Containment control of continuous-time linear multi-agent systems with aperiodic sampling

• Huiyang Liu ^[1] ; Long Cheng ^[2] ; Min Tan ^[2] ; Zeng-Guang Hou ^[2]
  1. [1] University of Science and Technology Beijing, China
  2. [2] Academy of Sciences, Beijing, China
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 57, 2015, págs. 78-84
• