| 引用本文: | 王惠姣,王建中,葛 铭,薛安克,鲁仁全.不确定离散奇异系统的时滞依赖鲁棒H∞控制[J].控制理论与应用,2008,25(6):1145~1150.[点击复制] |
| WANG Hui-jiao,WANG Jian-zhong,GE Ming,XUE An-ke,LU Ren-quan.Delay-dependent robust H-infinity control for uncertain discrete singular systems[J].Control Theory and Technology,2008,25(6):1145~1150.[点击复制] |
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| 不确定离散奇异系统的时滞依赖鲁棒H∞控制 |
| Delay-dependent robust H-infinity control for uncertain discrete singular systems |
| 摘要点击 1321 全文点击 1162 投稿时间：2006-11-13 修订日期：2007-05-09 |
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| DOI编号 |
| 2008,25(6):1145-1150 |
| 中文关键词 离散奇异系统 时滞依赖 时变时滞 有限和不等式 不确定 线性矩阵不等式(LMI) |
| 英文关键词 discrete singular system delay-dependent time-varying delay finite sum inequality uncertainty LMI |
| 基金项目 国家自然科学基金重点资助项目(60434020); 国家自然科学基金资助项目(60604003). |
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| 中文摘要 |
| 针对一类具时变时滞的范数有界不确定离散奇异系统, 本文研究其鲁棒H∞控制问题. 通过建立基于二次型的有限和不等式, 避免了模型变换和界定交叉项, 得出一个新的时滞依赖有界实引理, 并表示为严格线性矩阵不等式, 同时给出了状态反馈控制器设计算法, 保证对应的闭环系统对所有容许的不确定性是正则, 因果, 稳定且具给定的干扰衰减度. 最后, 数值例子证明了本文所给方法的有效性. |
| 英文摘要 |
| The delay-dependent robust H-infinity control for uncertain discrete singular systems with time-varying delay is addressed. The uncertainty is assumed to be norm bounded. By establishing a finite sum inequality based on quadratic terms, which avoids using both model transformation and bounding technique for cross terms, we derive a new delay-dependent bounded real lemma in terms of linear matrix inequality(LMI). A suitable robust H-infinity state feedback control law is then presented, which guarantees the resultant closed-loop system to be regular, causal and stable with given disturbance attenuation level γ for all admissible uncertainties. A numerical example is given to demonstrate the applicability of the proposed method. |
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