Abstract
This paper addresses the observer-based asynchronous control for Markov jump systems with nonlinear term, disturbance and time delay. Firstly, a mixed observer is proposed to estimate the state and disturbance. The estimated compensator has the ability to compensate the effect of disturbance. Secondly, an observer-based asynchronous controller is given, which handles asynchronous phenomenon of system mode and controller mode. By applying a complex Lyapunov functional, convex combination and Writinger inequality, some sufficient conditions are obtained to ensure that the original system with an H∞ performance and the error systems achieve asymptotic stability. Finally, three examples are provided to expound the consistency of the technique.
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