Abstract:
We consider the control problem for a group containing a given number of uninformed agents; this is a consensus problem. An agent's model is defined by a two-dimensional integrator. The purpose of this work is to synthesize a decentralized smooth law of the agents' motion in a multiagent system that would let us construct and support a prescribed configuration of the group of agents. The considered group should follow the leader, either real or virtual. Informational links between agents are given by a communications digraph.
The work shows numerical results for various initial conditions and various desired trajectories.
Presented by the member of Editorial Board:B. T. Polyak
Citation:
Yu. V. Morozov, “Modification and comparative analysis of smooth control laws for a group of agents”, Avtomat. i Telemekh., 2012, no. 11, 96–113; Autom. Remote Control, 73:11 (2012), 1838–1851
\Bibitem{Mor12}
\by Yu.~V.~Morozov
\paper Modification and comparative analysis of smooth control laws for a~group of agents
\jour Avtomat. i Telemekh.
\yr 2012
\issue 11
\pages 96--113
\mathnet{http://mi.mathnet.ru/at4074}
\zmath{https://zbmath.org/?q=an:1268.93012}
\transl
\jour Autom. Remote Control
\yr 2012
\vol 73
\issue 11
\pages 1838--1851
\crossref{https://doi.org/10.1134/S0005117912110069}
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Linking options:
https://www.mathnet.ru/eng/at4074
https://www.mathnet.ru/eng/at/y2012/i11/p96
This publication is cited in the following 2 articles:
A. V. Proskurnikov, “Consensus in nonlinear stationary networks with identical agents”, Autom. Remote Control, 76:9 (2015), 1551–1565
A. V. Proskurnikov, “Frequency-domain criteria for consensus in multiagent systems with nonlinear sector-shaped couplings”, Autom. Remote Control, 75:11 (2014), 1982–1995