Nonlinear System Modelling and Control

A special issue of Computation (ISSN 2079-3197). This special issue belongs to the section "Computational Engineering".

Deadline for manuscript submissions: 30 April 2025 | Viewed by 549

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Institute for the Protection of Maritime Infrastructures, German Aerospace Center (DLR), 27572 Bremerhaven, Germany
Interests: nonlinear system identification and control; machine learning and networked control systems; multi-agent systems; distributed control
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Special Issue Information

Dear Colleagues,

Modelling of nonlinear systems and control is a vital field in engineering and mathematics, aiming to understand, model, and manipulate systems exhibiting nonlinear behavior. Unlike linear systems, where outputs are directly proportional to inputs, nonlinear systems feature more complex dynamics, making them ubiquitous in real-world applications such as robotics, aerospace, energy applications, bioengineering, economics and many more. The process of system modelling/identification involves constructing mathematical models based on observed data. For nonlinear systems, this typically entails capturing the system’s input–output relationships and internal dynamics, which can exhibit characteristics such as saturation, hysteresis, and multi-stability. Techniques employed include nonlinear regression, neural networks, and differential equation modelling, often requiring advanced algorithms and significant computational resources. Once a nonlinear system is accurately identified, control strategies can be developed to achieve desired behaviors. Nonlinear control methods, such as feedback linearization, sliding mode control, and adaptive control, are designed to handle the intricacies of nonlinear dynamics, ensuring stability, performance, and robustness. In summary, modelling and control of nonlinear systems are essential for developing sophisticated technologies and enhancing system performance in complex environments, reflecting a crucial intersection of theoretical research and practical application.

Dr. Chathura Wanigasekara
Guest Editor

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Keywords

  • adaptive control
  • robust control
  • data-driven modelling
  • sliding mode control
  • model predictive control (MPC)
  • fuzzy logic modelling
  • neural network modelling
  • networked control systems
  • hybrid systems
  • nonlinear observer design
  • optimal control
  • lyapunov-based modelling
  • nonlinear system reduction
  • time delay systems
  • applications of nonlinear system modelling and control

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Published Papers (1 paper)

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Research

22 pages, 4764 KiB  
Article
The Effect of Proportional, Proportional-Integral, and Proportional-Integral-Derivative Controllers on Improving the Performance of Torsional Vibrations on a Dynamical System
by Khalid Alluhydan, Ashraf Taha EL-Sayed and Fatma Taha El-Bahrawy
Computation 2024, 12(8), 157; https://doi.org/10.3390/computation12080157 - 3 Aug 2024
Viewed by 388
Abstract
The primary goal of this research is to lessen the high vibration that the model causes by using an appropriate vibration control. Thus, we begin by implementing various controller types to investigate their impact on the system’s reaction and evaluate each control’s outcomes. [...] Read more.
The primary goal of this research is to lessen the high vibration that the model causes by using an appropriate vibration control. Thus, we begin by implementing various controller types to investigate their impact on the system’s reaction and evaluate each control’s outcomes. The controller types are presented as proportional (P), proportional-integral (PI), and proportional-integral-derivative (PID) controllers. We employed PID control to regulate the torsional vibration behavior on a dynamical system. The PID controller aims to increase system stability after seeing the impact of P and PI control. This kind of control ensures that there are no unstable components in the system. By using the multiple time scale perturbation (MTSP) technique, a first-order approximate solution has been obtained. Using the frequency response function approach, the stability and steady-state response of the system at the primary resonance scenario (Ω1ω1,Ω2ω2) are considered as the worst resonance and addressed. Additionally examined are the nonlinear dynamical system’s chaotic response and the numerical solution for various parameter values. The MATLAB programs are utilized to attain simulation outcomes. Full article
(This article belongs to the Special Issue Nonlinear System Modelling and Control)
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