Title :
Filter design for stochastically perturbed T-S Fuzzy systems
Author :
Xiaojie Su ; Peng Shi ; Ligang Wu ; Rongni Yang
Author_Institution :
Space Control & Inertial Technol. Res. Center, Harbin Inst. of Technol., Harbin, China
Abstract :
In this paper, the problem of induced ℓ2 filter 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 ℓ2 performance index by solving a convex optimization problem, which can be efficiently solved by standard numerical algorithms.
Keywords :
control system synthesis; convex programming; delays; filtering theory; fuzzy systems; perturbation techniques; stochastic systems; time-varying systems; approximation; convex optimization problem; induced ℓ2 filter design; novel comparison model; standard numerical algorithms; stochastic perturbed T-S fuzzy systems; time-varying delay state; Approximation methods; Bismuth; Delays; Educational institutions; Fuzzy systems; Stochastic systems; Time-varying systems;
Conference_Titel :
Control and Automation (ICCA), 2013 10th IEEE International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4673-4707-5
DOI :
10.1109/ICCA.2013.6564997