Comparison of two Replacing Methods a delayed Object in Optimal Control Problem for a Distributed Parameter System
|International Journal of Electrical and Electronics Engineering|
|© 2020 by SSRG - IJEEE Journal|
|Volume 7 Issue 6|
|Year of Publication : 2020|
|Authors : Mai Trung Thai, Nguyen Nam Trung|
How to Cite?
Mai Trung Thai, Nguyen Nam Trung, "Comparison of two Replacing Methods a delayed Object in Optimal Control Problem for a Distributed Parameter System," SSRG International Journal of Electrical and Electronics Engineering, vol. 7, no. 6, pp. 11-16, 2020. Crossref, https://doi.org/10.14445/23488379/IJEEE-V7I6P102
The delayed control objects often meet in many different fields such as industry, transport, transportation, military... Normally, when designing the controller, if the object is the delayed first order inertia system which is approximated by two systemsof the first order inertia, this often leads to the large error if the delayed time (i) is significantly large compared to its time constant (T). This paper presents a research comparing the accuracy of the solution when replacing a delayed object by Taylor approximation model and first-order Pade approximation model (Pade-1) so as to solve the optimal control problem for a distributed parameter system with delayed time. The system is applied to a specific one-sided heat-transfer system in a heating furnace to control temperature for a flat-slab following the most accurate burning standards.
optimal control; distributed parameter systems; delay; numerical method; Taylor approximation; Pade approximation
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