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

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 dampe...

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Main Authors:	Zabet, Khaled, Rossiter, John Anthony, Haber, Robert, Abdullah, Muhammad
Format:	Article
Language:	English English English
Published:	ISA - Instrumentation, Systems, and Automation Society 2017
Subjects:	TJ212 Control engineering
Online Access:	http://irep.iium.edu.my/75673/ http://irep.iium.edu.my/75673/ http://irep.iium.edu.my/75673/ http://irep.iium.edu.my/75673/1/2017_Pole-placement%20Predictive%20Functional%20Control%20for%20under-damped%20systems%20with%20real%20numbers%20algebra.pdf http://irep.iium.edu.my/75673/7/75653_Pole-placement%20Predictive%20Functional%20Control_scopus.pdf http://irep.iium.edu.my/75673/8/75653_Pole-placement%20Predictive%20Functional%20Control_wos.pdf

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spelling	iium-756732019-12-02T03:57:05Z http://irep.iium.edu.my/75673/ Pole-placement predictive functional control for under-damped systems with real numbers algebra Zabet, Khaled Rossiter, John Anthony Haber, Robert Abdullah, Muhammad TJ212 Control engineering 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. ISA - Instrumentation, Systems, and Automation Society 2017-11 Article PeerReviewed application/pdf en http://irep.iium.edu.my/75673/1/2017_Pole-placement%20Predictive%20Functional%20Control%20for%20under-damped%20systems%20with%20real%20numbers%20algebra.pdf application/pdf en http://irep.iium.edu.my/75673/7/75653_Pole-placement%20Predictive%20Functional%20Control_scopus.pdf application/pdf en http://irep.iium.edu.my/75673/8/75653_Pole-placement%20Predictive%20Functional%20Control_wos.pdf 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 https://pdf.sciencedirectassets.com/271436/1-s2.0-S0019057817X00074/1-s2.0-S0019057816308072/main.pdf?X-Amz-Security-Token=IQoJb3JpZ2luX2VjEMP%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCXVzLWVhc3QtMSJGMEQCIC0T8o5TVjBk5mBl5o11JL%2FCdNMuyI7EhhVAo4eKIR1hAiBVky%2BSWquRBjiisXxeo6kfL8Bsz4NHIwhxfAQaWjgR9CrZAgj8%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F8BEAIaDDA1OTAwMzU0Njg2NSIMNhtGQHzsqZXmdQPcKq0CjdaQ4shyAKuceYB975rv5iftAZEtaJe6V6ivkkyikFXovZI9qB8mXI7Y%2Fh%2F174LwH7nScY0Mc5dXyTC4STGC0zkHH17rvXSlFFdQQRlK48oKDkuXDAE6cGItZgnH2%2B7OPLTAc%2BreEkIIalhbfSlwfxrGK44w%2FUd3XlFf0OG0zdORxS7Ft7Lp%2FlgHi3tq6%2FzyIle4ykCfF02y1dnC%2BZQ3md%2BywQtVXPsJBfvz9xfnXbT20FM7t6abeXbg2iozH%2BNR%2Br8kFbXxuWMOTgGGOASbeg%2BBtbTKAx%2F3WaC2wqbYS6i7EKvyMIk3gAXl0fLn7n%2BmdaNjyJrK4YZ7Wl%2FoB%2FNvoIaCo6baAwlfwluOb6LpLPYcWynciH4hu0RgBnadJj1eAjce37PxhuuIpmMQjzCc65HvBTrQArLi%2F0FJ1J91%2FfUacgl%2B3cxXuCw4OV%2F1fhul3fM1N3N0XxmvqHc%2B07B%2FbGoghOvKDsPswyp6lBagWMRM3GPsFi33EpoWcMUhq%2BaIwauiyWXxgTr66mdtbXFm7HiYBaOBfS6UziEY6FbgYcsXsXgwSChbWx6TqdU9pwWwvF58E4lmrTs6kD1O8%2FULANxoJqHu8K%2B4FkY3uS%2FPnHDRG%2FeUctelFFF51NZK9cWenepqXUfWVq63FQzeS7AfPjaxU%2BPbJNV4AlgHQW2spxb5ZOrnMElH%2BQ6gS%2BLS%2B7RIlE1iwG%2FYJcWVxH4sRP7mFCb0%2BVDGbpoHr5L9X2TCOjQIGkciWHCYCaI9re%2F9MmvT6sEz2gw6hkXrwV44c4%2BlsvA5nChaNDVQmojsqRl7SAmagrAyQWQpE38u%2F3blWe8fGdPP%2FlWMM4WMujl7enExT3yx1ak64Q%3D%3D&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Date=20191202T033108Z&X-Amz-SignedHeaders=host&X-Amz-Expires=300&X-Amz-Credential=ASIAQ3PHCVTYT3TQIXF4%2F20191202%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Signature=f700731b6272ab73d568949fa1b037b90bfc6fdf3ded654de09ceee65c7167fe&hash=f3846d8df5cf1305c5a8f619b9734db50c21d80484d60d1b3262d4176481f4e0&host=68042c943591013ac2b2430a89b270f6af2c76d8dfd086a07176afe7c76c2c61&pii=S0019057816308072&tid=spdf-21edc6a8-a5f1-4c2c-ae77-6b2db464b595&sid=51609f11909dc84eab49c5b7ca6f3a1db9d7gxrqb&type=client 10.1016/j.isatra.2017.08.002
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English English
topic	TJ212 Control engineering
spellingShingle	TJ212 Control engineering Zabet, Khaled Rossiter, John Anthony Haber, Robert Abdullah, Muhammad Pole-placement predictive functional control for under-damped systems with real numbers algebra
description	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.
format	Article
author	Zabet, Khaled Rossiter, John Anthony Haber, Robert Abdullah, Muhammad
author_facet	Zabet, Khaled Rossiter, John Anthony Haber, Robert Abdullah, Muhammad
author_sort	Zabet, Khaled
title	Pole-placement predictive functional control for under-damped systems with real numbers algebra
title_short	Pole-placement predictive functional control for under-damped systems with real numbers algebra
title_full	Pole-placement predictive functional control for under-damped systems with real numbers algebra
title_fullStr	Pole-placement predictive functional control for under-damped systems with real numbers algebra
title_full_unstemmed	Pole-placement predictive functional control for under-damped systems with real numbers algebra
title_sort	pole-placement predictive functional control for under-damped systems with real numbers algebra
publisher	ISA - Instrumentation, Systems, and Automation Society
publishDate	2017
url	http://irep.iium.edu.my/75673/ http://irep.iium.edu.my/75673/ http://irep.iium.edu.my/75673/ http://irep.iium.edu.my/75673/1/2017_Pole-placement%20Predictive%20Functional%20Control%20for%20under-damped%20systems%20with%20real%20numbers%20algebra.pdf http://irep.iium.edu.my/75673/7/75653_Pole-placement%20Predictive%20Functional%20Control_scopus.pdf http://irep.iium.edu.my/75673/8/75653_Pole-placement%20Predictive%20Functional%20Control_wos.pdf
first_indexed	2023-09-18T21:47:03Z
last_indexed	2023-09-18T21:47:03Z
_version_	1777413520323772416

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

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