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

Abstract

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.