic-based linear active disturbance rejection control (Fuzzy-LADRC) strategy. This approach employs a hybrid algorithm combining particle swarm optimization and gray wolf optimization to optimize controller parameters and incorporates fuzzy logic to enhance the adaptive capability of the linear active disturbance rejection controller (LADRC). Simulation experiments conducted in MATLAB/Simulink under complex wind-field conditions demonstrate that the proposed method significantly outperforms traditional PID controllers: in the regulation of roll and pitch angles, control performance improves by approximately 5%, while in yaw angle control, the improvement reaches up to 30%. Furthermore, this method can significantly suppress position deviation and fluctuation in the X and Y directions, and reduce the overshoot in the Z-axis during the UAV’s takeoff phase by 75%. Full article
(This article belongs to the Special Issue Symmetry/Asymmetry in Intelligent Transportation)
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25 pages, 2080 KB  
Article
Design and Simulation Analysis of Attitude Control Algorithms for OPS-SAT-1
by Juan Carlos Crespo, María Royo, Álvaro Bello, Karl Olfe, Victoria Lapuerta and José Miguel Ezquerro
Aerospace 2026, 13(4), 320; https://doi.org/10.3390/aerospace13040320 - 29 Mar 2026
Viewed by 304
Abstract
This work presents the design of an attitude control experiment for onboard OPS-SAT-1 satellite execution, conceived with inherent extensibility to future mission architectures. OPS-SATs are ESA nanosatellite mission series designed as an in-orbit testbed for validating novel software and control techniques under real [...] Read more.
This work presents the design of an attitude control experiment for onboard OPS-SAT-1 satellite execution, conceived with inherent extensibility to future mission architectures. OPS-SATs are ESA nanosatellite mission series designed as an in-orbit testbed for validating novel software and control techniques under real space conditions, OPS-SAT-1 being the first mission. Equipped with an advanced payload computer, OPS-SAT-1 enabled experimentation with innovative mission operations, including real-time attitude control strategies. Two attitude control algorithms, a modified Proportional–Integral–Derivative (mPID) and a fuzzy logic controller, were designed and implemented for the OPS-SAT-1. The design methodology applied to these controllers consisted of (i) modelling the space environment and satellite characteristics, (ii) assessing actuator feasibility, (iii) determining the operational ranges for attitude error and angular velocity, (iv) parametrizing controllers within these ranges, (v) fine-tuning controllers using multi-objective genetic optimization, and (vi) robustness analysis using the Monte Carlo method. Despite the technical issues related to communication with the OPS-SAT-1 hardware, which prevented the execution of the experiment in orbit, this work presents the simulation results that were obtained. These results indicate that fuzzy logic controllers may outperform PID controllers in terms of the accumulated error, settling time and steady-state error, whereas power efficiency appears to be less robust than in the PID. This suggest that a large uncertainty in the model could lead the PID to become more efficient. Near the nominal scenario, the fuzzy controller achieves superior error–cost trade-offs, enabling precise attitude stabilization with lower energy consumption. These findings suggest the potential advantages of modern control approaches compared to classical methods, which will be further assessed through future in-orbit experiments. Full article
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21 pages, 6850 KB  
Article
Design and Simulation-Based Evaluation of the FuzzyBuzz Attitude Control Experiment on the Astrobee Platform
by María Royo, Juan Carlos Crespo, Ali Arshadi, Cristian Flores, Karl Olfe and José Miguel Ezquerro
Aerospace 2026, 13(4), 317; https://doi.org/10.3390/aerospace13040317 - 28 Mar 2026
Viewed by 244
Abstract
Recent space missions demand higher pointing accuracy, smoother attitude transitions and lower energy consumption than those typically achievable with conventional control approaches. This motivates the exploration of intelligent and nonlinear control methods. The FuzzyBuzz experiment investigates the application of fuzzy logic for spacecraft [...] Read more.
