Periodic event-triggered control of nonlinear systems using overapproximation techniques
| Autor: | Romain Postoyan, D.P. Borgers, Adolfo Anta, Dragan Nesic, Wpmh Maurice Heemels, Paulo Tabuada |
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| Přispěvatelé: | Eindhoven University of Technology [Eindhoven] (TU/e), Centre de Recherche en Automatique de Nancy (CRAN), Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL), General Electric, Computer Science Department [Los Angeles] (UCLA), University of California [Los Angeles] (UCLA), University of California-University of California, University of Melbourne, Department of Mechanical Engineering [Eindhoven], Eindhoven University of Technology [Eindhoven] (TU/e)-Technische Universiteit Eindhoven (TU/e), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Technische Universiteit Eindhoven (TU/e)-Eindhoven University of Technology [Eindhoven] (TU/e), Control Systems Technology |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Polytopic overapproximation
0209 industrial biotechnology Computer science Linear system Continuous time systems 02 engineering and technology Function (mathematics) Constructive [SPI.AUTO]Engineering Sciences [physics]/Automatic Sampling periods Nonlinear system Task (computing) 020901 industrial engineering & automation Sampling (signal processing) Exponential stability Control and Systems Engineering Control theory 0202 electrical engineering electronic engineering information engineering Nonlinear systems Digital implementation 020201 artificial intelligence & image processing Electrical and Electronic Engineering Event-triggered control Event (probability theory) |
| Zdroj: | Automatica Automatica, Elsevier, 2018, 94, pp.81-87. ⟨10.1016/j.automatica.2018.04.019⟩ Automatica, 94, 81-87. Elsevier |
| ISSN: | 0005-1098 |
| DOI: | 10.1016/j.automatica.2018.04.019 |
| Popis: | International audience; In event-triggered control, the control task consisting of sampling the plant's output and updating the control input is executed whenever a certain event function exceeds a given threshold. The event function typically needs to be monitored continuously, which is difficult to realize in digital implementations. This has led to the development of periodic event-triggered control (PETC), in which the event function is only evaluated periodically. In this paper, we consider general nonlinear continuous event-triggered control (CETC) systems, and present a method to transform the CETC system into a PETC system. In particular, we provide an explicit bound on the sampling period at which the event function is evaluated and we present a constructive procedure to redesign the triggering condition. The latter is obtained by upper-bounding the evolution of the event function of the CETC system between two successive sampling instants by a linear time-invariant system and then by using convex overapproximation techniques. Using this approach, we are able to preserve the control performance guarantees (e.g., asymptotic stability with a certain decay rate) of the original CETC system. |
| Databáze: | OpenAIRE |
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