Optimal control of nonlinear systems: A recursive approach

被引：21

作者：

Chanane, B ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1998年 / 35卷 / 03期

关键词：

nonlinear systems; optimal control; Adomian's decomposition;

D O I：

10.1016/S0898-1221(97)00276-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we shall generalize our result [1] on the optimal control of bilinear systems to nonlinear systems. Adomian's decomposition is used to derive series expansions of the optimal control and state.

引用

页码：29 / 33

页数：5

共 10 条

[1] A GENERAL-APPROACH FOR COMPLEX-SYSTEMS
ADOMIAN, G
[J]. KYBERNETES, 1988, 17 (01) : 49 - 59
[2] BANKS SP, 1985, SYST CONTROL LETT, V6, P337
[3] Bryson A. E., 1975, APPL OPTIMAL CONTROL
[4] CEBUHAR WA, 1984, J OPTIM THEORY APPL, V43
[5] CHANANE B, IN PRESS OPTIM CONTR
[6] CONVERGENCE OF ADOMIAN METHOD
CHERRUAULT, Y
[J]. KYBERNETES, 1989, 18 (02) : 31 - 38
[7] DIFFERENTIAL DYNAMIC-PROGRAMMING TECHNIQUE FOR OPTIMAL-CONTROL
LIN, TC
ARORA, JS
[J]. OPTIMAL CONTROL APPLICATIONS & METHODS, 1994, 15 (02) : 77 - 100
[8] OPTIMAL REGULATION OF NONLINEAR DYNAMICAL SYSTEMS
LUKES, DL
[J]. SIAM JOURNAL ON CONTROL, 1969, 7 (01): : 75 - &
[9] SUBOPTIMAL CONTROL OF NON-LINEAR SYSTEMS
NAIR, GG
[J]. AUTOMATICA, 1978, 14 (05) : 517 - 519
[10] OPTIMAL REGULATION OF NONLINEAR DYNAMICAL-SYSTEMS ON A FINITE INTERVAL
WILLEMSTEIN, AP
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1977, 15 (06) : 1050 - 1069

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