A Convolution Bound Implies Tolerance to Time-variations and Unmodelled Dynamics
Optimization and Control
2022-09-02 v2 Systems and Control
Systems and Control
Abstract
Recently it has been shown, in several settings, how to carry out adaptive control for an LTI plant so that a convolution bound holds on the closed-loop behavior; this, in turn, has been leveraged to prove robustness of the closed-loop system to time-varying parameters and unmodelled dynamics. The goal of this paper is to show that the same is true for a large class of finite-dimensional, nonlinear plant and controller combinations.
Cite
@article{arxiv.1910.02112,
title = {A Convolution Bound Implies Tolerance to Time-variations and Unmodelled Dynamics},
author = {Mohamad T. Shahab and Daniel E. Miller},
journal= {arXiv preprint arXiv:1910.02112},
year = {2022}
}
Comments
This version makes the controller structure more general and clarifies the details of the example in Section 5.2