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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)
Abstract: In this paper, the problem of low-order l1-control for systems with time-delay is studied. The sufficient condition of the solvability of state-feedback l1-control and output-feedback l1-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 l1-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/x-norm. Although the l1-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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