Dissipativity-based asynchronous control for time-varying delay T-S fuzzy Markov jump systems with multisource disturbances and input saturation

In this paper, the problem of asynchronous dissipative control for a class of Takagi-Sugeno (T-S) fuzzy Markov jump systems with multiple sources disturbances is studied. Compared with the previous conclusions, the parameter uncertainty, time-varying delay and input saturation are taken into account in nonlinear system. And a new fuzzy disturbance rejection control structure is proposed by setting the disturbance observer and controller. The Hidden Markov model (HMM) is used to detect the mode information in the case that the modes mismatch between the system and controller, which ensures that the system is exponentially mean-square stable and has a satisfactory dissipative performance. Then, the sufficient conditions for the stability and dissipative of the augmented system are given in the form of linear matrix inequalities (LMIs), and the gain matrices of the observer and controller can be directly calculated. Finally, the practicability and effectiveness of the proposed method are verified by two examples.