Nonsynchronized state estimation of discrete time piecewise linear systems

This paper presents two approaches to H_∞ state estimation of discrete-time piecewise linear systems based on a common quadratic Lyapunov function and a piecewise quadratic Lyapunov function, respectively. The key issue addressed in this paper is that the system states and their estimates may stay at different regions of the state space. It is shown that the resulting state estimation error systems is globally stable with l₂ performance, and the state estimator gains can be obtained by solving a set of linear matrix inequalities. Two simulation examples are finally given to illustrate the performance of the proposed approaches.