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A novel approach to periodic event-triggered control: Design and application to the inverted pendulum

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2016
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info:eu-repo/semantics/openAccess
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Resumen
In this paper, periodic event-triggered controllers are proposed for the rotary inverted pendulum. The control strategy is divided in two steps: swing-up and stabilization. In both cases, the system is sampled periodically but the control actions are only computed at certain instances of time (based on events), which are a subset of the sampling times. For the stabilization control, the asymptotic stability is guaranteed applying the Lyapunov–Razumikhin theorem for systems with delays. This result is applicable to general linear systems and not only to the inverted pendulum. For the swing-up control, a trigger function is provided from the derivative of the Lyapunov function for the swing-up control law. Experimental results show a significant improvement with respect to periodic control in the number of control actions.
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The registered version of this article, first published in “ISA Transactions 65, 327-338", is available online at the publisher's website: Elsevier, https://doi.org/10.1016/j.isatra.2016.08.019 La versión registrada de este artículo, publicado por primera vez en “ISA Transactions 65, 327-338", está disponible en línea en el sitio web del editor: Elsevier, https://doi.org/10.1016/j.isatra.2016.08.019
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Palabras clave
event-based control, stability analysis, lyapunov methods, networked control systems
Citación
E. Aranda-Escolástico, M. Guinaldo, F. Gordillo, S. Dormido. “A novel approach to periodic event-triggered control: Design and application to the inverted pendulum”, ISA Transactions 65, 327-338, 2016. DOI: 10.1016/j.isatra.2016.08.019
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Ingeniería de Software y Sistemas Informáticos
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