Observer-based asynchronous control for Markov jump systems

Peng Yu and Yuechao Ma

Applied Mathematics and Computation, 2020, vol. 377, issue C

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.

Keywords: Observer; Asynchronous control; Disturbance; Markov jump (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:377:y:2020:i:c:s0096300320301533

DOI: 10.1016/j.amc.2020.125184

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