Asynchronous H∞ Filtering for Switched T–S Fuzzy Systems and Its Application to the Continuous Stirred Tank Reactor

This paper is concerned with the $$H_\infty $$ filtering problem for switched Takagi–Sugeno (T–S) fuzzy systems with asynchronous switching, where “asynchronous” means that the switching of the filters has a lag to the switching of system models. In the switched T–S fuzzy systems, every subsystem is represented by the well-known T–S fuzzy model. Using the multiple Lyapunov functions approach and mode-dependent average dwell time technique, a sufficient condition is developed to ensure the filtering error system to be globally uniformly asymptotically stable with a weighted $$H_\infty $$ performance index. Moreover, the desired asynchronous $$H_\infty $$ filters can be constructed by solving a set of linear matrix inequalities. Finally, an example about the continuous stirred tank reactor is provided to demonstrate the applicability of the obtained results.