THE STATE-FEEDBACK H(INFINITY)-PROBLEM AT OPTIMALITY

被引：10
作者：
SCHERER, CW
机构：
[1] Delft University of Technology, Faculty of Mechanical Engineering and Marine Technology, Laboratory for Measurement and Control, 2628 CD Delft
来源：
AUTOMATICA | 1994年 / 30卷 / 02期
关键词：
STATE-FEEDBACK; ROBUST CONTROL; NONMINIMUM-PHASED SYSTEMS; SINGULAR CONTROL; NONLINEAR EQUATIONS; DISTURBANCE REJECTION;
D O I：
10.1016/0005-1098(94)90031-0
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We discuss the infinite horizon H(infinity)-control problem by state-feedback for a linear time invariant plant which is not restricted with respect to its finite or infinite zero structure. We provide an algebraic characterization for the optimal value to be attained in terms of the solvability of a nonstrict Riccati inequality and propose possibilities for verifying these criteria. If the optimum is not achieved we give a complete test for the need of high-gain feedback in order to approach the optimal value.
引用
收藏
页码：293 / 305
页数：13
相关论文
共 27 条
[1]   A 9-FOLD CANONICAL DECOMPOSITION FOR LINEAR-SYSTEMS [J].
ALING, H ;
SCHUMACHER, JM .
INTERNATIONAL JOURNAL OF CONTROL, 1984, 39 (04) :779-805
[2]  
Anderson B. D. O., 1973, NETWORK ANAL SYNTHES
[3]  
ANDO T, 1988, LECTURE NOTES HOKKAI
[4]   STATE-SPACE SOLUTIONS TO STANDARD H-2 AND H-INFINITY CONTROL-PROBLEMS [J].
DOYLE, JC ;
GLOVER, K ;
KHARGONEKAR, PP ;
FRANCIS, BA .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (08) :831-847
[5]   A CHARACTERIZATION OF ALL SOLUTIONS TO THE 4 BLOCK GENERAL DISTANCE PROBLEM [J].
GLOVER, K ;
LIMEBEER, DJN ;
DOYLE, JC ;
KASENALLY, EM ;
SAFONOV, MG .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1991, 29 (02) :283-324
[6]  
GLOVER K, 1989, LECTURE NOTES CONTRO, V135
[7]   ON HERMITIAN SOLUTIONS OF THE SYMMETRICAL ALGEBRAIC RICCATI EQUATION [J].
GOHBERG, I ;
LANCASTER, P ;
RODMAN, L .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1986, 24 (06) :1323-1334
[8]   ROBUST STABILIZATION OF UNCERTAIN LINEAR-SYSTEMS - QUADRATIC STABILIZABILITY AND H INFINITY-CONTROL THEORY [J].
KHARGONEKAR, PP ;
PETERSEN, IR ;
ZHOU, KM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (03) :356-361
[9]   H-INFINITY-OPTIMAL CONTROL WITH STATE-FEEDBACK [J].
KHARGONEKAR, PP ;
PETERSEN, IR ;
ROTEA, MA .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (08) :786-788
[10]   STRUCTURAL INVARIANTS OF LINEAR MULTIVARIABLE SYSTEMS [J].
MORSE, AS .
SIAM JOURNAL ON CONTROL, 1973, 11 (03) :446-465
123