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Consensus of Multi-Agent Systems With Nonholonomic Restrictions via Lyapunov’s Direct Method
Author(s) -
Mohamed Maghenem,
Abraham P. Bautista,
Emmanuel Nuño,
Antonio Lorı́a,
Elena Panteley
Publication year - 2018
Publication title -
ieee control systems letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.154
H-Index - 21
ISSN - 2475-1456
DOI - 10.1109/lcsys.2018.2879043
Subject(s) - nonholonomic system , lyapunov function , cartesian coordinate system , convergence (economics) , control theory (sociology) , controller (irrigation) , position (finance) , notation , exponential stability , function (biology) , mathematics , stability (learning theory) , computer science , robot , mobile robot , artificial intelligence , control (management) , geometry , physics , arithmetic , finance , nonlinear system , quantum mechanics , evolutionary biology , machine learning , agronomy , economics , biology , economic growth
This letter presents a smooth time-varying δ-persistently exciting controller for full consensus of autonomous nonholonomic vehicles modeled as unicycles. This consists in the robots assuming a common prescribed Cartesian position relative to an unknown barycentre and an unknown common orientation. More significantly, for the first time in the literature, a strict Lyapunov function is provided and...

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