Recent space missions demand higher pointing accuracy, smoother attitude transitions and lower energy consumption than those typically achievable with conventional control approaches. This motivates the exploration of intelligent and nonlinear control methods. The FuzzyBuzz experiment investigates the application of fuzzy logic for spacecraft attitude control using NASA’s Astrobee robotic system aboard the International Space Station. Unlike traditional control methods, fuzzy logic introduces a rule-based approach capable of handling uncertainties and nonlinearities inherent in space environments, making it particularly suited for autonomous operations in microgravity. The objective of FuzzyBuzz is to evaluate the effectiveness of fuzzy controllers compared to traditional linear ones, such as Proportional–Integral–Derivative (PID) and H controllers. In addition, a comparison with a nonlinear controller based on a Model Predictive Control (MPC) strategy is considered. The controllers will be tested through predefined attitude maneuvers, evaluating precision, energy efficiency, and real-time adaptability. This work presents the design of the FuzzyBuzz experiment, including the software architecture, simulation environment, experiment protocol, and the development of a fuzzy logic-based attitude control system for Astrobee robots. The proposed fuzzy controller and a PID controller are optimized using a Multi-Objective Particle Swarm Optimization (MOPSO) method, providing a range of operational points with different trade-offs between two metrics, related to convergence time and energy consumption. Results show that the PID controller is better suited for scenarios demanding low convergence times, whereas the fuzzy controller provides smoother responses, reduced steady-state error, and maintains convergence under significant parametric uncertainties. Results from H and MPC controllers will be reported once the in-orbit experiment is performed. Full article
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28 pages, 11377 KB  
Article
Extended State Observer-Assisted Fast Adaptive Extremum-Seeking Searching Interval Type-2 Fuzzy PID Control of Permanent Magnet Synchronous Motors for Speed Ripple Mitigation at Low-Speed Operation
by Fuat Kılıç
Appl. Sci. 2026, 16(6), 3093; https://doi.org/10.3390/app16063093 - 23 Mar 2026
Viewed by 195
Abstract
Permanent magnet synchronous motors (PMSMs) are utilized in demanding conditions and applications requiring precision and accuracy, such as servo systems. Especially at low speeds, the effects of cogging torque, current measurement and offset errors, improper controller gains, mechanical resonance, and torque fluctuations caused [...] Read more.
Permanent magnet synchronous motors (PMSMs) are utilized in demanding conditions and applications requiring precision and accuracy, such as servo systems. Especially at low speeds, the effects of cogging torque, current measurement and offset errors, improper controller gains, mechanical resonance, and torque fluctuations caused by load torque and flux result in fluctuations at various frequencies in the motor output speed. This study, motivated by two factors, proposes an extended state observer (ESO)-based multivariable fast response extremum-seeking (FESC) interval type-2 fuzzy PID (IT2FPID) controller to improve dynamic response and reduce speed ripple at low speeds in situations where all these negative factors could arise. This approach enables the real-time adaptation of parameters to counteract the decline in controller performance caused by the nonlinear characteristics of PMSMs and parameter fluctuations while also optimizing disturbance rejection in the speed response under varying operating conditions and existing speed ripple. The experimental results from the prototype setup validate that the proposed control mechanism is functional, valid, and precise in diminishing speed ripples during low-speed operations. The simulation and test outcomes of the control scheme show that speed noise at low speeds is reduced from 26% to 3% compared to traditional proportional-integral (PI) controller and supertwisting (STW) sliding mode controller (SMC) responses and that the scheme exhibits a 16–23% reduction in undershoot amplitude and faster recovery in the presence of load torque variations. Full article
(This article belongs to the Special Issue Fuzzy Control Systems and Decision-Making)
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33 pages, 5861 KB  
Article
User-Centered Energy Management System for a University Laboratory Based on Intelligent Sensors and Fuzzy Logic
by Cosmin-Florin Fudulu, Mihaela-Gabriela Boicu, Mihaela Vasluianu, Giorgian Neculoiu and Marius-Alexandru Dobrea
Buildings 2026, 16(6), 1257; https://doi.org/10.3390/buildings16061257 - 22 Mar 2026
Viewed by 273
Abstract
The paper proposes an intelligent energy management system designed for a university laboratory room, centered on the user and based on the integration of smart sensors and fuzzy logic for the simultaneous optimization of thermal comfort and energy efficiency. The system architecture integrates [...] Read more.
