Non-weighted Asynchronous H_∞ Filtering for Continuous-Time Switched Fuzzy Systems

This paper focuses on the non-weighted asynchronous H_∞ filtering problem for a class of continuous-time switched nonlinear systems. The nonlinearities of subsystems are described by Takagi–Sugeno (T-S) fuzzy models. Using the information of switching instants, the filters are designed to be time-scheduled and separately in the asynchronous and synchronous time intervals. Based on a new time-scheduled fuzzy multiple Lyapunov function (TSFMLF), sufficient conditions are achieved to guarantee the switched filtering error system is globally asymptotically stable with a non-weighted H_∞ performance. Finally, an example is presented to demonstrated the effectiveness of the theoretical results.