Finsler-based Sampled-data Controller Design for Takagi-Sugeno Systems
| Autor: | Kevin Guelton, Valter J. S. Leite, Fayçal Bourahala, Adriano N. D. Lopes, Laurent Arcese |
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| Přispěvatelé: | Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804 (CRESTIC), Université de Reims Champagne-Ardenne (URCA), Centro Federal de Educação Tecnológica de Minas Gerais (CEFET-MG), Université 20 Août 1955 Skikda |
| Rok vydání: | 2020 |
| Předmět: |
Scheme (programming language)
0209 industrial biotechnology Computer science [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] Takagi-Sugeno models Context (language use) 02 engineering and technology [SPI.AUTO]Engineering Sciences [physics]/Automatic [INFO.INFO-AI]Computer Science [cs]/Artificial Intelligence [cs.AI] 020901 industrial engineering & automation Lyapunov Krasowskii Functionals Computer Science::Systems and Control Control theory [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering 0202 electrical engineering electronic engineering information engineering Design methods computer.programming_language Lemma (mathematics) 020208 electrical & electronic engineering Relaxation (iterative method) Fuzzy control system Function (mathematics) Sampled-data controllers Control and Systems Engineering Asynchronous communication computer |
| Zdroj: | IFAC-Papers IFAC World Congress IFAC World Congress, 2020, Berlin, Germany. pp.7965-7970, ⟨10.1016/j.ifacol.2020.12.2199⟩ |
| ISSN: | 2405-8963 |
| DOI: | 10.1016/j.ifacol.2020.12.2199 |
| Popis: | International audience; This paper investigates the sampled-data control of continuous-time Takagi-Sugeno (T-S) fuzzy systems. The closed-loop dynamics is rewritten as a T-S system with input time-varying delays. In this context, asynchronous membership functions appears in the closed-loop dynamics. Thus, to reduce the conservatism of design conditions involving mismatch membership functions, a dedicated relaxation scheme is proposed. Then, from a convenient Lyapunov-Krasovskii function and the application of the Finsler's Lemma, new LMI-based conditions are proposed for the design of sampled-data Parallel-Distributed-Compensation (PDC) controllers. An example is provided to illustrate the effectiveness of the proposed design methodology in simulation, as well as to highlight their conservatism improvement regarding to previous related results from the literature. |
| Databáze: | OpenAIRE |
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