The paper proposes an intelligent energy management system designed for a university laboratory room, centered on the user and based on the integration of smart sensors and fuzzy logic for the simultaneous optimization of thermal comfort and energy efficiency. The system architecture integrates three control methods, On/Off controller, Proportional Integral Derivative (PID) controller, and Fuzzy Logic, within a hybrid structure capable of managing multiple factors such as thermal comfort, energy consumption, and the availability of renewable energy sources. The system is implemented and tested using Zigbee 3.0 sensors, smart relays, and photovoltaic panels, while variables such as temperature, humidity, energy consumption, and user feedback are monitored. The simulation results, obtained in the MATLAB/Simulink development environment, demonstrate that the fuzzy algorithm reduces thermal oscillations, optimizes energy costs, and maintains perceived comfort within an optimal range. The main contribution of the study lies in the development of a user-centered, interpretable, and scalable architecture, along with a PowerApps application that records occupants’ feedback in real time, which can be implemented in smart buildings with limited computational resources. Two operating scenarios with different time periods were developed for the proposed system. The fuzzy controller maintained a mean temperature deviation below ±0.2 °C, reduced oscillatory behavior compared to PID controller, and enabled photovoltaic coverage of up to 29.97% during peak intervals, with an average daily contribution of 8.77%. The total simulated energy cost was 8.49 RON for the one-day scenario and 48.12 RON for the five-day interval. Full article
(This article belongs to the Special Issue AI-Driven Distributed Optimization for Building Energy Management)
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29 pages, 5249 KB  
Article
A Hybrid Learning and Optimization-Based Path Tracking Control Strategy for Intelligent Electric Vehicles
by Qiuyan Ge, Huajin Chen, Guicheng Liao, Hongxia Zheng, Qianqiang Lu and Defeng Peng
World Electr. Veh. J. 2026, 17(3), 153; https://doi.org/10.3390/wevj17030153 - 18 Mar 2026
Viewed by 252
Abstract
This paper proposes a hierarchical control framework designed to enhance the path tracking accuracy of intelligent electric vehicles under diverse operating conditions. For lateral control, an improved model predictive control strategy is developed, utilizing a fuzzy inference system for parameter initialization and a [...] Read more.
This paper proposes a hierarchical control framework designed to enhance the path tracking accuracy of intelligent electric vehicles under diverse operating conditions. For lateral control, an improved model predictive control strategy is developed, utilizing a fuzzy inference system for parameter initialization and a Deep Deterministic Policy Gradient algorithm for online adaptive tuning. For longitudinal control, a proportional–integral–derivative controller is optimized via a hybrid genetic algorithm–particle swarm optimization method. Co-simulations conducted in CarSim/Simulink under straight-line, double-lane-change, and double-sine-wave maneuvers demonstrate that the proposed framework significantly reduces lateral deviation and heading error while ensuring smoother actuator response. Compared to conventional MPC and PID controllers, the proposed method reduces maximum lateral error by over 50% and settling time by 60%, confirming its effectiveness and robustness in complex tracking scenarios. Full article
(This article belongs to the Section Automated and Connected Vehicles)
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11 pages, 1583 KB  
Proceeding Paper
Enhancement of Dynamic Microgrid Stability Under Climatic Changes Using Multiple Energy Storage Systems
by Amel Brik, Nour El Yakine Kouba and Ahmed Amine Ladjici
Eng. Proc. 2025, 117(1), 66; https://doi.org/10.3390/engproc2025117066 - 17 Mar 2026
Viewed by 185
Abstract
The generation from decentralized energy resources strongly depends on weather conditions, which causes fluctuations and degrades power grid quality. One of the most effective solutions in modern power systems to mitigate this issue is the use of energy storage systems (ESSs). These systems [...] Read more.
The generation from decentralized energy resources strongly depends on weather conditions, which causes fluctuations and degrades power grid quality. One of the most effective solutions in modern power systems to mitigate this issue is the use of energy storage systems (ESSs). These systems enhance the network performance by reducing power fluctuations. In this scope, and for frequency analysis, a model consisting of two interconnected microgrids was considered in this work. The frequency of these microgrids varies due to sudden changes in load or generation (or both). The frequency regulation was performed by an efficient load frequency controller (LFC). This regulation was essential and was employed to improve control performance, reduce the impact of load disturbances on frequency, and minimize power deviations in the power flow tie-lines. A fuzzy logic-based optimizer was installed in each microgrid to optimize the proposed proportional–integral–derivative (PID) controllers by generating their optimal parameters. The main objective of the LFC was to ensure zero steady-state error for system frequency and power deviations in the tie-lines. However, with the increasing integration of renewable energies and the intermittent nature of their production due to climate change, frequency fluctuations arise. To mitigate this issue, a coordinated AGC–PMS (automatic generation control–power management system) regulation with hybrid energy storage systems and interconnected microgrids was designed to enhance the quality and stability of the power network. This paper focuses on the load frequency control (LFC) technique applied to interconnected microgrids integrating renewable energy sources (RESs). It presents an optimization study based on artificial intelligence (AI) combined with the use of energy storage systems (ESSs) and high-voltage direct current (HVDC) transmission link for power management and control. The renewable energy sources used in this work are photovoltaic generators, wind turbines, and a solar thermal power plant. A hybrid energy storage system has been installed to ensure energy management and control. It consists of redox flow batteries (RFBs), a superconducting magnetic energy storage (SMES) system, electric vehicles (EVs), and fuel cells (FCs).The system behavior was analyzed through several case studies to improve frequency regulation and power management under renewable energy integration and load variation conditions. Full article
(This article belongs to the Proceedings of The 4th International Electronic Conference on Processes)
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22 pages, 4960 KB  
Article
Development of a Neural-Fuzzy-Based Variable Admittance Control Strategy for an Upper Limb Rehabilitation Exoskeleton
by Yixing Shi, Keyi Li, Yehong Zhang and Qingcong Wu
Sensors 2026, 26(6), 1838; https://doi.org/10.3390/s26061838 - 14 Mar 2026
Viewed by 315
Abstract
Upper limb motor dysfunction resulting from stroke requires effective rehabilitation solutions; however, current exoskeletons are limited by single-input control, inadequate adaptation to various rehabilitation stages, and restriction to one limb. This study presents the development of a three-degree-of-freedom upper limb rehabilitation exoskeleton with [...] Read more.
