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On Event-Triggered Control for Singular Systems

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Abstract

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.

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Authors and Affiliations

  1. National School of Engineers of Sfax, University of Sfax, Sfax, 3038, Tunisia

    Mariem Ghamgui & Mohamed Chaabane

  2. National School of Engineering of Poitiers, University of Poitiers, 86022, Poitiers, France

    Mariem Ghamgui, Driss Mehdi & Olivier Bachelier

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  1. Mariem Ghamgui
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  2. Driss Mehdi
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  3. Olivier Bachelier
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  4. Mohamed Chaabane
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Correspondence to Driss Mehdi.

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Ghamgui, M., Mehdi, D., Bachelier, O. et al. On Event-Triggered Control for Singular Systems. Circuits Syst Signal Process 42, 4621–4636 (2023). https://doi.org/10.1007/s00034-023-02348-9

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  • DOI: https://doi.org/10.1007/s00034-023-02348-9

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