北京大学学报(自然科学版)

控制器与对象同时摄动的鲁棒控制问题:多输入多输出系统

段志生, 黄琳, 王龙   

  1. 北京大学力学与工程科学系,系统与控制研究中心,北京,100871
  • 收稿日期:1999-10-18 出版日期:2000-09-20 发布日期:2000-09-20

Robust Analysis and Synthesis of MIMO Linear Systems Subject to Simultaneous Perturbations

DUAN Zhisheng, HUANG Lin, WANG Long   

  1. Dept. of Mechanics and Engineering Science, Center for Systems and Control, Peking University, Beijing, 100871
  • Received:1999-10-18 Online:2000-09-20 Published:2000-09-20

摘要: 研究了多输入多输出线性时不变系统中控制器与对象同时以加性未建模动态模式摄动的鲁棒控制问题,给出了基于线性矩阵不等式的控制器设计方法,而且把类似的方法用于传统的鲁棒性能问题得出了更好的充分条件。

关键词: 线性矩阵不等式, 范数有界摄动, 鲁棒品质

Abstract: Robust control problems of MIMO linear systems with both plant and controller subject to additive norm-bounded perturbations are studied, and LMI-based controller design method is given. The relation between the conditions of robust analysis and robust synthesis is also given. In addition, robust performance problem is considered again, a better sufficient condition is presented.

Key words: LMI, Norm-bounded, Robust performance

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