Decentralized event-based leader-following consensus for a group of two-wheeled self-balancing robots

This paper deals with the development of a decentralized event-based control strategy applied to the leader-following consensus problem of a group of two-wheeled self-balancing robots so called mobile inverted pendulum (MIP). The MIP’s nonlinear mathematical model which includes the dynamics of the...

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Main Authors: O.D. Ramírez-Cárdenas, J.F. Guerrero-Castellanos, J. Linares-Flores, S. Durand, W.F. Guerrero-Sánchez
Format: Article
Language:Spanish
Published: Universitat Politècnica de València 2019-09-01
Series:Revista Iberoamericana de Automática e Informática Industrial RIAI
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Online Access:https://polipapers.upv.es/index.php/RIAI/article/view/11113
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author O.D. Ramírez-Cárdenas
J.F. Guerrero-Castellanos
J. Linares-Flores
S. Durand
W.F. Guerrero-Sánchez
author_facet O.D. Ramírez-Cárdenas
J.F. Guerrero-Castellanos
J. Linares-Flores
S. Durand
W.F. Guerrero-Sánchez
author_sort O.D. Ramírez-Cárdenas
collection DOAJ
description This paper deals with the development of a decentralized event-based control strategy applied to the leader-following consensus problem of a group of two-wheeled self-balancing robots so called mobile inverted pendulum (MIP). The MIP’s nonlinear mathematical model which includes the dynamics of the actuators is presented. Then, the model around an operating point is considered which allows to exploit the differential flatness property of the system, permitting a complete parametrization in terms of the flat output.  Assuming that the vehicle network exchange information through a directed and strongly connected graph, a decentralized control law is designed, and an event-based algorithm is developed. Then each MIP decides, based on the difference of its current state and its latest broadcast state, when it has to send a new value to its neighbors. The stability of the complete system is carried out in the Lyapunov sense together with the ISS (Input-to-State Stability) approach. Numerical results show the advantages \textit{wrt} information exchange between MIPs, as well as a good performance in the angular stabilization under two scenarios: regulation and tracking problem.
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institution Kabale University
issn 1697-7912
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language Spanish
publishDate 2019-09-01
publisher Universitat Politècnica de València
record_format Article
series Revista Iberoamericana de Automática e Informática Industrial RIAI
spelling doaj-art-1c394d40a4a04e9dbb71e186bdf5b4912025-01-02T12:57:15ZspaUniversitat Politècnica de ValènciaRevista Iberoamericana de Automática e Informática Industrial RIAI1697-79121697-79202019-09-0116443544610.4995/riai.2019.111137364Decentralized event-based leader-following consensus for a group of two-wheeled self-balancing robotsO.D. Ramírez-Cárdenas0J.F. Guerrero-Castellanos1J. Linares-Flores2S. Durand3W.F. Guerrero-Sánchez4Universidad Tecnológica de la MixtecaBenemérita Universidad Autónoma de PueblaUniversidad Tecnológica de la MixtecaUniv. StrasburgBenemérita Universidad Autónoma de PueblaThis paper deals with the development of a decentralized event-based control strategy applied to the leader-following consensus problem of a group of two-wheeled self-balancing robots so called mobile inverted pendulum (MIP). The MIP’s nonlinear mathematical model which includes the dynamics of the actuators is presented. Then, the model around an operating point is considered which allows to exploit the differential flatness property of the system, permitting a complete parametrization in terms of the flat output.  Assuming that the vehicle network exchange information through a directed and strongly connected graph, a decentralized control law is designed, and an event-based algorithm is developed. Then each MIP decides, based on the difference of its current state and its latest broadcast state, when it has to send a new value to its neighbors. The stability of the complete system is carried out in the Lyapunov sense together with the ISS (Input-to-State Stability) approach. Numerical results show the advantages \textit{wrt} information exchange between MIPs, as well as a good performance in the angular stabilization under two scenarios: regulation and tracking problem.https://polipapers.upv.es/index.php/RIAI/article/view/11113control basado en eventosagentescontrol de consensosistemas de transporte y vehículosrobots móviles y vehículos autónomos inteligentesteoría de control automático
spellingShingle O.D. Ramírez-Cárdenas
J.F. Guerrero-Castellanos
J. Linares-Flores
S. Durand
W.F. Guerrero-Sánchez
Decentralized event-based leader-following consensus for a group of two-wheeled self-balancing robots
Revista Iberoamericana de Automática e Informática Industrial RIAI
control basado en eventos
agentes
control de consenso
sistemas de transporte y vehículos
robots móviles y vehículos autónomos inteligentes
teoría de control automático
title Decentralized event-based leader-following consensus for a group of two-wheeled self-balancing robots
title_full Decentralized event-based leader-following consensus for a group of two-wheeled self-balancing robots
title_fullStr Decentralized event-based leader-following consensus for a group of two-wheeled self-balancing robots
title_full_unstemmed Decentralized event-based leader-following consensus for a group of two-wheeled self-balancing robots
title_short Decentralized event-based leader-following consensus for a group of two-wheeled self-balancing robots
title_sort decentralized event based leader following consensus for a group of two wheeled self balancing robots
topic control basado en eventos
agentes
control de consenso
sistemas de transporte y vehículos
robots móviles y vehículos autónomos inteligentes
teoría de control automático
url https://polipapers.upv.es/index.php/RIAI/article/view/11113
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AT jfguerrerocastellanos decentralizedeventbasedleaderfollowingconsensusforagroupoftwowheeledselfbalancingrobots
AT jlinaresflores decentralizedeventbasedleaderfollowingconsensusforagroupoftwowheeledselfbalancingrobots
AT sdurand decentralizedeventbasedleaderfollowingconsensusforagroupoftwowheeledselfbalancingrobots
AT wfguerrerosanchez decentralizedeventbasedleaderfollowingconsensusforagroupoftwowheeledselfbalancingrobots