Finite/fixed-time Stabilization of Linear Systems with States Quantization

Autor:	Zhou, Yu, Polyakov, Andrey, Zheng, Gang
Rok vydání:	2023
Předmět:	Mathematics - Optimization and Control Electrical Engineering and Systems Science - Systems and Control
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.01412 Zobrazit plný text záznamu View this record from Arxiv