Delay-Dependent H∞ Control of Uncertain Discrete Delay Systems
Delay-Dependent H∞ Control of Uncertain Discrete Delay Systems
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DOI：
10.3166/ejc.11.29-37
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
E. Fridman;U. Shaked
中科院分区：
文献类型：
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作者：
E. Fridman;U. Shaked
给出了具有未知常量或时变时滞以及多面体或范数有界不确定性的线性离散时间系统的状态反馈 H ∞ 控制的时滞相关解。通过系统的描述符表示，获得了稳定性和实现基于 Lyapunov-Krasovskii 泛函的设计规范的充分条件。与相应的连续时间结果类似，这些条件为分析和合成具有时滞的线性系统提供了有效的工具。通过一个简单的例子证明了新方法的优点。
A delay-dependent solution is given for state-feedback H ∞ control of linear discrete-time systems with unknown constant or time-varying delays and with polytopic or norm-bounded uncertainties. Sufficient conditions are obtained for stability and for achieving design specifications which are based on Lyapunov– Krasovskii functionals via a descriptor representation of the system. Similarly to the corresponding continuous-time results these conditions provide an efficient tool for analysis and synthesis of linear systems with time delay. The advantage of the new approach is demonstrated via a simple example.