Robust Finite-Time H_∞ Filtering for Uncertain Switched Systems With State Constraints and Multiple Time Delays

In this paper, robust finite-time H∞ filtering for uncertain switched systems with state constraints and multiple time delays is investigated. In this studied plant, there are nonlinear functions and exogenous disturbances. First, a filter is described for the switched systems. A closed-loop system is earned to acquire filtering error. Secondly, piecewise Lyapunov function is designed to gain sufficient stability conditions for the closed-loop system. Not only finite-time boundedness (FTB) but also input-output finite-time stability (IO-FTS) is studied. The attempt is the first time to research. In the end, an example is shown to demonstrate the availability of this method suggested in this study.