The leader-following rendezvous with connectivity preservation via a self-tuning adaptive distributed observer

This paper studies the leader-following rendezvous with connectivity preservation problem for multiple double-integrator systems subject to external disturbances via a self-tuning adaptive distributed observer approach. This approach offers two advantages over the existing approach. First, it remove...

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Published inInternational journal of control Vol. 90; no. 7; pp. 1518 - 1527
Main Authors Dong, Yi, Huang, Jie
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 03.07.2017
Taylor & Francis Ltd
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ISSN0020-7179
1366-5820
DOI10.1080/00207179.2016.1210823

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Abstract This paper studies the leader-following rendezvous with connectivity preservation problem for multiple double-integrator systems subject to external disturbances via a self-tuning adaptive distributed observer approach. This approach offers two advantages over the existing approach. First, it removes the existing assumption that all the followers know the system matrix of the leader system. Second, the difficult task of calculating the observer gain is avoided by the employment of the dynamic observer gain. A rigorous analysis shows that our control law is capable of maintaining the connectivity of any initial connected communication network, and achieving the asymptotic tracking and disturbance rejection for a class of leader's signals and external disturbances, which can be the algebraic sum or multiplication of any polynomial functions with any unknown coefficients and sinusoidal functions with arbitrary unknown amplitudes, initial phases, and any frequencies.
AbstractList This paper studies the leader-following rendezvous with connectivity preservation problem for multiple double-integrator systems subject to external disturbances via a self-tuning adaptive distributed observer approach. This approach offers two advantages over the existing approach. First, it removes the existing assumption that all the followers know the system matrix of the leader system. Second, the difficult task of calculating the observer gain is avoided by the employment of the dynamic observer gain. A rigorous analysis shows that our control law is capable of maintaining the connectivity of any initial connected communication network, and achieving the asymptotic tracking and disturbance rejection for a class of leader's signals and external disturbances, which can be the algebraic sum or multiplication of any polynomial functions with any unknown coefficients and sinusoidal functions with arbitrary unknown amplitudes, initial phases, and any frequencies.
Author Dong, Yi
Huang, Jie
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SubjectTerms adaptive control
Connectivity preservation
multi-agent system
output regulation
Title The leader-following rendezvous with connectivity preservation via a self-tuning adaptive distributed observer
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