A new approach for analysis and synthesis of time-varying systems

被引:122
作者
Dullerud, GE [1 ]
Lall, S
机构
[1] Univ Illinois, Dept Mech & Ind Engn, Urbana, IL 61801 USA
[2] CALTECH, Pasadena, CA 91125 USA
关键词
LMI; periodic systems; robust control; time variation;
D O I
10.1109/9.780413
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper new techniques are developed for the analysis of linear time-varying (LTV) systems, These lead to a formally simple treatment of robust control problems for LTV systems, allowing methods more usually restricted to time-invariant systems to be employed in the time-varying case. As an illustration of this methodology, the so-called H-infinity synthesis problem is solved for LTV systems.
引用
收藏
页码:1486 / 1497
页数:12
相关论文
共 21 条
[1]   INTERNAL AND EXTERNAL STABILITY OF LINEAR TIME-VARYING SYSTEMS [J].
ANDERSON, BDO .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1982, 20 (03) :408-413
[2]  
AUPETIT B, 1991, PRIMER SPECTRAL THEO
[3]  
BALL JA, 1992, OPERATOR THEORY ADV, V56, P1
[4]  
BOLLOBAS B, 1990, LINEAR ANAL
[5]  
BOYD S, 1989, INT J CONTROL, V49, P2215
[6]  
Boyd S, 1994, Linear Matrix Inequalities in System and Control Theory, V42, P434
[7]   ANALYSIS OF TIME-VARYING CONTROL STRATEGIES FOR OPTIMAL DISTURBANCE REJECTION AND ROBUSTNESS [J].
CHAPELLAT, H ;
DAHLEH, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (11) :1734-1745
[8]  
DULLERUD G. E., 1996, CONTROL UNCERTAIN SA
[9]   A LINEAR MATRIX INEQUALITY APPROACH TO H-INFINITY CONTROL [J].
GAHINET, P ;
APKARIAN, P .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1994, 4 (04) :421-448
[10]  
Halmos P. R., 1982, HILBERT SPACE PROBLE