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| 不确定奇异时滞系统的时滞相关型鲁棒H∞弹性控制 | |
| 引用本文： | 朱淑倩,张承慧,李振波,程兆林. 不确定奇异时滞系统的时滞相关型鲁棒H∞弹性控制[J]. 控制理论与应用, 2007, 24(4): 587-593 |
| 作者姓名： | 朱淑倩 张承慧 李振波 程兆林 |
| 作者单位： | 1. 山东大学,数学与系统科学学院,山东,济南,250100;山东大学,计算机科学与技术学院,山东,济南,250061 2. 山东大学,控制科学与工程学院,山东,济南,250061 3. 山东经济学院,统计与数学学院,山东,济南,250014 4. 山东大学,数学与系统科学学院,山东,济南,250100 |
| 基金项目： | 国家自然科学基金(50477042)． |
| 摘 要： | 研究了含范数有界参数不确定性的奇异时滞系统的时滞相关型鲁棒H_∞弹性控制问题.文中所考虑的控制器增益摄动包括加性摄动和乘性摄动两种形式.在标称奇异时滞系统的时滞相关型稳定性判据的基础上,引入了一个新的时滞相关型有界实引理(BRL),进而给出了时滞相关型鲁棒H_∞弹性控制器存在的充分性条件,并利用LMIs和锥补线性化算法给出了控制器的表达式.从数值算例可以看出,所给出的设计算法是有效的. |
| 关 键 词： | 奇异时滞系统 鲁棒H_∞弹性控制 时滞相关型判据 线性矩阵不等式(LMI) 锥补线性化算法 |
| 文章编号： | 1000-8152（2007）04-0587-07 |
| 收稿时间： | 2006-01-05 |
| 修稿时间： | 2006-01-052006-11-10 |
Delay-dependent robust resilient H-infinity control for uncertain singular time-delay systems |
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| ZHU Shu-qian,ZHANG Cheng-hui,LI Zhen-bo,CHENG Zhao-lin. Delay-dependent robust resilient H-infinity control for uncertain singular time-delay systems[J]. Control Theory & Applications, 2007, 24(4): 587-593 | |
| Authors: | ZHU Shu-qian ZHANG Cheng-hui LI Zhen-bo CHENG Zhao-lin |
| Affiliation: | School of Mathematics and System Sciences, Shandong University, Jinan Shandong 250100, China;School of Computer Science and Technology, Shandong University, Jinan Shandong 250061, China;School of Control Science and Engineering, Shandong University, Jinan |
| Abstract: | The delay-dependent robust resilient H-infinity control for singular time-delay systems with norm-bounded parameter uncertainty is investigated in this paper.The considered resilient controller is related to additive and multi- plicative controller gain variations.First,based on the delay-dependent stability criterion for nominal singular time-delay systems,a new delay-dependent bounded real lemma(BRL)is established.Then the sufficient conditions for the existence of the robust resilient H-infinity controller are presented.Moreover,the explicit expression for the desired controller is deigned by using the linear matrix inequalities(LMIs)and the cone complementarity linearization algorithm.Finally,a numerical example is presented to illustrate the effectiveness of the proposed method. |
| Keywords: | singular time-delay systems robust resilient H-infinity control delay-dependent criteria linear matrix inequality(LMI) cone complementarity linearization algorithm |
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