Data-Driven Robust Control for Discrete Linear Time-Invariant Systems: A Descriptor System Approach
Abstract
Given the recent surge of interest in data-driven control, this paper proposes a two-step method to study robust data-driven control for a parameter-unknown linear time-invariant (LTI) system that is affected by energy-bounded noises. First, two data experiments are designed and corresponding data are collected, then the investigated system is equivalently written into a data-based descriptor system with structured parametric uncertainties. Second, combined with model-based control theory for descriptor systems, state feedback controllers are designed for such data-based descriptor system, which stabilize the original LTI system and guarantee the performance. Finally, a simulation example is provided to illustrate the effectiveness and merits of our method.
Cite
@article{arxiv.2203.06959,
title = {Data-Driven Robust Control for Discrete Linear Time-Invariant Systems: A Descriptor System Approach},
author = {Jiabao He and Xuan Zhang and Feng Xu and Junbo Tan and Xueqian Wang},
journal= {arXiv preprint arXiv:2203.06959},
year = {2022}
}