Delay-dependent H infinity filtering for discrete-time fuzzy stochastic systems with mixed delays and sector-bounded nonlinearity

作者：Hua Mingang^*; Cai Yixi; Ni Jianjun; Fei Juntao

来源：Journal of the Franklin Institute, 2015, 352(8): 3069-3097.

DOI：10.1016/j.jfranklin.2014.11.009

• Delay-dependent
• Discrete and distributed delays
• Filter problem
• Jensen inequality
• Lyapunov-Krasovskii functionals
• Mean square stability
• Sector-bounded nonlinearities
• TakagiSugeno (T-S)

The delay-dependent 11 3 filter problem for discrete-time Takagi-Sugeno (T-S) fuzzy stochastic systems with mixed delays and sector-bounded nonlinearity is considered in this paper. The mixed delays consist of both discrete and distributed delays, and the nonlinearity under consideration is subject to sector-bounded condition. Both the the fuzzy-rule-dependent and fuzzy-rule-independent filters are considered. Based on discrete Jensen inequality and the Lyapunov-Krasovskii functional approach combined with the S-procedure, sufficient conditions for the existence of admissible filters are established in terms of linear matrix inequalities (LMIs), which ensure the asymptotical mean-square stability as well as a prescribed H infinity performance. Finally, numerical examples are given to demonstrate the effectiveness and less conservatism of the proposed approach.

• 出版日期2015-8
• 单位河海大学