Linear sliding variable‐based sliding mode controller design of descriptor systems via output information

Abstract

This study investigates the design problem of the linear sliding variable-based sliding mode controllers of descriptor systems via output information. A generalised regular form, which is the counterpart of that for normal systems, is first recalled. Then a static output feedback sliding mode control strategy is developed to stabilise the descriptor system under consideration and the result is further improved by a reduced-order observer-based sliding mode control strategy. Necessary and sufficient conditions are derived such that the resulting sliding motion is regular and asymptotically stable. It is shown that the main merit of the static output feedback sliding mode control method is the simplicity and that of the reduced-order observer-based sliding mode control method is the elimination of a restrictive assumption frequently used in the static output feedback sliding mode control method. Finally, two connected one-mass oscillators model is numerically simulated to testify the validity of the proposed methods.