Asynchronous H∞ control of semi-Markov jump linear systems

Zhaowen Xu, Hongye Su, Peng Shi and Zheng-Guang Wu

Applied Mathematics and Computation, 2019, vol. 349, issue C, 270-280

Abstract: This paper addresses the asynchronous H∞ control problem for a class of continuous-time semi-Markov jump linear systems. Under the assumption that the system mode is not accessible, we introduce a discrete-state and continuous-time process which is related to the system mode by a conditional probability as a switching signal of the controller. By constructing a semi-Markov-based Lyapunov funcational, a sufficient condition to ensure the stability of the system with a prescribed H∞ performance is established. In addition, an equivalent statement is derived by introducing a slack variable, and the asynchronous controller is designed. Two examples are presented to illustrate the effectiveness of the proposed new design method.

Keywords: Asynchronous controller; Jump linear systems; Semi-Markov process (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:349:y:2019:i:c:p:270-280

DOI: 10.1016/j.amc.2018.12.010

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