On Instability of LS-based Self-tuning Systems with Bounded Disturbances

Shuai Xu; Chanying Li

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arXiv · 1901.02128

On Instability of LS-based Self-tuning Systems with Bounded Disturbances

Shuai Xu·Chanying Li

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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.

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Shuai Xu, Chanying Li. 2019-01-08. On Instability of LS-based Self-tuning Systems with Bounded Disturbances. https://arxiv.org/abs/1901.02128

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