CHEBYSHEV FINITE DIFFERENCE METHOD FOR SOLVING CONSTRAINED QUADRATIC OPTIMAL CONTROL PROBLEMS

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MALEKI M.; DADKHAH TIRANI M.

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Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2011 | Volume:5 | Issue:2 (S.N. 10) Page(s): 1-21

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Title

CHEBYSHEV FINITE DIFFERENCE METHOD FOR SOLVING CONSTRAINED QUADRATIC OPTIMAL CONTROL PROBLEMS

Author(s)

MALEKI M. | DADKHAH TIRANI M. | Issue Writer Certificate

Keywords

CHEBYSHEV FINITE DIFFERENCE METHOD

OPTIMAL CONTROL

NONLINEAR PROGRAMMING PROBLEM

CHEBYSHEV GAUSS- LOBATTO NODES

Abstract

In this paper the CHEBYSHEV FINITE DIFFERENCE METHOD is em-ployed for finding the approximate solution of time varying constrained OPTIMAL CONTROL problems. This approach consists of reducing the op-timal control problem to a nonlinear mathematical programming prob-lem. To this end, the collocation points (Chebyshev Gauss-Lobatto nodes) are introduced then the state and control variables are approx-imated using special Chebyshev series with unknown parameters. The performance index is parameterized and the system dynamics and con-straints are then replaced with a set of algebraic equations. Numerical examples are included to demonstrate the validity and applicability of the technique.

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APA: Copy

MALEKI, M., & DADKHAH TIRANI, M.. (2011). CHEBYSHEV FINITE DIFFERENCE METHOD FOR SOLVING CONSTRAINED QUADRATIC OPTIMAL CONTROL PROBLEMS. JOURNAL OF MATHEMATICAL EXTENSION, 5(2 (S.N. 10)), 1-21. SID. https://sid.ir/paper/582973/en

Vancouver: Copy

MALEKI M., DADKHAH TIRANI M.. CHEBYSHEV FINITE DIFFERENCE METHOD FOR SOLVING CONSTRAINED QUADRATIC OPTIMAL CONTROL PROBLEMS. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2011;5(2 (S.N. 10)):1-21. Available from: https://sid.ir/paper/582973/en

IEEE: Copy

M. MALEKI, and M. DADKHAH TIRANI, “CHEBYSHEV FINITE DIFFERENCE METHOD FOR SOLVING CONSTRAINED QUADRATIC OPTIMAL CONTROL PROBLEMS,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 5, no. 2 (S.N. 10), pp. 1–21, 2011, [Online]. Available: https://sid.ir/paper/582973/en

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