## Iterative system identification and controller design with an LMI-based framework: Windsurfer-like Approach.(English)Zbl 1251.93093

Summary: An LMI-based method for the integrated system identification and controller design is proposed. 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.

### MSC:

 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, $$L^p, l^p$$, etc.) in control theory 93E10 Estimation and detection in stochastic control theory
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