NONLINEAR CONTROL OF HEAT TRANSFER DYNAMIC USING HOMOTOPY PERTURBATION METHOD (HPM)

Subject Areas : International Journal of Mathematical Modelling & Computations

Jamal Ghasemi ¹

1 - http://scholar.google.com/citations?user=YXc4zpMAAAAJ&hl=en Faculty of Engineering & Technology, University of Mazandaran Iran, Islamic Republic of

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2013-03-21

Keywords: Modeling, System dynamic, heat transfer, Nonlinear Equations, Estimation, Homotopy-perturbation method (HPM),

Abstract :

Nonlinear problems are more challenging and almost complex to be solved. A recently developed Homotopy Perturbation Method (HPM) is introduced. This method is used to represent the system as a less complicated (almost linear) model. To verify the effectiveness, HPM based model is compared with the nonlinear dynamic in both open and closed loop PI controlled. The error indices are approximation of possible uncertainties which may be occurred. The simulation results reveal the ability of the proposed method.