Data-Driven Structured Control for Continuous-Time LTI Systems

Abstract: This paper addresses the data-driven structured controller design problem for continuous-time linear time-invariant (LTI) systems. We consider three control objectives, including stabilization, $H_2$ performance, and $H_\infty$ performance. Using the collected data, we construct a minimal matrix ellipsoid that contains all admissible system matrices. We propose some linearization techniques that enable us to incorporate the structural constraint on the controller, which motivates an iterative algorithm for each control objective. Finally, we provide some numerical examples to demonstrate the effectiveness of the proposed methods.