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线性不确定系统的最优保性能控制--线性矩阵不等式处理方法

俞立

控制理论与应用2000,Vol.17Issue(3):423-428,6.
控制理论与应用2000,Vol.17Issue(3):423-428,6.

线性不确定系统的最优保性能控制--线性矩阵不等式处理方法

Optimal Guaranteed Cost Control of Linear Uncertain System: an LMI Approach

俞立1

作者信息

  • 1. 浙江工业大学信息工程学院,杭州,310032
  • 折叠

摘要

Abstract

The guaranteed cost control problem for a class of linear systems with norm-bounded time-varying parameter uncertainty and a given quadratic cost function is considered. A sufficient condition for the existence of guaranteed cost state feedback controllers is presented in terms of the solvability to a certain system of linear matrix inequalities (LMIs), and the feasible solutions to the system of LMIs provide a parametrized representation of a set of guaranteed cost controllers. Furthermore, the characterization of guaranteed cost controllers is exploited to solve the optimal guaranteed cost control problem.

关键词

不确定系统/保性能控制/线性矩阵不等式(LMI)

Key words

uncertain systems/guaranteed cost control/LMI

分类

信息技术与安全科学

引用本文复制引用

俞立..线性不确定系统的最优保性能控制--线性矩阵不等式处理方法[J].控制理论与应用,2000,17(3):423-428,6.

基金项目

supported by the nationaal Natural Seience Foundation of China(69974036)and the Zhejiang Provincial Natural Seience Foundation. (69974036)

控制理论与应用

OA北大核心CSCDCSTPCD

1000-8152

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