Advanced Applications Based on Nonlinear Optimal and Robust Control

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: 31 December 2024 | Viewed by 756

Special Issue Editors


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Guest Editor
Department of Systems and Naval Mechatronics Engineering, National Cheng Kung University, Tainan 70101, Taiwan
Interests: nonlinear optimal and robust control of nonlinear systems; intelligent robot design; nonlinear estimation
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
Department of Mechanical Engineering, National Pingtung University of Science and Technology, Pingtung 912301, Taiwan
Interests: AI applications; robot design; nonlinear optimal and robust control
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

We are pleased to announce a Special Issue in Mathematics on "Advanced Applications Based on Nonlinear Optimal and Robust Control" methodologies. Nonlinear optimal and robust techniques have become instrumental in addressing the complex challenges across various domains. This Special Issue aims to showcase innovative applications that leverage these methodologies to push the boundaries of current research and practical implementations.

This Special Issue focuses on revealing advanced applications arising from the principles of nonlinear optimal and robust control. Contributions may include innovative applications in various domains, such as aerospace, robotics, and industrial processes. The goal is to highlight the practical impact and versatility of nonlinear optimal and robust control methodologies in addressing complicated dynamical systems. This Special Issue invites researchers, scholars, and practitioners to contribute original articles and reviews exploring advanced applications emerging from nonlinear optimal and robust methodologies. The topics of interest include, but are not limited to, the following: 

Topics of Interest:

  1. Novel applications of nonlinear optimal control in real-world scenarios;
  2. Robust control strategies applied to challenging and uncertain environments;
  3. Integration of nonlinear control techniques in aerospace and aeronautics;
  4. Applications of robust control in autonomous systems and robotics;
  5. Nonlinear control approaches for enhancing performances of industrial processes;
  6. Case studies demonstrating the effectiveness of nonlinear optimal and robust control.

Dr. Yung-Yue Chen
Dr. Yung-Hsiang Chen
Guest Editors

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Keywords

  • nonlinear optimal control
  • robust control
  • control applications
  • aerospace systems
  • robotics
  • industrial processes
  • autonomous systems
  • dynamic systems
  • real-world scenarios
  • performance enhancement
  • uncertain environments
  • case studies
  • applications in aeronautics
  • control methodologies
  • system dynamics
  • innovative control strategies
  • complex systems
  • nonlinear control techniques
  • practical impact
  • versatility in control applications

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Published Papers (1 paper)

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Research

21 pages, 3231 KiB  
Article
Designing Decentralized Multi-Variable Robust Controllers: A Multi-Objective Approach Considering Nearly Optimal Solutions
by Alberto Pajares, Xavier Blasco, Juan Manuel Herrero, Javier Sanchis and Raúl Simarro
Mathematics 2024, 12(13), 2124; https://doi.org/10.3390/math12132124 - 6 Jul 2024
Viewed by 496
Abstract
This article presents a new methodology for designing a robust, decentralized control structure that considers stochastic parametric uncertainty and uses a multi-objective approach. This design tunes the loop pairing and controller to be implemented. The proposed approach obtains the optimal and nearly optimal [...] Read more.
This article presents a new methodology for designing a robust, decentralized control structure that considers stochastic parametric uncertainty and uses a multi-objective approach. This design tunes the loop pairing and controller to be implemented. The proposed approach obtains the optimal and nearly optimal controllers relevant to the nominal scenario. Once obtained, the robustness of these solutions is analyzed. This methodology is compared with a traditional approach for selecting the most robust control pairings. The traditional approach obtains lightly robust controllers, i.e., the most robust controllers with an acceptable performance for the nominal scenario, and it obtains trade-offs between robustness and nominal performance. However, the traditional approach has a high computational cost because it is necessary to consider uncertainty in the optimization stage. The proposed approach mathematically guarantees the acquisition of at least one neighbor controller for each existing lightly robust controller. Therefore, this approach obtains solutions similar to lightly robust solutions with a significantly lower computational cost. Furthermore, the proposed approach provides the designer with more diversity and interesting solutions that are not lightly robust. The different approaches are compared using an example of a multi-variable process with two alternative control structures. The results show the usefulness of the proposed methodology. Full article
(This article belongs to the Special Issue Advanced Applications Based on Nonlinear Optimal and Robust Control)
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