Applying Second-Order Padé Approximation in Optimal Control Problem for a Distributed Parameter System with Delayed-Time

International Journal of Electrical and Electronics Engineering

© 2021 by SSRG - IJEEE Journal

Volume 8 Issue 6

Year of Publication : 2021

Authors : Mai Trung Thai

10.14445/23488379/IJEEE-V8I6P101

How to Cite?

Mai Trung Thai, "Applying Second-Order Padé Approximation in Optimal Control Problem for a Distributed Parameter System with Delayed-Time," SSRG International Journal of Electrical and Electronics Engineering, vol. 8,  no. 6, pp. 1-7, 2021. Crossref, https://doi.org/10.14445/23488379/IJEEE-V8I6P101

Abstract:

This paper gives a solution of an optimal control problem for a distributed parameter system with delayed-time (DPSDT), governed by a heat-conduction equation, using the numerical method. In which, the delayed object e-s is replaced by using second-order Padé approximation model (Padé-2). The system is also applied to a specific one-sided heat-conduction system in a heating furnace to control temperature for the objects which have flat-slab shape following the most accurate burning standards [2,6,9,10,11,12]. The aim of problem is also to find an optimal control signal (optimal voltage) 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 [2,6,9,10,11,12].
To verify the solution of the problem, the author have proceeded to run the simulation programs on a flat-slab of Carbon steel and a flat-slab of Diatomite.

Keywords:

Optimal control, Distributed parameter systems, Delay, Numerical method, Padé approximation

References:

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