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

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...

ver descrição completa

Detalhes bibliográficos
Autores: Aranda Escolástico, Ernesto, Guinaldo Losada, María, Gordillo, Francisco, Dormido Canto, Sebastián
Formato: artículo
Fecha de publicación:2016
País:España
Recursos:Universidad Nacional de Educación a Distancia
Repositorio:e-spacio. Repositorio Institucional de la UNED
Idioma:inglés
OAI Identifier:oai:e-spacio.uned.es:20.500.14468/23915
Acesso em linha:https://hdl.handle.net/20.500.14468/23915
Access Level:acceso abierto
Palavra-chave:33 Ciencias Tecnológicas
event-based control
stability analysis
lyapunov methods
networked control systems
Descrição
Resumo: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.