Filter design for stochastically perturbed T-S Fuzzy systems
Xiaojie Su, Peng Jia Shi, Ligang Wu, Rongni Yang · 2013
In this paper, the problem of induced ℓ2filter design is investigated for a class of T-S fuzzy Ito stochastic systems. A novel comparison model is introduced by employing a new approximation for time-varying delay state, and then sufficient conditions are proposed for the resulting filtering error system. The desired filter is to be stochastically stable and meets an induced ℓ2performance index by solving a convex optimization problem, which can be efficiently solved by standard numerical algorithms.