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- Title
A Hybrid Method for Solving Optimal Control Problems.
- Authors
Keyanpour, Mohammad; Mahmoudi, Ali
- Abstract
This paper presents a numerical technique for solving optimal control problems. Control variables are series constructed by Legendre polynomials. In this technique state variables are computed in terms of control variables by implementing Decomposition Method. Performance index is transformed by replacing new control and state variables. The system dynamics and the performance index are converted into some algebraic equations. Then the optimal control problem is reduced to constrained classical optimization problem. To show the efficiency of the purposed technique results and comparisons are given at the end of this paper. Also optimal state trajectory and optimal control policy graphs are included.
- Subjects
NUMERICAL calculations; CONTROL theory (Engineering); LEGENDRE'S polynomials; DECOMPOSITION method; PERFORMANCE evaluation; EQUATIONS; MATHEMATICAL optimization; COMPARATIVE studies
- Publication
IAENG International Journal of Applied Mathematics, 2012, Vol 42, Issue 2, p80
- ISSN
1992-9978
- Publication type
Article