| 引用本文: | 熊军林, 张庆灵.结构不确定离散系统的最优非脆弱保成本控制[J].控制理论与应用,2004,21(2):279~282.[点击复制] |
| XIONG Jun-lin, ZHANG Qing-ling.Optimal non-fragile guaranteed cost control for linear discrete-time systems with structured uncertainty[J].Control Theory & Applications,2004,21(2):279~282.[点击复制] |
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| 结构不确定离散系统的最优非脆弱保成本控制 |
| Optimal non-fragile guaranteed cost control for linear discrete-time systems with structured uncertainty |
| 摘要点击 2000 全文点击 1455 投稿时间：2002-09-03 修订日期：2003-05-26 |
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| DOI编号 |
| 2004,21(2):279-282 |
| 中文关键词 线性离散系统 保成本控制 线性矩阵不等式 非脆弱的 |
| 英文关键词 linear discrete-time systems guaranteed cost control linear matrix inequalities non-fragile |
| 基金项目 辽宁省科技基金项目(2001401041); 辽宁省普通高校学科带头人基金项目(124210). |
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| 中文摘要 |
| 讨论了一类不确定线性离散系统的最优非脆弱保成本控制问题.考虑的系统和状态反馈控制器均具有时变的结构化的不确定性.基于线性矩阵不等式的方法,给出了存在和设计非脆弱保成本控制律的一个充分条件,以及在使二次成本函数上界最小意义下,最优非脆弱保成本控制律的凸优化设计方法.并用数值例子说明该方法降低了成本函数上界的保守性. |
| 英文摘要 |
| The problem of the optimal non-fragile guaranteed cost control for uncertain linear discrete-time systems is considered. Both the system and the state feedback controller under consideration are assumed to have the time - varying structured uncertainties. Based on the linear matrix inequality technology, a sufficient condition is established to guarantee the existence of the desired non - fragile controllers and can be used to design such controllers. Two convex optimization algorithms are also proposed to select the optimal non - fragile controller in the sense of minimizing the upper bound of the quadratic performance index. A numerical example is given to show that the conservation of the upper bound is reduced by using the developed approach. |