Solution of optimal control problems with time-delay

被引：0

作者：

Razzaghi, Mohsen ^{[1
]}

机构：

[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

来源：

IIT: 2008 INTERNATIONAL CONFERENCE ON INNOVATIONS IN INFORMATION TECHNOLOGY | 2008年

关键词：

D O I：

暂无

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

A method for finding the optimal control of a linear time varying delay system with quadratic performance index is discussed. The properties of the hybrid functions which consists of block-pulse functions plus Taylor series are presented. The operational matrices of integration, delay and product are utilized to reduce the solution of optimal control to the solution of algebraic equations. An illustrative example is included to demonstrate the validity and applicability of the technique.

引用

页码：101 / 104

页数：4

共 50 条

[1] THE SENSITIVITY OF OPTIMAL-CONTROL PROBLEMS TO TIME-DELAY
CLARKE, FH
WOLENSKI, PR
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1991, 29 (05) : 1176 - 1215
[2] DUAL OPTIMAL-CONTROL PROBLEMS WITH TIME-DELAY
TSOUTSINOS, GI
[J]. SYSTEMS & CONTROL LETTERS, 1994, 23 (05) : 349 - 356
[3] CONTROL PARAMETERIZATION APPROACH TO TIME-DELAY OPTIMAL CONTROL PROBLEMS: A SURVEY
Wu, Di
Chen, Yin
Yu, Changjun
Bai, Yanqin
Teo, Kok Lay
[J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2023, 19 (05) : 3750 - 3783
[4] A direct numerical solution of time-delay fractional optimal control problems by using Chelyshkov wavelets
Moradi, L.
Mohammadi, F.
Baleanu, D.
[J]. JOURNAL OF VIBRATION AND CONTROL, 2019, 25 (02) : 310 - 324
[5] Application of periodic Bernoulli polynomials in approximating the solution of linear time-delay optimal control problems
Mehrabinezhad, M.
Eftekhari, N.
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021, 27 (09) : 1329 - 1354
[6] Numerical solution of time-delay optimal control problems by the operational matrix based on Hartley series
Dadkhah, Mahmood
Mamehrashi, Kamal
[J]. TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2022, 44 (06) : 1344 - 1355
[7] A Hybrid Time-Scaling Transformation for Time-Delay Optimal Control Problems
Yu, Changjun
Lin, Qun
Loxton, Ryan
Teo, Kok Lay
Wang, Guoqiang
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2016, 169 (03) : 876 - 901
[8] A Hybrid Time-Scaling Transformation for Time-Delay Optimal Control Problems
Changjun Yu
Qun Lin
Ryan Loxton
Kok Lay Teo
Guoqiang Wang
[J]. Journal of Optimization Theory and Applications, 2016, 169 : 876 - 901
[9] The optimal control of time-delay system
Zhong Wanxie
Tan Shujun
Wu Zhigang
[J]. Proceedings of the 24th Chinese Control Conference, Vols 1 and 2, 2005, : 394 - 398
[10] Pontryagin's maximum principle of optimal control problems with time-delay
Bokov G.V.
[J]. Journal of Mathematical Sciences, 2011, 172 (5) : 623 - 634

← 1 2 3 4 5 →