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(英文)

被引:25
作者
俞立
机构
[1] 浙江工业大学信息工程学院!杭州
关键词
不确定系统; 保性能控制; 线性矩阵不等式(LMI);
D O I
暂无
中图分类号
TP271.7 [];
学科分类号
0711 ; 071102 ; 081103 ; 081104 ;
摘要
针对一类具有范数有界时变参数不确定性的线性系统和一个给定的二次型性能指标 ,研究了其最优保性能控制问题 .用一个线性矩阵不等式系统的可解性给出了存在保性能状态反馈控制律的条件 ,并且这个线性矩阵不等式系统的可行解提供了一组保性能控制律的一个参数化表示 .进而 ,保性能控制律的这一刻划被用来求解最优保成本控制问题 .
引用
收藏
页码:423 / 428
页数:6
相关论文
共 9 条
[1]  
A linear matrix inequality approach for guaranteed cost control Proc. Fishman A,Dion J M,Dugard L and Neto A T. 13th IFAC World Congress[C], San Francisco, USA . 1996
[2]  
Stabilization of uncertain systems via linear control. Barmish B R. IEEE Transactions on Automatic Control . 1983
[3]  
A stabilization algorithm for a class of uncertain systems. Petersen I R. Systems and Control Letters . 1987
[4]  
LinearMatrixInequalitiesinSystemandControlTheory[M]. BoydS ,,GhaouiLE,FeronE,BalakarishnanV. . 1 994
[5]  
Robust stability and performance via fixed-order dynamic compensation with guaranteed cost bounds. Bernstein D S and Haddad W M. Mathematics of Control Signals & Systems . 1990
[6]  
Robustreduced order,nonstrictlyproperstateestimationviatheoptimalprojectionequationswithguar anteedcostbounds. HaddadWMandBernsteinDS. IEEE Transactions on Automatic Control . 1988
[7]  
Robust stabilization of uncertain linear systems: quadratic stabilizability and H∞ control theory. Khargonekar P P,Petersen I R and Zhou K. IEEE Transactions on Automatic Control . 1990
[8]  
A game theoretic approach for guaranteed cost control. Kosmidou O I,Abou-Kandil H and Bertrand P. Proc. 1991 European Control Conference[C], Grenoble, France . 1991
[9]  
An LMI approach to guaranteed cost control of linear uncertain time-delay systems. Yu Li. Automatica . 1999