A CHEBYSHEV-APPROXIMATION FOR SOLVING OPTIMAL-CONTROL PROBLEMS

Authors
ELGINDY TM ELHAWARY HM SALIM MS ELKADY M
Citation
Tm. Elgindy et al., A CHEBYSHEV-APPROXIMATION FOR SOLVING OPTIMAL-CONTROL PROBLEMS, Computers & mathematics with applications, 29(6), 1995, pp. 35-45
Citations number
15
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
29
Issue
6
Year of publication
1995
Pages
35 - 45
Database
ISI
SICI code
0898-1221(1995)29:6<35:ACFSOP>2.0.ZU;2-T
Abstract
This paper presents a numerical solution for solving optimal control p roblems, and the controlled Duffing oscillator. A new Chebyshev spectr al procedure is introduced. Control variables and state variables are approximated by Chebyshev series. Then the system dynamics is transfor med into systems of algebraic equations. The optimal control problem i s reduced to a constrained optimization problem. Results and compariso ns are given at the end of the paper.