Active disturbance rejection in switched neutral‐delay systems based on equivalent‐input‐disturbance approach

Abstract

This study presents a new configuration and a design method for the control of a switched neutral‐delay system. The equivalent‐input‐disturbance (EID) approach is used to construct an EID estimator to estimate the influence of exogenous disturbances on the system. A new control law is constructed that incorporates an EID estimate to ensure satisfactory disturbance rejection performance. A sufficient condition for uniformly ultimate boundedness is derived in term of linear matrix inequalities (LMIs) to guarantee the stability of the system. Moreover, state feedback control laws and state observers are designed based on the LMIs for arbitrary switching rules. A numerical example demonstrates the validity of the method.