Upper limb motor dysfunction resulting from stroke requires effective rehabilitation solutions; however, current exoskeletons are limited by single-input control, inadequate adaptation to various rehabilitation stages, and restriction to one limb. This study presents the development of a three-degree-of-freedom upper limb rehabilitation exoskeleton with three core innovations: (1) a neuro-fuzzy adaptive admittance control architecture that integrates human–robot interaction force and joint angular velocity as dual inputs for real-time damping adjustment, enabling accurate capture of dynamic movement intentions; (2) a Brunnstrom stage-specific fuzzy rule base that directly links clinical rehabilitation needs to adaptive control parameters; (3) a bilateral adaptable mechanical structure, allowing dual-upper limb training to enhance practical application. By combining radial basis function (RBF) neural network-based adaptive proportional–integral–derivative (PID) control with fuzzy variable-parameter admittance control, the system achieves a maximum trajectory tracking error of less than 1.2° and a root mean square (RMS) error of ≤0.13°. Trajectory tracing experiments confirm an RMS error of 2.99 mm for a circular trajectory at Bd = 2. The proposed strategy, validated through position tracking, admittance interaction, and trajectory tracing experiments, effectively balances tracking accuracy and human–machine compliance, providing valuable technical support for robot-assisted upper limb rehabilitation. Full article
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26 pages, 4174 KB  
Article
An Adaptive Neuro-Fuzzy Fractional-Order PID Controller for Energy-Efficient Tracking of a 2-DOF Hip–Knee Lower-Limb Exoskeleton
by Mukhtar Fatihu Hamza and Auwalu Muhammad Abdullahi
Modelling 2026, 7(2), 54; https://doi.org/10.3390/modelling7020054 - 12 Mar 2026
Viewed by 284
Abstract
For safe and efficient human–robot interaction, lower-limb exoskeletons used for assistance and rehabilitation need to be precisely and energy-efficiently controlled. By creating an adaptive neuro-fuzzy fractional-order PID (ANFIS-FOPID) controller, this project seeks to improve tracking accuracy, robustness, and energy efficiency in a two-degree-of-freedom [...] Read more.
For safe and efficient human–robot interaction, lower-limb exoskeletons used for assistance and rehabilitation need to be precisely and energy-efficiently controlled. By creating an adaptive neuro-fuzzy fractional-order PID (ANFIS-FOPID) controller, this project seeks to improve tracking accuracy, robustness, and energy efficiency in a two-degree-of-freedom hip–knee exoskeleton. The Euler–Lagrange formulation is used to derive a nonlinear dynamic model, and a Lyapunov-based stability analysis is used to show that the closed-loop system remains uniformly ultimately bounded under disturbances and parameter uncertainties. The suggested controller performs noticeably better than traditional PID and fixed-parameter FOPID controllers, according to numerical simulations conducted under both normal and perturbed conditions. The ANFIS FOPID achieves root mean square errors below 0.028 rad and lowers the integral absolute errors at the hip and knee joints to 0.1454 and 0.1480, as opposed to 0.3496–0.3712 for PID controllers. Under ±10% parameter uncertainty, the total control-energy proxy drops from 2870.0 (PID) to 936.25, a 67.4% decrease, and stays at 1587.93. Statistically significant variations in energy consumption are confirmed by one-way ANOVA (p < 10−176). Large effect sizes are found (η2 = 0.237–0.314). These results demonstrate the superior tracking performance, robustness, and energy efficiency of the ANFIS-FOPID controller. The results set a quantitative standard for future experimental validation and hardware-in-the-loop implementation, despite being based on high-fidelity simulations. Full article
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26 pages, 4225 KB  
Article
Active Push-Assisted Yaw-Correction Control for Bridge-Area Vessels via ESO and Fuzzy PID
by Cheng Fan, Xiongjun He, Liwen Huang, Teng Wen and Yuhong Zhao
Appl. Sci. 2026, 16(5), 2520; https://doi.org/10.3390/app16052520 - 5 Mar 2026
Viewed by 226
Abstract
This paper investigates ship–pier collision risk caused by yaw deviation in inland bridge waterways. The proposed framework is conceived for fixed auxiliary thruster installation in bridge areas, rather than retrofitting shipboard propulsion systems. A proactive intervention scheme is developed based on state estimation [...] Read more.
