| 时滞系统的一种低阶l_1-控制 |
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| 引用本文： | 刘允刚,施颂椒,潘子刚,秦滨. 时滞系统的一种低阶l_1-控制[J]. 自动化学报, 2001, 0(6) |
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| 作者姓名： | 刘允刚 施颂椒 潘子刚 秦滨 |
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| 作者单位： | 中国科学院数学与系统科学研究院 北京100080(刘允刚)，上海交通大学自动化系 上海200030(施颂椒)，辛辛那提大学电子和计算机工程及计算机科学系 美国(潘子刚)，上海交通大学自动化系 上海200030(秦滨) |
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| 摘 要： | 研究了离散时滞系统的一种低阶 l1-控制问题 .得到了系统可实现状态反馈及输出反馈 l1-控制的充分条件 ,并将其转化为线性矩阵不等式 (LMI)形式 ,给出了 l1-控制的显式表达形式 .文中的处理不是转化为无穷维受限优化问题 ,而是优化 l1-范数的一上界 .尽管得到的是次优 l1-控制律 ,但由于它具有确定的结构 ,故分析和设计过程十分简单
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| 关 键 词： | 时滞系统 低阶l1-控制 Riccati不等式方程 线性矩阵不等式(LMI) |
LOW0ORDER l_1-CONTROL FOR SYSTEMS WITH TIME-DELAY |
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| LIU Yun Gang SHI Song Jiao PAN Zi Gang QIN Bin. LOW0ORDER l_1-CONTROL FOR SYSTEMS WITH TIME-DELAY[J]. Acta Automatica Sinica, 2001, 0(6) |
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| Authors: | LIU Yun Gang SHI Song Jiao PAN Zi Gang QIN Bin |
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| Affiliation: | LIU Yun Gang 1 SHI Song Jiao 2 PAN Zi Gang 3 QIN Bin 2 1 |
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| Abstract: | In this paper, the problem of low order l 1 control for systems with time delay is studied. The sufficient condition of the solvability of state feedback l 1 control and output feedback l 1 control of the time delay systems is obtained, and the condition is also transformed into the form of linear matrix inequality(LMI). This paper gives the forms of the solution of l 1 controllers. In this paper, the treatment does not translate the problem into the infinite dimensional constrained optimal problem, but optimizes one upper bound of the induced l 1 norm. Although the l 1 controller of this paper is not optimal, it has fixed structure and the process of analyzing and designing is much simple. |
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| Keywords: | Time delay systems low order l 1 control Riccati inequality linear matrix inequality(LMI). |
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