H∞ filtering for discrete-time switched fuzzy systems with randomly occurring time-varying delay and packet dropouts

• Published in: Signal processing Vol. 143; pp. 320 - 327
• Main Authors: Zhang, Meng, Shi, Peng, Liu, Zhitao, Ma, Longhua, Su, Hongye
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.02.2018
• Subjects: H∞ Filtering; Packet dropouts; Switched systems; T-S Fuzzy systems; Time-varying delay; Switched systems; H∞ Filtering; Time-varying delay; T-S Fuzzy systems; Packet dropouts
• ISSN: 0165-1684; 1872-7557
• DOI: 10.1016/j.sigpro.2017.09.009

•H∞ filtering problem for a class of discrete-time switched fuzzy systems with randomly occurring time-varying delay and packet dropouts is investigated in the paper.•The stochastic time-varying delay and packet dropouts phenomenon are assumed to occur in a random way but satisfy the well-known Bernoulli binary distribution, meanwhile, all the stochastic variables under consideration are mutually independent.•A novel delay-dependent piecewise Lyapunov function is introduced, and sufficient conditions are established in the form of linear matrix inequalities, which ensure the filtering error system is exponentially stable with prescribed H∞ performance. In this paper, we investigate H∞ filtering problem for a class of discrete-time switched fuzzy systems with randomly occurring time-varying delay and packet dropouts. The fuzzy plant incorporates features of switched systems and Takagi–Sugeno (T-S) fuzzy systems simultaneously. The stochastic time-varying delay and packet dropouts phenomenon are assumed to occur in a random way but satisfy the well-known Bernoulli binary distribution, meanwhile, all the stochastic variables under consideration are mutually independent. By introducing a novel delay-dependent piecewise Lyapunov function, sufficient conditions are established in the form of linear matrix inequalities, which ensure the filtering error system is exponentially stable with prescribed H∞ performance. Finally, an illustrative example is exploited to verify the effectiveness of the proposed approaches.