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Abstract and Applied Analysis
Volume 2014, Article ID 737495, 9 pages
Research Article

General Output Feedback Stabilization for Fractional Order Systems: An LMI Approach

1Department of Automation, University of Science and Technology of China, Hefei 230027, China
2Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway
3College of Engineering, University of North Carolina Charlotte, Charlotte, NC 28223, USA
4Department of Mechanical and Biomedical Engineering, City University of Hong Kong, Kowloon Tong 999077, Hong Kong

Received 3 November 2013; Accepted 4 January 2014; Published 20 February 2014

Academic Editor: Peng Shi

Copyright © 2014 Yiheng Wei 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.


This paper is concerned with the problem of general output feedback stabilization for fractional order linear time-invariant (FO-LTI) systems with the fractional commensurate order . The objective is to design suitable output feedback controllers that guarantee the stability of the resulting closed-loop systems. Based on the slack variable method and our previous stability criteria, some new results in the form of linear matrix inequality (LMI) are developed to the static and dynamic output feedback controllers synthesis for the FO-LTI system with . Furthermore, the results are extended to stabilize the FO-LTI systems with . Finally, robust output feedback control is discussed. Numerical examples are given to illustrate the effectiveness of the proposed design methods.