1. Anti-windup-like Compensator Synthesis for Discrete-Time Quantized Control Systems
- Author
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Alsamadi, S., Ferrante, F., Tarbouriech, S., IMT École nationale supérieure des Mines d'Albi-Carmaux (IMT Mines Albi), Institut Mines-Télécom [Paris] (IMT), Centre Génie Industriel (CGI), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Università degli Studi di Perugia = University of Perugia (UNIPG), Équipe Méthodes et Algorithmes en Commande (LAAS-MAC), Laboratoire d'analyse et d'architecture des systèmes (LAAS), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université de Toulouse (UT)-Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT), and Masaaki Kanno
- Subjects
LMIs ,[SPI]Engineering Sciences [physics] ,Quantized control ,Optimization and Control (math.OC) ,Control and Systems Engineering ,[INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering ,FOS: Mathematics ,FOS: Electrical engineering, electronic engineering, information engineering ,anti-windup like compensator design ,Systems and Control (eess.SY) ,stability ,Mathematics - Optimization and Control ,Electrical Engineering and Systems Science - Systems and Control - Abstract
This paper addresses the problem of designing an anti-windup like compensator for discrete-time linear control systems with quantized input. The proposed compensator provides a correction signal proportional to the quantization error that fed to the controller. The compensator is designed to ensure that solutions to the closed-loop systems converge in finite time into a compact set containing the origin that can be tuned by the designer. A numerically tractable algorithm with feasibility guarantees is provided for the design of the compensator. The proposed results are illustrated on an academic example and an open-loop unstable aircraft system., Comment: Extended version of the conference paper. V1 is submitted for presentation at the 10th IFAC Symposium on Robust Control Design ROCOND 2022. V2 and V3, and V4 fix some minor oversights
- Published
- 2022
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