APPROXIMATED SOLUTIONS TO NONLINEAR DISCRETE-TIME H-INFINITY-CONTROL

被引：14

作者：

GUILLARD, H ^{[1
]}

MONACO, S ^{[1
]}

NORMANDCYROT, D ^{[1
]}

机构：

[1] UNIV ROMA LA SAPIENZA,DIPARTIMENTO INFORMAT & SISTEMIST,I-00184 ROME,ITALY

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1995年 / 40卷 / 12期

关键词：

D O I：

10.1109/9.478342

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

It is shown that there exists an analytic solution to the discrete Hamilton-Jacobi equation arising in the nonlinear discrete-time H-infinity-control problem if and only if the H-infinity-control problem associated to the linear approximated system is solvable. Starting from the solution of the Riccati equation associated to this linear problem, we show that the nonlinear solution can be computed at any desired degree of approximation, On this basis the control solution can be computed iteratively.

引用

页码：2143 / 2148

页数：6

共 17 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]

Basar T., 1990, H INFINITY OPTIMAL C

[3]

BYRNES CI, 1993, H INFINITY CONTROL D

[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]

GUILLARD H, 1995, NECESSARY SUFFICIENT

[6]

GUILLARD H, 1994, 33RD P IEEE C DEC CO, P1406

[7]

GUILLARD H, 1993, IN PRESS INT J ROBUS

[8]

GUILLARD H, 1993, 32ND P C DEC CONTR, P178

[9]

IGLESIAS PA, 1991, INT J CONTROL, V5, P1031

[10] H-INFINITY CONTROL VIA MEASUREMENT FEEDBACK FOR GENERAL NONLINEAR-SYSTEMS [J].

ISIDORI, A ;

KANG, W .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (03) :466-472

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