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摘要: 讨论不确定广义时滞系统的时滞依赖鲁棒H∞控制问题. 基于线性矩阵不等式(LMI)方法, 设计状态反馈控制器使得对所有允许的不确定性, 所得的闭环系统均是正则、无脉冲、稳定且满足H∞范数有界约束. 所有的结论都是时滞依赖的且由不涉及系统矩阵分解的严格LMI表示. 数值例子表明所给的方法与已有的结论相比具有较小的保守性.
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关键词:
- 广义时滞系统 /
- 时滞依赖 /
- 鲁棒H∞控制 /
- 线性矩阵不等式(LMI)
Abstract: This paper discusses the problem of delay-dependent robust H∞ control for uncertain singular systems with state delay. Based on linear matrix inequality (LMI) approach, we design a state feedback controller, which guarantees that, for all admissible uncertainties, the resultant closed-loop system is regular, impulse free, and stable with an H∞ norm bound constraint. All the obtained results are delay-dependent and formulated by strict LMI involving no decomposition of the system matrices. Numerical examples show that the proposed methods are less conservative than existing ones.
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