Sliding mode output feedback control for continuous systems without rank constraint

Abstract

Summary This paper addresses the sliding mode control problem for continuous systems in the output feedback framework. To remove the conventional rank constraint imposed on the input and output matrices, a novel compensator‐based sliding surface is proposed firstly. Then, by designing an unmeasured state and disturbance (USD) observer to estimate the lumped unmeasurable state and external disturbance, both the discontinuous and continuous sliding mode output feedback controllers are synthesized. Finally, the validity of the proposed methods is illustrated by two simulation examples.