Abstract
In this paper a new linearization procedure based on Homotopy Perturbation Method (HPM) will be presented. The procedure begins with solving nonlinear differential equation by HPM. This will be done by evaluation of the time response of a nonlinear dynamic. An equivalent Laplace transform of the time response will be obtained. In the preceding, the effect of an external excitation i.e. input, will be removed from the model to find an approximate linear model for the nonlinear dynamic. The effectiveness of the procedure is verified using a heat transfer nonlinear equation. Ultimately, both HPM based linear model and that of nonlinear have been controlled via a closed loop PID controller. The simulation result shows the significance of the proposed technique.
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Hosseinnia, S.H., Ranjbar, A., Ganji, D.D. et al. Homotopy perturbation based linearization of nonlinear heat transfer dynamic. J. Appl. Math. Comput. 29, 163–176 (2009). https://doi.org/10.1007/s12190-008-0122-8
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DOI: https://doi.org/10.1007/s12190-008-0122-8