Optimal Control for a Distributed Parameter System with Time-Delay, Non-Linear Using the Numerical Method. Application to One-Sided Heat Conduction System

International Journal of Thermal Engineering

© 2018 by SSRG - IJTE Journal

Volume 4 Issue 1

Year of Publication : 2018

Authors : Cong Huu Nguyen, Mai Trung Thai

10.14445/23950250/IJTE-V4I1P101

How to Cite?

Cong Huu Nguyen, Mai Trung Thai, "Optimal Control for a Distributed Parameter System with Time-Delay, Non-Linear Using the Numerical Method. Application to One-Sided Heat Conduction System," SSRG International Journal of Thermal Engineering, vol. 4,  no. 1, pp. 1-11, 2018. Crossref, https://doi.org/10.14445/23950250/IJTE-V4I1P101

Abstract:

This paper presents a solution of an optimal control problem for a parabolic-type distributed parameter systems with time delay, non-linear governed by a heat-conduction equation. The system is applied to a specific one-sided heat-conduction system in a heating furnace to control temperature for a slab following the most accurate burning standards [2], [6]. The target of problem is to find an optimal control signal so that the error between the distribution of real temperature of the object and the desired temperature is minimum after a given period of time tf [2], [6], [9]. After solving the problem, building the algorithms and establishing the control programs, we have proceeded to run the simulation programs on a slab of Samot and a slab of Diatomite to test calculting programs.

Keywords:

 optimal control, distributed parameter systems, delay, non-linear, numerical method.

References:

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