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.
Kazuhiko Hiramoto. "Iterative System Identification and Controller Design with an LMI-Based Framework: Windsurfer-Like Approach." J. Appl. Math. 2012 (SI08) 1 - 18, 2012. https://doi.org/10.1155/2012/328186