Dynamic output-feedback H control for continuous-time singular Markovian jump systems

Abstract

This paper considers a dynamic output-feedback H control for continuous-time singular Markovian jump systems, whereas the existing research studies in literature focused on state-feedback or static output-feedback H control. While they have only provided the sufficient conditions, this paper successfully obtains the necessary and sufficient condition for the existence of the dynamic output-feedbackH control. Furthermore, this condition is expressed with linear matrix inequalities by the so-called replacement technique. Two numerical examples show the validity of the resulting control.