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基于LMI的Delta算子不确定系统的鲁棒D稳定性分析与控制

LMI-Based D-Stability Analysis and Control of Robust in Delta Operator Uncertain System

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【作者】 任俊超; 王向东; 胡刚;

【Author】 REN Jun-chao~1, WANG Xiang-dong~1, HU Gang~2(1. Mathematics Department, Foshan University, Foshan Guangdong 528000, China; 2. Faculty of Automation, Guangdong University of Technology, Guangzhou 510090, China)

【机构】 佛山科学技术学院数学系; 广东工业大学自动化学院 广东佛山528000; 广东佛山528000; 广东广州510090;

【摘要】 研究在圆形区域极点约束下的Delta算子不确定系统的鲁棒稳定性和鲁棒控制问题.运用线性矩阵不等式,给出了Delta算子系统在区域极点约束下具有鲁棒稳定性的充要条件,在此基础上,得到了Delta算子系统状态反馈控制器存在的充要条件和解析表达式.所得结果将连续与离散系统的有关结果统一到Delta算子框架中.

【Abstract】 The focus of this paper is on stability analysis and control of robust in delta operator uncertain system which is restricted by pole assignment in a circular region. A necessary and sufficient condition of robust D-stability is presented using linear matrix inequalities. Based on which, a necessary and sufficient condition for the existence of controllers is derived and the analytic expression of expected controllers is proposed .The proposed method unifies some previous related results of continuous and discrete systems into the delta frame.

  • 【文献出处】 昆明理工大学学报(理工版) ,Journal of Kunming University of Science and Technology , 编辑部邮箱 ,2005年03期
  • 【分类号】TP13
  • 【被引频次】6
  • 【下载频次】107
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