Pole-placement predictive functional control for under-damped systems with real numbers algebra

Zabet, Khaled and Rossiter, John Anthony and Haber, Robert and Abdullah, Muhammad (2017) Pole-placement predictive functional control for under-damped systems with real numbers algebra. ISA Transactions, 71. pp. 403-414. ISSN 0019-0578

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Abstract

This paper presents the new algorithm of PP-PFC (Pole placement Predictive Functional Control) for stable, linear under-damped higher-order processes. It is shown that while conventional PFC aims to get first-order exponential behavior, this is not always straightforward with significant under damped modes and hence a pole-placement PFC algorithm is proposed which can be tuned more precisely to achieve the desired dynamics, but exploits complex number algebra and linear combinations in order to deliver guarantees of stability and performance. Nevertheless, practical implementation is easier by avoiding complex number algebra and hence a modified formulation of the PP-PFC algorithm is also presented which utilises just real numbers while retaining the key attributes of simple algebra, coding and tuning. The potential advantages are demonstrated with numerical examples and real-time control of a laboratory plant.

Item Type:	Article (Journal)
Additional Information:	8972/75673
Uncontrolled Keywords:	Predictive Functional Control; Pole-placement; Under-damped system; Real number algebra
Subjects:	T Technology > TJ Mechanical engineering and machinery > TJ212 Control engineering
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Mechanical Engineering
Depositing User:	Muhammad Bin Abdullah
Date Deposited:	02 Dec 2019 11:57
Last Modified:	02 Dec 2019 11:57
URI:	http://irep.iium.edu.my/id/eprint/75673

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