ROBUST STABILIZATION OF UNCERTAIN LINEAR-SYSTEMS - QUADRATIC STABILIZABILITY AND H INFINITY-CONTROL THEORY

被引:1081
作者
KHARGONEKAR, PP
PETERSEN, IR
ZHOU, KM
机构
[1] UNIV MINNESOTA,CTR CONTROL SCI & DYNAM SYST,MINNEAPOLIS,MN 55455
[2] UNIV MINNESOTA,DEPT ELECT ENGN,MINNEAPOLIS,MN 55455
[3] UNIV COLL NEW S WALES,AUSTRALIAN DEF FORCE ACAD,DEPT ELECT ENGN,CANBERRA,ACT 2600,AUSTRALIA
[4] CALTECH,DEPT ELECT ENGN,PASADENA,CA 91125
关键词
D O I
10.1109/9.50357
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper is focused on the problem of robustly stabilizing a linear uncertain system. A complete solution to a certain quadratic stabilization problem in which uncertainty enters both the state and the input matrices of the system is given. Relations between these robust stabilization problems and Hoc control theory are explored. It is also shown that in a number of cases, if a robust stabilization problem can be solved via Lyapunov methods, then it can also be solved via Hcc control theory-based methods. © 1990 IEEE
引用
收藏
页码:356 / 361
页数:6
相关论文
共 22 条
[1]  
Barmish B. R., 1987, Proceedings of the 1987 American Control Conference, P476
[3]   STABILIZATION OF UNCERTAIN SYSTEMS VIA LINEAR-CONTROL [J].
BARMISH, BR .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1983, 28 (08) :848-850
[4]   LQG CONTROL WITH AN H-INFINITY PERFORMANCE BOUND - A RICCATI EQUATION APPROACH [J].
BERNSTEIN, DS ;
HADDAD, WM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (03) :293-305
[5]   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
[6]  
FRANCIS BA, 1987, COURSE H CONTROL THE
[7]   THE CONSTRAINED LYAPUNOV PROBLEM AND ITS APPLICATION TO ROBUST OUTPUT-FEEDBACK STABILIZATION [J].
GALIMIDI, AR ;
BARMISH, BR .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1986, 31 (05) :410-419
[8]   H-INFINITY-OPTIMAL CONTROL WITH STATE-FEEDBACK [J].
KHARGONEKAR, PP ;
PETERSEN, IR ;
ROTEA, MA .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (08) :786-788
[9]  
KHARGONEKAR PP, 1987, 26TH P ALL C COMM CO, P88
[10]   ROBUST STABILIZABILITY FOR A CLASS OF TRANSFER-FUNCTIONS [J].
KIMURA, H .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1984, 29 (09) :788-793