Filtering for Discrete-Time Switched Fuzzy Systems With Quantization

The paper is concerned with the $H_\infty$ and $l_2$ – $l_\infty$ filtering design problems for discrete-time nonlinear switched systems with quantized measurements using the Takagi–Sugeno (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. Based 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 $H_\infty$ or $l_2$ – $l_\infty$ sense is achieved. Both numerical and practical examples are provided to show the feasibility and efficiency of the design schemes.