Robust ℋ∞ tracking control for uncertain Markovian jumping systems with interval time-varying delay
Robust ℋ∞ tracking control for uncertain Markovian jumping systems with interval time-varying delay
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DOI：
10.1002/cplx.21610
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发表时间：
2015-11
期刊：
影响因子：
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通讯作者：
Jianwei Xia;Ju H. Park;Baoyong Zhang;Hao Shen
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文献类型：
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作者：
Jianwei Xia;Ju H. Park;Baoyong Zhang;Hao Shen
研究了一类具有区间时变时滞的不确定马尔可夫跳变系统的鲁棒H∞跟踪控制问题。基于一个带三重积分项的增广Lyapunov-Krasovskii泛函，通过对时滞下界的分割和凸性分析，得到了时滞相关的期望控制器存在的条件.同时，本文也给出了时滞马尔可夫跳变系统的稳定性判据，该判据具有较低的保守性和较少的矩阵变量。最后，通过两个仿真实例验证了该设计方法的有效性.© 2014 Wiley Periodicals，Inc.复杂性21：355-366，2015
In this article, the problem of robust H∞ 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