Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay
Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay
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DOI：
10.1109/9.802932
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发表时间：
1999-11
期刊：
影响因子：
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通讯作者：
P. Shi;E. Boukas;R. Agarwal
中科院分区：
文献类型：
--
作者：
P. Shi;E. Boukas;R. Agarwal
研究了具有马尔可夫跳变参数的离散时滞线性系统的控制问题。所考虑的系统同时具有时变的范数有界参数不确定性和未知的状态时滞，以及所有系统矩阵中的马尔可夫跳变参数。我们解决的问题，鲁棒状态反馈控制中，鲁棒随机稳定性和一个指定的H/sub /spl infin//性能都需要实现，而不管的不确定性和时滞。证明了当一组耦合线性矩阵不等式有解时，上述问题可解。
This paper studies the problem of control for discrete time delay linear systems with Markovian jump parameters. The system under consideration is subjected to both time-varying norm-bounded parameter uncertainty and unknown time delay in the state, and Markovian jump parameters in all system matrices. We address the problem of robust state feedback control in which both robust stochastic stability and a prescribed H/sub /spl infin// performance are required to be achieved irrespective of the uncertainty and time delay. It is shown that the above problem can be solved if a set of coupled linear matrix inequalities has a solution.