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Quantized feedback stabilization of linear systems
Abstract
This paper addresses feedback stabilization problems for linear time-invariant control systems with saturating quantized measurements. We propose a new control design methodology, which relies on the possibility of changing the sensitivity of the quantizer while the system evolves. The equation that describes the evolution of the sensitivity with time (discrete rather than continuous in most cases) is interconnected with the given system (either continuous or discrete), resulting in a hybrid system. When applied to systems that are stabilizable by linear time-invariant feedback, this approach yields global asymptotic stability.
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Citations
Cited by
A state-feedback approach to event-based control
Lunze, J., & Lehmann, D. (2010) · Automatica · doi:10.1016/j.automatica.2009.10.035 · Cited by 1,020
Quantization, Time Delays, and Nonlinear Stabilization
Liberzon, D. (2006) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2006.878780 · Cited by 196
Self-citationBekiaris-Liberis, N. (2020) · Systems & Control Letters · doi:10.1016/j.sysconle.2020.104809 · Cited by 12
Koudohode, F., & Bekiaris-Liberis, N. (2026) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2026.3730335
Metadata
- Authors
- Brockett, R. W., & Liberzon, D.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2000-07
- Volume
- 45
- Issue
- 7
- Pages
- 1279-1289
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2122161467
- Cited by
- 1,636
- References
- 0
- FWCI
- 40.55
- Type
- journal article
- Language
- en
- Open access
- closed
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- Brockett, R. W., & Liberzon, D. (2000). Quantized feedback stabilization of linear systems. IEEE Transactions on Automatic Control. https://doi.org/10.1109/9.867021
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
