Robust controller design for uncertain linear systems with circular pole constraints
Robust controller design for uncertain linear systems with circular pole constraints
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DOI：
10.1080/00207179608921737
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发表时间：
1996-12
影响因子：
2.1
通讯作者：
Wang Zidong;Tang Guoqing;C. Xuemin
中科院分区：
文献类型：
--
作者：
Wang Zidong;Tang Guoqing;C. Xuemin
本文研究了具有圆形极点约束的不确定线性连续和离散系统的鲁棒控制器设计问题。我们解决的问题是鲁棒状态反馈控制器的设计，使得闭环系统的所有极点都被放置在一个指定的圆形区域。基于广义逆理论，给出了期望控制器存在的充分条件。给出了所需控制器的解析表达式。它强调，当不存在的不确定性，结果包括所有的状态反馈控制器实现指定的圆极点约束的表征。一个说明性的例子来显示所提出的设计方法的适用性。1996年2月7日接受最后修订本。由H教授主持。木村
In this paper, the problem of robust controller design for uncertain linear continuous-and discrete-time systems with circular pole constraints is considered. The problem we address is the design of robust state feedback controllers such that all poles of the closed-loop systems are placed within a prescribed circular region. Sufficient conditions for the existence of the desired controllers are given based on the generalized inverse theory. The analytical expression of the set of desired controllers is also presented. It is emphasized that, when the uncertainties are absent, the results include the characterization of all state-feedback controllers achieving the specified circular pole constraints. An illustrative example is given to show the applicability of the proposed design procedure. Accepted in final revised form 7 February 1996. Communicated by Professor H. Kimura.