NUMERICAL SOLUTION OF THE CONTROLLED HARMONIC OSCILLATOR BY HOMOTOPY PERTURBATION METHOD

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MIRHOSSEINI ALIZAMINI S.M.

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Paper Information

Journal: CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS Year:2017 | Volume:2 | Issue:1 Page(s): 77-91

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Information Journal Paper

Title

NUMERICAL SOLUTION OF THE CONTROLLED HARMONIC OSCILLATOR BY HOMOTOPY PERTURBATION METHOD

Author(s)

MIRHOSSEINI ALIZAMINI S.M. | Issue Writer Certificate

Keywords

SUBOPTIMAL CONTROL

HARMONIC OSCILLATOR

DAMPING

HOMOTOPY PERTURBATION METHOD

Abstract

The controlled HARMONIC OSCILLATOR with retarded DAMPING, is an important class of optimal control problems which has an important role in oscillating phenomena in nonlinear engineering systems. In this paper, to solve this problem, we presented an analytical method. This approach is based on the HOMOTOPY PERTURBATION METHOD. The solution procedure becomes easier, simpler and more straightforward. In order to use the proposed method, a control design algorithm with low computational complexity is presented.Through the finite iterations of the proposed algorithm, a SUBOPTIMAL CONTROL law is obtained for the problems. Finally, the obtained results have been compared with the exact solution of the controlled HARMONIC OSCILLATOR and variational iteration method, so that the high accuracy of the results is clear.

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APA: Copy

MIRHOSSEINI ALIZAMINI, S.M.. (2017). NUMERICAL SOLUTION OF THE CONTROLLED HARMONIC OSCILLATOR BY HOMOTOPY PERTURBATION METHOD. CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS, 2(1 ), 77-91. SID. https://sid.ir/paper/267458/en

Vancouver: Copy

MIRHOSSEINI ALIZAMINI S.M.. NUMERICAL SOLUTION OF THE CONTROLLED HARMONIC OSCILLATOR BY HOMOTOPY PERTURBATION METHOD. CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS[Internet]. 2017;2(1 ):77-91. Available from: https://sid.ir/paper/267458/en

IEEE: Copy

S.M. MIRHOSSEINI ALIZAMINI, “NUMERICAL SOLUTION OF THE CONTROLLED HARMONIC OSCILLATOR BY HOMOTOPY PERTURBATION METHOD,” CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS, vol. 2, no. 1 , pp. 77–91, 2017, [Online]. Available: https://sid.ir/paper/267458/en

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