On Event-Triggered Control for Singular Systems

This paper deals with the state feedback control of singular continuous-time linear systems with discrete-time measurement of the state. Intuitively, descriptor or singular description of linear systems is more general than conventional state space description. In particular, a descriptor form inclu...

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Bibliographic Details
Published in:Circuits, systems, and signal processing systems, and signal processing, 2023-08, Vol.42 (8), p.4621-4636
Main Authors: Ghamgui, Mariem, Mehdi, Driss, Bachelier, Olivier, Chaabane, Mohamed
Format: Article
Language:English
Subjects:
Automatic Control Engineering
Circuits and Systems
Closed loops
Computer Science
Continuous time systems
Control systems
Controllers
Decomposition
Discrete time systems
Electrical Engineering
Electronics and Microelectronics
Embedded systems
Engineering
Event triggered control
Feedback control
Instrumentation
Linear systems
Signal processing
Signal,Image and Speech Processing
State feedback
State vectors
Time measurement
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Summary:This paper deals with the state feedback control of singular continuous-time linear systems with discrete-time measurement of the state. Intuitively, descriptor or singular description of linear systems is more general than conventional state space description. In particular, a descriptor form includes information about algebraic as well as dynamic constraints. The use of an event-triggering mechanism results in a varying sampling-time period. Moreover, it is worth noting that the system is really in open loop during the inter-event time interval. The consequence is that there is no means to make the system admissible and by the way all the nice theory of admissibilization becomes useless. Hence, a continuous-time singular system in a sampled data closed-loop framework is badly posed unless the open loop is regular. In the case the open-loop system is regular, it is shown that the fast component of the state vector exhibits a discontinuous behavior. The dynamic event-triggering mechanism is shown to insure that the inter-event time interval is lower bounded, and as a consequence, it avoids the Zeno phenomenon. Simulations are presented to illustrate the obtained results.
ISSN:0278-081X
1531-5878
DOI:10.1007/s00034-023-02348-9