On Instability of LS-based Self-tuning Systems with Bounded Disturbances
Optimization and Control
2019-01-09 v1
Abstract
It is well known that discrete-time linear systems can be stabilized by a least-squares (LS) based self-tuning regulator (STR), as long as noises are absent. However, this note shows that once the discrete-time linear systems are disturbed, the LS-based STR is always running the risk of unstabilizing systems, no matter how small the noises are.
Cite
@article{arxiv.1901.02128,
title = {On Instability of LS-based Self-tuning Systems with Bounded Disturbances},
author = {Shuai Xu and Chanying Li},
journal= {arXiv preprint arXiv:1901.02128},
year = {2019}
}