Robust H∞ control for uncertain singular systems with state delay
Robust H∞ control for uncertain singular systems with state delay
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DOI：
10.1002/rnc.837
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发表时间：
2003-11
影响因子：
3.9
通讯作者：
Shengyuan Xu;J. Lam;Chengwu Yang
中科院分区：
文献类型：
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作者：
Shengyuan Xu;J. Lam;Chengwu Yang
研究具有状态时滞的不确定连续广义系统的鲁棒H-∞控制问题。所考虑的广义系统包含状态时滞和时不变范数有界不确定性。基于线性矩阵不等式方法，设计了一种无记忆状态反馈控制律，对于所有允许的不确定性，所得到的闭环系统不仅是正则的、无脉冲的和稳定的，而且满足干扰抑制的H-∞范数界约束。最后给出了一个数值算例，验证了该方法的适用性。版权所有©2003 John Wiley&Sons，Ltd.
This paper addresses the problem of robust H∞ control for uncertain continuous singular systems with state delay. The singular system under consideration involves state time delay and time‐invariant norm‐bounded uncertainty. Based on the linear matrix inequality (LMI) approach, we design a memoryless state feedback controller law, which guarantees that, for all admissible uncertainties, the resulting closed‐loop system is not only regular, impulse free and stable, but also meets an H∞‐norm bound constraint on disturbance attenuation. A numerical example is provided to demonstrate the applicability of the proposed method. Copyright © 2003 John Wiley & Sons, Ltd.