This paper investigates ship–pier collision risk caused by yaw deviation in inland bridge waterways. The proposed framework is conceived for fixed auxiliary thruster installation in bridge areas, rather than retrofitting shipboard propulsion systems. A proactive intervention scheme is developed based on state estimation and short-horizon prediction. A Kalman filter is used for state fusion and short-horizon motion prediction. Yaw events are detected via a threshold rule with consecutive-decision logic. An extended state observer (ESO) is adopted to estimate lumped disturbances and model uncertainties. A fuzzy self-tuning PID law is then applied to generate thruster commands for closed-loop corrective control. Numerical simulations suggest that, relative to rudder-only recovery, thruster-assisted intervention yields improved restoration behavior, reduced lateral deviation accumulation, and increased minimum clearance to bridge piers under the tested conditions. Additional tests with cross-current disturbances indicate that the risk-triggered scheme with ESO-based compensation can maintain stable recovery and a higher safety margin. The proposed approach provides an engineering-oriented pathway to extend bridge-area risk management from warning-level assessment to executable control intervention. Full article
(This article belongs to the Section Marine Science and Engineering)
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22 pages, 2865 KB  
Article
Theoretical Analysis of IGAO-Fuzzy PID Fault-Tolerant Control and Performance Optimization for Electro-Hydraulic Active Suspensions Under Internal Leakage Faults
by Haiwu Zheng, Hao Xiong, Dingxuan Zhao, Yufei Zhao, Yinying Ren, Yao Xiao and Yi Han
Actuators 2026, 15(3), 149; https://doi.org/10.3390/act15030149 - 4 Mar 2026
Viewed by 285
Abstract
To address performance degradation and control instability in electro-hydraulic servo active suspension systems due to internal leakage faults arising from wear and aging of hydraulic components, this paper proposes an innovative fuzzy PID fault-tolerant controller based on the Improved Giant Armadillo Optimization (IGAO) [...] Read more.
To address performance degradation and control instability in electro-hydraulic servo active suspension systems due to internal leakage faults arising from wear and aging of hydraulic components, this paper proposes an innovative fuzzy PID fault-tolerant controller based on the Improved Giant Armadillo Optimization (IGAO) algorithm. Specifically, to overcome the limitations of the standard Giant Armadillo Optimization (GAO), which is prone to local optima and exhibits poor convergence performance when handling multi-constraint parameter optimization problems, this study introduces a nonlinear dynamic inertia weight mechanism and a random reflection strategy for out-of-bounds particles to improve the original algorithm’s performance. These enhancements significantly enhance its ability to balance global exploration and local exploitation. Furthermore, this research develops a comprehensive performance evaluation fitness function by quantifying key performance indicators such as body acceleration, suspension dynamic deflection, and tire dynamic load. A quarter-car model incorporating an internal leakage fault was established as a simulation validation platform to demonstrate the reliability of the proposed method. Simulation results indicate that under various road excitation conditions, the proposed IGAO algorithm can rapidly and stably converge to superior parameters for the fuzzy PID controller. Compared to the Particle Swarm Optimization (PSO) and standard GAO algorithm, the control system optimized by IGAO not only significantly more effectively suppresses body vibration and reduces shock amplitude but also exhibits stronger dynamic recovery performance and control robustness under varying degrees of internal leakage faults. This research provides a robust control approach for addressing internal parameter uncertainties in hydraulic systems and offers a new approach to theoretical modeling for enhancing the reliability of design and fault-tolerant control capabilities of active suspension systems. Full article
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