| 引用本文: | 程储旺 ， 宋执环， 孙优贤.不确定性时滞系统的鲁棒镇定控制器设计——LMI 方法*[J].控制理论与应用,1999,16(5):655~658.[点击复制] |
| Cheng Chuwang, Song Zhihuan and Sun Youxian.Designing of the Robust Stabilizing Controller for Uncertain Delay Systems——LMI Approach[J].Control Theory and Technology,1999,16(5):655~658.[点击复制] |
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| 不确定性时滞系统的鲁棒镇定控制器设计——LMI 方法* |
| Designing of the Robust Stabilizing Controller for Uncertain Delay Systems——LMI Approach |
| 摘要点击 1026 全文点击 525 投稿时间：1997-03-12 修订日期：1998-08-17 |
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| DOI编号 |
| 1999,16(5):655-658 |
| 中文关键词 时变时滞 不确定性系统 线性矩阵不等式 李雅普诺夫函数 |
| 英文关键词 uncertain dynamic systems time-varying delay linear matrix inequality Lyapunov function |
| 基金项目 |
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| 中文摘要 |
| 采用线性矩阵不等式方法，研究一类不确定性动态系统，这类系统具有多重时变状态时滞和多重时变控制输入时滞，其不确定性满足范数有界条件.我们得到了一类不确定性时滞系统可状态反馈镇定的充分条件.通过解几个特定线性矩阵不等式，即可得到镇定已知系统的控制器.最后通过一个例子说明了本文方法的有效性和较黎卡提方程方法的优越性. |
| 英文摘要 |
| Using linear matrix inequality approach, this paper deals with a class of uncertain dynamic systems. The class of systems under consideration is described by a continuous-time uncertain model with multiple time-varying delays in both states and controls. The uncertainties are unknown but norm-bounded. A suffcient condition for a class of uncertain delay system to de stabilizable is obtained. It is shown that the construction of the stabilizing controller involves solving sevral linear matrix in-equalities. Finally, an example is given both to illustrate the proposed approach’s effectiveness and to show the proposed approach’s advantages over Riccati equation approach. |