An Approach to Mismatched Disturbance Rejection Control for Continuous-Time Uncontrollable Systems
Abstract
This paper focuses on optimal mismatched disturbance rejection control for linear continuoustime uncontrollable systems. Different from previous studies, by introducing a new quadratic performance index to transform the mismatched disturbance rejection control into a linear quadratic tracking problem, the regulated state can track a reference trajectory and minimize the influence of disturbance. The necessary and sufficient conditions for the solvability and the disturbance rejection controller are obtained by solving a forward-backward differential equation over a finite horizon. A sufficient condition for system stability is obtained over an infinite horizon under detectable condition. This paper details our novel approach for transforming disturbance rejection into a linear quadratic tracking problem. The effectiveness of the proposed method is provided with two examples to demonstrate.
Keywords
Cite
@article{arxiv.2306.01221,
title = {An Approach to Mismatched Disturbance Rejection Control for Continuous-Time Uncontrollable Systems},
author = {Shichao Lv and Hongdan Li and Kai Peng and Shihua Li and Huanshui Zhang},
journal= {arXiv preprint arXiv:2306.01221},
year = {2023}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2209.07014