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Self-Triggered Feedback Control Systems With Finite-Gain ${\cal L}_{2}$ Stability
Abstract
This paper examines a class of real-time control systems in which each control task triggers its next release based on the value of the last sampled state. Prior work used simulations to demonstrate that self-triggered control systems can be remarkably robust to task delay. This paper derives bounds on a task's sampling period and deadline to quantify how robust the control system's performance will be to variations in these parameters. In particular we establish inequality constraints on a control task's period and deadline whose satisfaction ensures that the closed-loop system's inducedL2gain lies below a specified performance threshold. The results apply to linear time-invariant systems driven by external disturbances whose magnitude is bounded by a linear function of the system state's norm. The plant is regulated by a full-informationHinfincontroller. These results can serve as the basis for the design of soft real-time systems that guarantee closed-loop control system performance at levels traditionally seen in hard real-time systems.
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Cited by
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Dimarogonas, D. V., Frazzoli, E., & Johansson, K. H. (2012) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2174666 · Cited by 2,556
Periodic Event-Triggered Control for Linear Systems
Heemels, W. P. M. H., Donkers, M. C. F., & Teel, A. R. (2013) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2012.2220443 · Cited by 1,407
Differential Privacy Techniques for Cyber Physical Systems: A Survey
Hassan, M. U., Rehmani, M. H., & Chen, J. (2020) · IEEE Communications Surveys & Tutorials · doi:10.1109/comst.2019.2944748 · Cited by 564
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
Event-triggered control for discrete-time systems
Eqtami, A., Dimarogonas, D. V., & Kyriakopoulos, K. J. (2010) · Proceedings of the 2010 American Control Conference · doi:10.1109/acc.2010.5531089 · Cited by 384
Metadata
- Authors
- Wang, X., & Lemmon, M. D.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2009-03
- Volume
- 54
- Issue
- 3
- Pages
- 452-467
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- OpenAlex
- W2116089238
- Cited by
- 666
- References
- 0
- FWCI
- 81.91
- Type
- journal article
- Language
- en
- Open access
- closed
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- Wang, X., & Lemmon, M. D. (2009). Self-Triggered Feedback Control Systems With Finite-Gain ${\cal L}_{2}$ Stability. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2009.2012973
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