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Journal of Control Science and Engineering
Volume 2014, Article ID 840128, 5 pages
http://dx.doi.org/10.1155/2014/840128
Research Article

Partial Pole Placement in LMI Region

1Key Lab of Ministry of Education for Image Processing & Intelligent Control, School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China
2College of Electronic Science & Engineering, Jilin University, Changchun 130012, China

Received 21 August 2014; Accepted 29 October 2014; Published 16 November 2014

Academic Editor: Petko Petkov

Copyright © 2014 Liuli Ou et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.