Event-Triggered Fixed-Time Stabilization of Two Time Scales Linear Systems

This article investigates the fixed-time stabilization of uncertain linear time-invariant systems exhibiting two time scales using a state-feedback event-triggered controller. We proceed by emulation and assume that we know a controller that solves the problem in the absence of sampling. We then tak...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2023-03, Vol.68 (3), p.1722-1729
Main Authors: Lei, Yan, Wang, Yan-Wu, Morarescu, Irinel-Constantin, Postoyan, Romain
Format: Article
Language:English
Subjects:
Asymptotic stability
Controllers
Convergence
Event-triggered control
fixed-time stabilization
Linear systems
Numerical stability
Sampling
Stability criteria
Stabilization
State feedback
Subsystems
Symmetric matrices
Time
Time invariant systems
two time scales system
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Summary:This article investigates the fixed-time stabilization of uncertain linear time-invariant systems exhibiting two time scales using a state-feedback event-triggered controller. We proceed by emulation and assume that we know a controller that solves the problem in the absence of sampling. We then take sampling into account and present an event-triggered strategy, which consists of two independent sampling mechanisms, associated with the slow and the fast subsystems, respectively. In this setting, the fixed-time stability property becomes practical, where the adjustable parameters are constants used to define the triggering rules. The existence of a strictly positive time between any two successive transmissions is ensured for each transmission law. A numerical example is provided to illustrate the effectiveness of the results.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2022.3151818