SUBOPTIMIZATION OF SINGULARLY PERTURBED CONTROL-SYSTEMS

被引:88
作者
GAITSGORY, V
机构
[1] Bar-Ilan Univ, Ramat-Gan
关键词
SINGULAR PERTURBATIONS; OPTIMAL CONTROL; SUBOPTIMIZATION; ASYMPTOTIC PROPERTIES;
D O I
10.1137/0330065
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A technique different from the boundary layer method is developed to deal with singularly perturbed optimal control problems. The technique is applicable, in particular, in the case when the optimal control takes the form of "fast" oscillations and the boundary layer method cannot be used. Necessary and sufficient conditions for the optimal control to be "slow" are given. The results are illustrated by examples.
引用
收藏
页码:1228 / 1249
页数:22
相关论文
共 29 条
[1]  
[Anonymous], 1972, OPTIMAL CONTROL DIFF
[2]  
[Anonymous], 1962, USPEKHI MAT NAUK
[3]  
ARTSTEIN Z, 1979, SIAM J CONTROL OPTIM, V27, P940
[4]  
BAILEY JE, 1971, J OPTIM THEORY APPL, V7
[5]  
BENSOUSSAN AS, 1989, PERTRUBATION METHODS
[6]  
CIRLIN AM, 1976, VARIATIONAL METHODS
[7]  
Dmitriev M. G., 1978, Prikladnaya Matematika i Mekhanika, V42, P228
[8]  
DMITRIEV MG, 1971, DIFF URAVN, V2, P21
[9]  
Dontchev AL., 1983, PERTURBATIONS APPROX
[10]  
Filippov A. F., 1967, VESTNIK MOSKOV U 1, V22, P16