English

Data-Driven Structured Control for Continuous-Time LTI Systems

Optimization and Control 2026-01-29 v1

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, H2H_2 performance, and HH_\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.

Keywords

Cite

@article{arxiv.2601.20340,
  title  = {Data-Driven Structured Control for Continuous-Time LTI Systems},
  author = {Zhaohua Yang and Yuxing Zhong and Ling Shi},
  journal= {arXiv preprint arXiv:2601.20340},
  year   = {2026}
}