Delay‐dependent robust H∞ control for uncertain stochastic time‐delay systems
Delay‐dependent robust H∞ control for uncertain stochastic time‐delay systems
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DOI：
10.1002/rnc.1552
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发表时间：
2010-11
影响因子：
3.9
通讯作者：
Rongni Yang;Huijun Gao;P. Shi
中科院分区：
文献类型：
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作者：
Rongni Yang;Huijun Gao;P. Shi
研究了一类具有状态时滞的随机系统的鲁棒H∞控制问题。提出了状态反馈控制器存在的时滞依赖充分条件，以保证闭环系统的均方渐近稳定性和预定的H∞性能。此外，将所得结果进一步推广到具有参数不确定性的随机时滞系统，并假设其状态和输入矩阵均为时变范数有界.吸引人的想法是划分的延迟，这与大多数现有的结果有很大的不同，并通过细化延迟划分减少保守性。数值例子显示所提出的技术的优点。版权所有© 2009约翰威利父子有限公司。
This paper investigates the robust H∞ control problem for stochastic systems with a delay in the state. Sufficient delay‐dependent conditions for the existence of state‐feedback controllers are proposed to guarantee mean‐square asymptotic stability as well as the prescribed H∞ performance for the closed‐loop systems. Moreover, the results are further extended to the stochastic time‐delay systems with parameter uncertainties, which are assumed to be time‐varying norm‐bounded appearing in both the state and the input matrices. The appealing idea is to partition the delay, which differs greatly from the most existing results and reduces conservatism by thinning the delay partitioning. Numerical examples are provided to show the advantages of the proposed techniques. Copyright © 2009 John Wiley & Sons, Ltd.