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
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)