Finite/Fixed-Time Stabilization of Linear Systems With State Quantization

• 成果类型: Article
• 署名作者: Zhou, Yu; Polyakov, Andrey; Zheng, Gang
• 署名单位: Centre National de la Recherche Scientifique (CNRS); Inria
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3473619
• 发表日期: 2025
• 页码: 1921-1928
• 关键词: Quantization (signal); Linear systems; Numerical stability; vectors; Symmetric matrices; CONVERGENCE; State feedback; asymptotic stability; uncertainty; Sufficient conditions; Finite/fixed-time stabilization; homogeneous system; QUANTIZATION

摘要

This article develops a homogeneity-based approach to finite/fixed-time stabilization of a linear time-invariant (LTI) system with quantized measurements. A sufficient condition for finite/fixed-time stabilization of multiinput LTI system under state quantization is derived. It is shown that a homogeneous state feedback with a novel logarithmic-like quantizer design 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.