Repetitive control design for switched neutral systems with input time‐delay

Abstract

The design of tracking control problem and compensation of disturbance for switched neutral systems with multiple time-delays and external disturbances are addressed in this paper. In this regard, a modified repetitive control technique based on the Matausek-Micic modified Smith predictor approach is being implemented, which assures the exact tracking performance and disturbance attenuation with high precision in the considered system. To be specific, the integration of transfer function with modified Smith predictor block not only provides the accurate compensation of input time-delays but also ensures the exact estimation and attenuation of external disturbances effectually. Furthermore, according to Lyapunov stability approach combined with average-dwell-time technique, a group of adequate conditions is derived in the form of matrix inequalities. Simultaneously, by solving the established matrix inequalities using available software the controller gain matrices are calculated.Ultimately, the simulation results of three numerical examples are presented to validate the efficiency and dominance of the suggested control procedure.