Filtering for Discrete-Time Switched Fuzzy Systems with Quantization
In this chapter, the \(H_\infty \) and \(L_2\)–\(L_\infty \) filtering problems are investigated for discrete-time switched fuzzy systems with quantization. We apply the sector bound approach to deal with quantization errors as sector bound uncertainties. By utilizing the fuzzy-basis-dependent Lyapunov function, sufficient conditions are given such that the filtering error system is stochastically stable with the prescribed \(H_\infty \) or \(L_2\)–\(L_\infty \) performance index. Slack matrices are introduced to eliminate the coupling between the Lyapunov matrices and the system matrices. And main results are expressed as LMIs.