Volume 37, Issue 6 pp. 1193-1206
Research Article

An improved path-following method for solving static output feedback control problems

Jian Chen

Jian Chen

Institute of Complexity Science, Qingdao University, Qingdao, 266071 China

College of Automation Engineering, Qingdao University of Technology, Qingdao, 266555 China

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Chong Lin

Corresponding Author

Chong Lin

Institute of Complexity Science, Qingdao University, Qingdao, 266071 China

Correspondence to: Chong Lin, Institute of Complexity Science, Qingdao University, Qingdao 266071, China.

E-mail: [email protected]

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Bing Chen

Bing Chen

Institute of Complexity Science, Qingdao University, Qingdao, 266071 China

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First published: 30 December 2015
Citations: 15

Summary

This paper studies the static output feedback stabilization problems. An improved path-following method is proposed for continuous-time systems as well as for discrete-time systems. The method has two advantages. Firstly, by virtue of a new linearization approach, the related bilinear matrix inequalities ensuring the stabilization of the systems are expanded and linearized around some points. The initialization methods for both systems are built. Then a wide range perturbation step is added to help the method escape from local optimum. The effectiveness and merits of the proposed method are shown through several examples. Copyright © 2015 John Wiley & Sons, Ltd.

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