Finite/fixed-time Stabilization of Linear Systems with States Quantization
Optimization and Control
2023-09-07 v2 Systems and Control
Systems and Control
Abstract
This paper develops a homogeneity-based approach to finite/fixed-time stabilization of linear time-invariant (LTI) system with quantized measurements. A sufficient condition for finite/fixed-time stabilization of multi-input LTI system under states quantization is derived. It is shown that a homogeneous quantized state feedback with logarithmic quantizer can guarantee finite/fixed-time stability of the closed-loop system provided that the quantization is sufficiently dense. Theoretical results are supported with numerical simulations.
Cite
@article{arxiv.2309.01412,
title = {Finite/fixed-time Stabilization of Linear Systems with States Quantization},
author = {Yu Zhou and Andrey Polyakov and Gang Zheng},
journal= {arXiv preprint arXiv:2309.01412},
year = {2023}
}