Filtering for discrete-time switched fuzzy systems with quantization

Abstract

The paper is concerned with the H∞ and l₂-l∞ filtering design problems for discrete-time nonlinear switched systems with quantized measurements using the T-S fuzzy model. The systems under consideration inherently combine features of the switched hybrid systems and the T-S fuzzy systems. The sector bound approach is employed to deal with quantization effects. Base on the fuzzy-basis-dependent Lyapunov function, sufficient conditions are established such that the filtering error system is stochastically stable and a prescribed noise attenuation level in an H∞ or l₂-l∞ sense is achieved. Both numerical example and practical example are provided to show the feasibility and efficiency of the design schemes.