Filtering for Discrete-Time Switched Fuzzy Systems With Quantization

The paper is concerned with the H ∞ and I 2 -I ∞ 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 ∞ or I 2 -I ∞ sense is achieved. Both numerical and practical examples are provided to show the feasibility and efficiency of the design schemes.