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Comparison of Riemann and Lebesgue sampling for first order stochastic systems
Abstract
The normal approach to digital control is to sample periodically in time. Using an analog of integration theory we can call this Riemann sampling. Lebesgue sampling or event based sampling is an alternative to Riemann sampling. It means that signals are sampled only when measurements pass certain limits. In this paper it is shown that Lebesgue sampling gives better performance for some simple systems.
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Citations
Cites
A Unified Framework for Hybrid Control: Model and Optimal Control Theory
Branicky, M. S., Borkar, V. S., & Mitter, S. K. (1998) · IEEE Transactions on Automatic Control · doi:10.1109/9.654885 · Cited by 1,313
Cited by
Distributed event-triggered control for multi-agent systems
Dimarogonas, D. V., Frazzoli, E., & Johansson, K. H. (2012) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2174666 · Cited by 2,556
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
Event-triggered communication and control of networked systems for multi-agent consensus
Nowzari, C., Garcia, E., & Cortés, J. (2019) · Automatica · doi:10.1016/j.automatica.2019.03.009 · Cited by 655
Event based agreement protocols for multi-agent networks
Meng, X., & Chen, T. (2013) · Automatica · doi:10.1016/j.automatica.2013.03.002 · Cited by 538
A Small-Gain Approach to Robust Event-Triggered Control of Nonlinear Systems
Liu, T., & Jiang, Z.-P. (2015) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2015.2396645 · Cited by 398
Metadata
- Authors
- Astrom, K. J., & Bernhardsson, B. M.
- Venue
- Proceedings of the 41st IEEE Conference on Decision and Control, 2002.
- Publisher
- IEEE
- Published
- 2003-08-27
- Volume
- 2
- Pages
- 2011-2016
- ISSN
- 0191-2216 (ISSN-L)
- OpenAlex
- W1685524015
- Cited by
- 986
- References
- 1
- FWCI
- 17.28
- Type
- conference paper
- Language
- en
- Open access
- closed
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- The paper
- Astrom, K. J., & Bernhardsson, B. M. (2003). Comparison of Riemann and Lebesgue sampling for first order stochastic systems. Proceedings of the 41st IEEE Conference on Decision and Control, 2002. https://doi.org/10.1109/cdc.2002.1184824
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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.
