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Journal of Applied Mathematics
Volume 2012, Article ID 328186, 18 pages
Research Article

Iterative System Identification and Controller Design with an LMI-Based Framework: Windsurfer-Like Approach

Department of Mechanical and Production Engineering, Niigata University, 8050 Ikarashi 2-no-cho, Nishi-ku, Niigata 950-2181, Japan

Received 1 March 2012; Revised 21 June 2012; Accepted 24 June 2012

Academic Editor: Xianxia Zhang

Copyright © 2012 Kazuhiko Hiramoto. 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.


An LMI-based method for the integrated system identification and controller design is proposed in the paper. We use the fact that a class of a system identification problem results in an LMI optimization problem. By combining LMIs for the system identification and those to obtain a discrete time controller we propose a framework to integrate two steps for the model-based control system design, that is, the system identification and the controller synthesis. The framework enables us to obtain a good model for control and a model-based feedback controller simultaneously in the sense of the closed-loop performance. An iterative design algorithm similar to so-called Windsurfer Approach is presented.