Output tracking and disturbance rejection control for switched systems under asynchronous switching

In this article, we discuss the output tracking and disturbance rejection problem for a class of switched systems with state time-varying delay under asynchronous switching. More precisely, proportional-integral control law is implemented to obtain the required tracking performance for the addressed systems. In addition, an improved equivalent-input-disturbance estimator is utilized to estimate and suppress the external disturbances. Further, the asynchronous switching phenomenon is considered between the proposed controller and the system mode. Setting a proper choice of multiple piecewise Lyapunov-Krasovskii functional, a group of required condition is established in the structure of linear matrix inequalities by using an average dwell time approach. At last, two numerical examples and their simulations including the DC motor driving model are displayed to justify the efficiency and applicability of the proposed control synthesis. (c) 2023 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

Automated summary

In this article, the output tracking and disturbance rejection problem for a class of switched systems with state time-varying delay under asynchronous switching are discussed. Proportional-integral control law is implemented to achieve the required tracking performance, and an improved equivalent-input-disturbance estimator is used to estimate and suppress external disturbances. An average dwell time approach is employed to establish a set of conditions for the structure of linear matrix inequalities through setting a proper choice of multiple piecewise Lyapunov-Krasovskii functional. Two numerical examples and simulations of a DC motor driving model are presented to validate the efficiency and applicability of the proposed control synthesis.