Bumpless transfer sliding mode control for discrete-time switched systems under average dwell-time switchings

Abstract

This paper is concerned with the bumpless transfer sliding mode control problem for discrete-time switched systems under average dwell-time (ADT) switching signals. In order to deal with the external disturbances and suppress the control input bumps, a sliding mode controller is synthesized with the combination of the bumpless transfer technique. Particularly, by introducing a reference input signal, a novel bumpless transfer constraint is imposed for the switched systems driven by the sliding mode control, and sufficient conditions are presented to ensure the stability as well as the bumpless transfer performance of the resultant sliding mode dynamics with the help of the ADT method and the Lyapunov function technique. Finally, the feasibility and effectiveness of the proposed results are demonstrated by two examples, including an application of an aero-engine control system.