SYMPLECTIC ALGORITHM IN SOLVING OPTIMAL CONTROL PROBLEMS

被引：1

作者：

Zeng Jin(Dept. of Power Machinery Engineering)Sun Weirong

Zhou Gang(Dept. of Applied Mathematics)

机构：

来源：

Journal of Shanghai Jiaotong University(Science) | 1996年 / 02期

关键词：

Hamilton system; symplectic algorithm; optimal control;

D O I：

暂无

中图分类号：

TP13 [自动控制理论];

学科分类号：

0711 ; 071102 ; 0811 ; 081101 ; 081103 ;

摘要：

A symplectic algorithm is used to solve optimal control problems. Linear and nonlinear examples aregiven. Numerical analyses show that the symplectic algorithm gives satisfactory performance in that it works inlarge step and is of high speed and accuracy. This indicates that the symplectic algorithm is more effective andreasonable in solving optimal control problems.

引用

页码：21 / 24

页数：4

共 50 条

[1] A hybrid direction algorithm for solving optimal control problems
Zaitri, Mohamed Abdelaziz
Bibi, Mohand Ouamer
Bentobache, Mohand
[J]. COGENT MATHEMATICS & STATISTICS, 2019, 6
[2] GEOMETRICALLY CONVERGENT ALGORITHM FOR SOLVING OPTIMAL CONTROL PROBLEMS
BARNES, ER
[J]. SIAM JOURNAL ON CONTROL, 1972, 10 (03): : 434 - &
[3] A DECOMPOSITION ALGORITHM FOR SOLVING A CLASS OF OPTIMAL CONTROL PROBLEMS
MEYER, G
POLAK, E
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1970, 32 (01) : 118 - &
[4] A direct algorithm for solving singular LQ optimal control problems
Zhang, Pingjian
Xi, Jianqing
[J]. 2006 CHINESE CONTROL CONFERENCE, VOLS 1-5, 2006, : 1822 - +
[5] COMMENTS ON A DECOMPOSITION ALGORITHM FOR SOLVING A CLASS OF OPTIMAL CONTROL PROBLEMS
PECSVARA.T
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 41 (02) : 486 - 489
[6] A NEW COMPUTATIONAL ALGORITHM FOR SOLVING OPTIMAL-CONTROL PROBLEMS
NAGAHISA, Y
SAKAWA, Y
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1990, 11 (9-10) : 1019 - 1042
[7] LOCAL CONVERGENCE OF AN ALGORITHM FOR SOLVING OPTIMAL-CONTROL PROBLEMS
SHINDO, Y
SAKAWA, Y
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1985, 46 (03) : 265 - 293
[8] A Modified Hybrid Genetic Algorithm for Solving Nonlinear Optimal Control Problems
Nezhadhosein, Saeed
Heydari, Aghileh
Ghanbari, Reza
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
[9] An Interpolation Algorithm for Solving Optimal Control Problems Based on DPVS Approach
Tao, Zhen-Zhen
Sun, Bing
[J]. 2019 IEEE 15TH INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA), 2019, : 1063 - 1068
[10] A polynomial algorithm solving a special class of hybrid optimal control problems
Bauso, Dario
Pesenti, Raffaele
[J]. PROCEEDINGS OF THE 2006 IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS, VOLS 1-4, 2006, : 208 - +

← 1 2 3 4 5 →