Sliding sector-based variable structure control for Markov jump system

For a class of continuous-time Markov jump linear uncertain systems, a variable structure control strategy was design to achieve quadratic stability based on sliding sector methods. The definition of the sliding sector for Markov jump system was firstly presented, and then based on linear matrix inequality technique, the design method of the sliding sector for Markov jump linear system was given. Finally, the variable structure control strategy for Markov jump linear system was developed. It was proved that quadratic stability is obtained by using the proposed method, and result of a numerical simulation example indicated the efficiency of the developed stability.