Partial Pole Placement in LMI Region

Partial Pole Placement in LMI Region

A new approach for pole placement of single-input system is proposed in this paper. Noncritical closed loop poles can be placed arbitrarily in a specified convex region when dominant poles are fixed in anticipant locations. The convex region is expressed in the form of linear matrix inequality (LMI)...

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Main Authors: Liuli Ou, Shaobo Han, Yongji Wang, Shuai Dong, Lei Liu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2014/840128
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spelling doaj-1560818083ec4df59c6a9df5ca1697132020-11-25T00:50:43ZengHindawi LimitedJournal of Control Science and Engineering1687-52491687-52572014-01-01201410.1155/2014/840128840128Partial Pole Placement in LMI RegionLiuli Ou0Shaobo Han1Yongji Wang2Shuai Dong3Lei Liu4Key Lab of Ministry of Education for Image Processing & Intelligent Control, School of Automation, Huazhong University of Science and Technology, Wuhan 430074, ChinaCollege of Electronic Science & Engineering, Jilin University, Changchun 130012, ChinaKey Lab of Ministry of Education for Image Processing & Intelligent Control, School of Automation, Huazhong University of Science and Technology, Wuhan 430074, ChinaKey Lab of Ministry of Education for Image Processing & Intelligent Control, School of Automation, Huazhong University of Science and Technology, Wuhan 430074, ChinaKey Lab of Ministry of Education for Image Processing & Intelligent Control, School of Automation, Huazhong University of Science and Technology, Wuhan 430074, ChinaA new approach for pole placement of single-input system is proposed in this paper. Noncritical closed loop poles can be placed arbitrarily in a specified convex region when dominant poles are fixed in anticipant locations. The convex region is expressed in the form of linear matrix inequality (LMI), with which the partial pole placement problem can be solved via convex optimization tools. The validity and applicability of this approach are illustrated by two examples.http://dx.doi.org/10.1155/2014/840128
collection DOAJ
language English
format Article
sources DOAJ
author Liuli Ou
Shaobo Han
Yongji Wang
Shuai Dong
Lei Liu
spellingShingle Liuli Ou
Shaobo Han
Yongji Wang
Shuai Dong
Lei Liu
Partial Pole Placement in LMI Region
Journal of Control Science and Engineering
author_facet Liuli Ou
Shaobo Han
Yongji Wang
Shuai Dong
Lei Liu
author_sort Liuli Ou
title Partial Pole Placement in LMI Region
title_short Partial Pole Placement in LMI Region
title_full Partial Pole Placement in LMI Region
title_fullStr Partial Pole Placement in LMI Region
title_full_unstemmed Partial Pole Placement in LMI Region
title_sort partial pole placement in lmi region
publisher Hindawi Limited
series Journal of Control Science and Engineering
issn 1687-5249
1687-5257
publishDate 2014-01-01
description A new approach for pole placement of single-input system is proposed in this paper. Noncritical closed loop poles can be placed arbitrarily in a specified convex region when dominant poles are fixed in anticipant locations. The convex region is expressed in the form of linear matrix inequality (LMI), with which the partial pole placement problem can be solved via convex optimization tools. The validity and applicability of this approach are illustrated by two examples.
url http://dx.doi.org/10.1155/2014/840128
work_keys_str_mv AT liuliou partialpoleplacementinlmiregion
AT shaobohan partialpoleplacementinlmiregion
AT yongjiwang partialpoleplacementinlmiregion
AT shuaidong partialpoleplacementinlmiregion
AT leiliu partialpoleplacementinlmiregion
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