Numerical Solution of the Controlled Harmonic Oscillator by Homotopy Perturbation Method
Publish Year: 1396
Type: Journal paper
Language: English
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Document National Code:
JR_COAM-2-1_006
Index date: 19 February 2023
Numerical Solution of the Controlled Harmonic Oscillator by 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.
Numerical Solution of the Controlled Harmonic Oscillator by Homotopy Perturbation Method Keywords:
Numerical Solution of the Controlled Harmonic Oscillator by Homotopy Perturbation Method authors
Seyed Mehdi Mirhosseini-Alizamini
Department of Mathematics, Payame Noor University (PNU), Tehran, Iran
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