Filtering Design of Switched Systems With Markovian Jump Parameters and Lipschitz Nonlinearity via Fuzzy Approach

In this paper, the design of <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> filtering is addressed when nonlinear Markovian switching systems are modeled as a class of switched systems based on T-S fuzzy technique. Different from the previous research, the transition probabilities are time-variant and not known exactly in the Markovian switching systems. The addressed plants are represented by the fuzzy switched systems with global Lipschitz nonlinearities and random noises depending on states as well as sensor nonlinearities. And the influences of data packet losses, sensor saturation and output logarithmic quantization are taken into consideration at the same time. The stability of the systems and the desired <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> performance are obtained via the fuzzy Lyapunov functional method. The solutions of <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> filtering are derived by the application of the cone complementarity linearisation (CCL) procedure. Finally, the validity of the suggested design technique is showed via a simulation example.