Local H∞ Control for Continuous-Time T-S Fuzzy Systems via Generalized Non-Quadratic Lyapunov Functions

Autor: Guolin Hu, Jian Zhang, Zhiguo Yan
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematics, Vol 10, Iss 19, p 3438 (2022)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math10193438
Popis: This paper further develops a relaxed method to reduce conservatism in H∞ feedback control for continuous-time T-S fuzzy systems via a generalized non-quadratic Lyapunov function. Different from the results of some exisiting works, the generalized H∞ state feedback controller is designed. The relaxed stabilization conditions are obtained by applying Finsler’s lemma with the homogenous polynomial multipliers, and the H∞ performance is acquired by solving an optimization problem. In addition, the proposed method could be expanded to handle other control problems for fuzzy systems. Two examples are given to show the validity of the proposed results.
Databáze: Directory of Open Access Journals
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