Reliable state estimation of switched neutral system with nonlinear actuator faults via sampled-data control

Abstract

This paper aims to solve the reliable state estimation problem of an uncertain switched neutral system subject to nonlinear actuator faults and time-varying delay by using sampled-data approach. To be precise, the well-known Luenberger estimator is constructed to determine the immeasurable states of the addressed system and a general actuator fault model is employed to describe the nonlinearities encountering in the control design. After that, by defining an error variable, the corresponding estimation error system is formulated. By the virtue of Lyapunov–Krasovskii stability theory and average dwell-time method, a new delay-dependent sufficient criterion is established to guarantee the existence of the desired estimator and sampled-data gains and subsequently, the explicit expression of those gains is presented by means of the solution to a set of linear matrix inequalities. Moreover, two numerical examples are given to show the efficiency of the proposed estimator design schemes, where it is shown that the estimator gains can ensure the exponential stability of the considered switched neutral systems.