An intermediate-observer-based robust H₂ control of Markov jump systems with mismatched quantization

This paper focused on H₂ anti-disturbance control of Markov jump systems with mismatched quantization. The system state is unknown and transition probabilities are allowed to be known, uncertain and completely unknown. Meanwhile, the mismatched quantization is presented by a polytopic uncertainty form. An intermediate observer is built to simultaneously estimate state and matched disturbances. A composite controller is built in terms of an observer-based state feedback, an estimated matched disturbance and a quantization error compensation. By utilizing the Lyapunov stability method, sufficient conditions for the closed-loop system to be stocastically stable are obtained in the form of linear matrix inequalities. The proposed scheme is validated by a comparative simulation example.