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Nonlinear fixed-time control protocol for uniform allocation of agents on a segment

  • Control Theory
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Abstract

The paper addresses the problem of row straightening of agents via local interactions. A nonlinear control protocol that ensures finite-time equidistant allocation on a segment is proposed. With the designed protocol, any settling time can be guaranteed regardless of the initial conditions. A robust modification of the control algorithm based on sliding mode control technique is presented. The case of multidimensional agents is also considered. The theoretical results are illustrated via numerical simulations.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Profsoyuznaya ul. 65, Moscow, 117997, Russia

    S. E. Parsegov, A. E. Polyakov & P. S. Shcherbakov

Authors
  1. S. E. Parsegov
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  2. A. E. Polyakov
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  3. P. S. Shcherbakov
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Correspondence to S. E. Parsegov.

Additional information

Original Russian Text © S.E. Parsegov, A.E. Polyakov, P.S. Shcherbakov, 2013, published in Doklady Akademii Nauk, 2013, Vol. 448, No. 5, pp. 524–528.

The article was translated by the authors.

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Parsegov, S.E., Polyakov, A.E. & Shcherbakov, P.S. Nonlinear fixed-time control protocol for uniform allocation of agents on a segment. Dokl. Math. 87, 133–136 (2013). https://doi.org/10.1134/S106456241301033X

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  • DOI: https://doi.org/10.1134/S106456241301033X

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