Robust ℋ∞ tracking control for uncertain Markovian jumping systems with interval time‐varying delay |
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| Authors: | Jianwei Xia Ju H Park Baoyong Zhang Hao Shen |
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| Institution: | 1. School of Mathematics Science, Liaocheng University, Shandong, China;2. Department of Electrical Engineering, Yeungnam University, Kyongsan, Republic of Korea;3. School of Automation, Nanjing University of Science and Technology, Nanjing, China;4. School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan, China |
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| Abstract: | In this article, the problem of robust  tracking control for a class of uncertain Markovian jump systems with interval time‐varying delay is investigated. Based on an augmented Lyapunov–Krasovskii functional with triple integral term, partitioning the delay's lower bound and reciprocally convex approach, delay‐dependent conditions for the existence of desired controller are achieved. Meanwhile, stability criteria for delayed Markovian jump systems are also provided with less conservativeness and less matrix variables than some recent results. Finally, two simulation examples are given to illustrate the effectiveness of the proposed design method. © 2014 Wiley Periodicals, Inc. Complexity 21: 355–366, 2015 |
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| Keywords: | Markovian jump systems
tracking control robust control time delays |
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