H-INFINITY CONTROL OF NONLINEAR-SYSTEMS - A CONVEX CHARACTERIZATION

被引:107
作者
LU, WM [1 ]
DOYLE, JC [1 ]
机构
[1] CALTECH,DEPT ELECT ENGN CONTROL & DYNAM SYST,PASADENA,CA 91125
关键词
D O I
10.1109/9.412643
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The nonlinear H-infinity-control problem is considered with an emphasis on developing machinery with promising computational properties. The solutions to H-infinity-control problems for a class of nonlinear systems are characterized in terms of nonlinear matrix inequalities which result in convex problems. The computational implications for the characterizations are discussed.
引用
收藏
页码:1668 / 1675
页数:8
相关论文
共 25 条
[1]   H-INFINITY CONTROL FOR NONLINEAR-SYSTEMS WITH OUTPUT-FEEDBACK [J].
BALL, JA ;
HELTON, JW ;
WALKER, ML .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (04) :546-559
[2]  
BERGER M, 1963, PERSPECTIVE NONLINEA
[3]  
Boyd S., 1994, LINEAR MATRIX INEQUA, DOI [10.1137/2F1.9781611970777, DOI 10.1137/1.9781611970777]
[4]   NORM-PRESERVING DILATIONS AND THEIR APPLICATIONS TO OPTIMAL ERROR-BOUNDS [J].
DAVIS, C ;
KAHAN, WM ;
WEINBERGER, HF .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1982, 19 (03) :445-469
[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]   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
[7]   AN INEQUALITY GOVERNING NONLINEAR H-INFINITY CONTROL [J].
HELTON, JW ;
ZHAN, W .
SYSTEMS & CONTROL LETTERS, 1994, 22 (03) :157-165
[8]  
Horn R. A., 1986, MATRIX ANAL, DOI DOI 10.1017/CBO9781139020411
[9]  
HUANG J, IN PRESS J GUIDANCE
[10]   DISTURBANCE ATTENUATION AND H-INFINITY-CONTROL VIA MEASUREMENT FEEDBACK IN NONLINEAR-SYSTEMS [J].
ISIDORI, A ;
ASTOLFI, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (09) :1283-1293