Finite/Fixed-Time Stabilization of Linear Systems With State Quantization
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.
Authors
- Yu Zhou (ORCID: https://orcid.org/0000-0002-6160-8322)
- Gang Zheng (ORCID: https://orcid.org/0000-0002-5671-7700)
- Andrey Polyakov (ORCID: https://orcid.org/0000-0002-5876-3495)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Institut national de recherche en sciences et technologies du numérique (FR)
- Université de Lille (FR)
- Centre Inria de l'Université de Lille (FR)
- École Centrale de Lille (FR)
Publication Details
- Journal
- IEEE Transactions on Automatic Control
- Published
- 2024-10-02
- DOI
- https://doi.org/10.1109/tac.2024.3473619
- Citations
- 3
- Primary Topic
- Stability and Control of Uncertain Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.98
Funders
- National Natural Science Foundation of China