| 引用本文: | 张先明, 吴敏.线性多时滞不确定离散时间线性系统的时滞相关H∞控制[J].控制理论与应用,2006,23(6):918~922.[点击复制] |
| ZHANG Xian-ming, WU Min.Delay-dependent H-infinity control for linear discrete-time uncertain systems with multiple unknown delays[J].Control Theory & Applications,2006,23(6):918~922.[点击复制] |
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| 线性多时滞不确定离散时间线性系统的时滞相关H∞控制 |
| Delay-dependent H-infinity control for linear discrete-time uncertain systems with multiple unknown delays |
| 摘要点击 1859 全文点击 1463 投稿时间：2004-08-27 修订日期：2006-02-27 |
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| DOI编号 |
| 2006,23(6):918-922 |
| 中文关键词 离散时间线性系统 时滞相关 H∞控制 线性矩阵不等式 |
| 英文关键词 discrete-time linear system delay-dependent H-infinity control linear matrix inequality |
| 基金项目 国家博士点基金资助项目(20050533015); 国家杰出青年科学基金资助项目(60425310); 国家自然科学基金资助项目(60574014). |
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| 中文摘要 |
| 讨论了线性多时滞不确定离散时间线性系统的时滞相关H∞控制问题. 首先, 建立了一个基于二次型项的有限和不等式. 然后, 利用这一不等式, 采用Lyapunov-Krasovskii泛函方法, 获得了系统不仅内部稳定而且具有给定的H∞性能的时滞相关条件, 同时以LMI的形式给出了无记忆H∞控制器的设计方法. 最后, 数值例子说明了本文方法的有效性. |
| 英文摘要 |
| The delay-dependent H-infinity control of linear discrete-time uncertain systems with unknown delays is discussed via memoryless state feedback. Firstly, an inequality for finite sums of quadratic terms is established. Based on a linear matrix inequality (LMI), a new delay-dependent condition is then derived by employing Lyapunov-Krasovskii functional method, which can ensure that the resulting closed-loop system is asymptotically stable with a prescribed Hinfinity performance. Moreover, the suitable H-infinity controller is designed in light of the feasibility of the obtained LMI. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach. |