A New Approach to Static Output Control of Uncertain Continuous Markov Jump Linear Systems

This paper is concerned with the static output stabilization of uncertain continuous Markov jump linear systems with partly known transition probabilities. Uncertainties in system output matrices are addressed in terms of norm-bounded and polytopic formulations. Adopting a new separation technique, sufficient conditions for designing static output controllers are established in terms of linear matrix inequalities. Compared with the existing results, the proposed methods do not impose equality constraints and calculate the null space of output matrices. A numerical example is given to show the effectiveness of the proposed method.