Finite-time non-fragile H∞ sampled-data control for uncertain T-S fuzzy system with time-varying delay and nonlinear perturbation subject to Markovian jump. (April 2020)

• Record Type: Journal Article
• Authors: Zhang, Yutong; Ma, Yuechao; Fu, Lei; Zhao, Wenying; Huang, Xiaojie
• Is Part Of: ISA transactions. Volume 99(2020)
• Page Start: 59
• Page End: 73
• Publication Date: 2020-04
• Subjects: Finite-time H∞ boundedness -- Markovian jump -- T-S fuzzy system -- Non-fragile control -- Sampled-data control -- Linear matrix inequalities; Engineering instruments -- Periodicals; Engineering instruments; Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.isatra.2019.09.007
• Languages: English
• ISSNs: 0019-0578

Abstract

Abstract: This paper focuses on studying the finite-time non-fragile H ∞ sampled-data control of uncertain T-S fuzzy time-varying delay system with nonlinear perturbation and Markovian jump parameters. We first construct a different Lyapunov-Krasovskii functional that plays a key role to fully capture the available characteristics of sampling period. Second, based on the Lyapunov-Krasovskii functional approach, free weighting matrix method and a novel efficient inequality technique, less conservative sufficient conditions are established, which make stochastic fuzzy system achieve finite-time boundedness and finite-time H ∞ boundedness with an optimized performance. Then, the desired multiplicative non-fragile sampled-data control gains can be obtained by solving the linear matrix inequalities. Finally, three numerical examples are given to illustrate the effectiveness of the proposed method. Highlights: Firstly, the resulting closed-loop sampled-data system and a different LKF which based on sampling period is constructed. Secondly, a novel efficient integral inequality and free weighting matrices are adopted, which have advantage of reducing conservatism. Thirdly, a non-fragile sampled-data controller based on corresponding parallel distributed compensation (PDC) approach is designed, which can not only make the system FTB but also guarantee an optimized H ∞ performance index. Finally, the uncertain parameters Δ B i for multiplicative non-fragile controller are considered in the fuzzy Markovian jump model.