Robust Control of Discrete-time Singular Markovian Jump Systems with Partly Unknown Transition Probabilities by Static Output Feedback

This paper considers the robust control of discrete-time uncertain singular Markovian jump systems with partially unknown transition probabilities by static output feedback. Based on a necessary and sufficient condition of the stochastic stability with partially unknown transition probabilities of the unforced systems, some sufficient conditions are obtained to design of a static output feedback controller and a robust static output feedback controller, which guarantee that the closed-loop systems are piecewise regular, causal and stochastically stable by employing the linear matrix inequality technique. Finally, some examples are provided to demonstrate the effectiveness of the proposed approach.