Multiple-mode switched observer-based unknown input estimation for a class of switched systems

This paper considers the issue of unknown input estimation for a class of uncertain switched linear systems by designing multiple-mode switched observer. Under average dwell time (ADT), the multiple-mode switched observer is proposed to estimate the states of switched system even if it subjects to unknown inputs, where the observer gain matrices are also obtained by solving a linear matrix inequality (LMI). A switching signal is designed to guarantee the exponential stability of error dynamics. Next, an approach of differential numerical solution is provided to obtain the approximate value of system output derivative. Based on the state estimation and the numerical solution of system output derivative, a kind of algebraic reconstruction method of unknown information is developed such that the unknown input of switched system can be estimated. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed methods.