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Robust fuzzy control of nonlinear stochastic delay systems with impulsive effects
Authors:Jianjiang Yu  Kanjian Zhang  Shumin Fei  Haibo Jiang
Affiliation:1. School of Information Science and Technology , Yancheng Teachers University , Yancheng 224002, P.R. China;2. School of Automation , Southeast University , Nanjing 210096, P.R. China jjyuseu@gmail.com;4. School of Automation , Southeast University , Nanjing 210096, P.R. China;5. School of Mathematics , Yancheng Teachers University , Yancheng 224051, P.R. China
Abstract:The problem of robust fuzzy control for a class of nonlinear fuzzy impulsive stochastic systems with time-varying delays is investigated. The nonlinear delay system is represented by the well-known T–S fuzzy model. The so-called parallel distributed compensation idea is employed to design the state feedback controller. Sufficient conditions for mean square exponential stability of the closed-loop system are derived in terms of linear matrix inequalities. Finally, a numerical example is given to illustrate the applicability of the theoretical results.
Keywords:nonlinear stochastic systems  impulsive control  T–S fuzzy model  mean square exponential stability
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