Title :
Induced l2 filtering of fuzzy stochastic systems with time-varying delays
Author :
Xiaojie Su ; Peng Shi ; Ligang Wu ; Sing Kiong Nguang
Author_Institution :
Space Control & Inertial Technol. Res. Center, Harbin Inst. of Technol., Harbin, China
Abstract :
This paper is concerned with the problem of induced l2 filter design for a class of discrete-time Takagi-Sugeno fuzzy Itô stochastic systems with time-varying delays. Attention is focused on the design of the desired filter to guarantee an induced l2 performance for the filtering error system. A new comparison model is proposed by employing a new approximation for the time-varying delay state, and then, sufficient conditions for the obtained filtering error system are derived by this comparison model. A desired filter is constructed by solving a convex optimization problem, which can be efficiently solved by standard numerical algorithms. Finally, simulation examples are provided to illustrate the effectiveness of the proposed approaches.
Keywords :
approximation theory; convex programming; delay systems; discrete time systems; filtering theory; fuzzy control; stochastic systems; convex optimization problem; discrete-time Takagi-Sugeno fuzzy Ito stochastic systems; filtering error system; induced l2 filter design; induced l2 performance; standard numerical algorithms; sufficient conditions; time-varying delay state approximation; Approximation methods; Delay; Stochastic processes; Stochastic systems; Symmetric matrices; Time varying systems; Uncertainty; Induced $ell_{2}$ filter design; Takagi–Sugeno (T-S) fuzzy systems; scaled small gain (SSG) theorem; stochastic systems; time delay;
Journal_Title :
Cybernetics, IEEE Transactions on
DOI :
10.1109/TSMCB.2012.2227721
