Finite-time H∞ static output control of Markov jump systems with an auxiliary approach

Mouquan Shen, Shen Yan, Guangming Zhang and Ju H. Park

Applied Mathematics and Computation, 2016, vol. 273, issue C, 553-561

Abstract: This paper considers the finite-time H∞ static output feedback control of Markov jump systems. With the help of introducing two new variables related to the original system state and output, sufficient conditions for the closed-loop system to be stochastic finite-time boundedness with the prescribed H∞ performance level are proposed in terms of linear matrix inequalities (LMIs). Meanwhile, the static output control gains are solved explicitly by the proposed conditions. It is shown that the proposed method is less or at least the same conservative than the existing result. Lastly, a numerical example is given to demonstrate the effectiveness of the proposed method.

Keywords: Markov jump systems; Finite-time stability; Static output feedback (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (20)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:273:y:2016:i:c:p:553-561

DOI: 10.1016/j.amc.2015.10.038

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