Asynchronous Control of Uncertain Markov Jump Systems With Actuator Saturation

Abstract

For Markov jump systems (MJSs) with parameter uncertainties and actuator saturation, the stochastic stabilization problem is investigated in this brief. When the desired system modes are not transmitted accurately, the controller modes can not run synchronously with the system modes. In light of this defective situation, a hidden Markov model (HMM) is constructed for the design of an asynchronous controller. By employing the stochastic Lyapunov function approach and Linear Matrix Inequality (LMI) technique, sufficient conditions are established to guarantee the closed-loop system to be stochastically stable in the domain of attraction. Furthermore, the domain of attraction of such MJSs is estimated by solving an optimization problem. Finally, the developed synthesis method is verified with an example.