On the design of output information-based sliding mode controllers for switched descriptor systems: Linear sliding variable approach

Abstract

This paper investigates the linear sliding variable-based output feedback sliding mode control problems of switched descriptor systems. Based on the output information, a static output feedback sliding mode control scheme and a reduced-order observer-based sliding mode control scheme are respectively developed, where sufficient conditions are derived to guarantee the exponentially asymptotic stability of the sliding motions. The design procedures reveal that the static output feedback sliding mode control scheme has a simpler design structure than the reduced-order observer-based sliding mode control scheme, and the reduced-order observer-based sliding mode control scheme has a broader range of applications than the static output feedback sliding mode control scheme. Finally, a DC motor system is provided to show the efficacy of the proposed schemes.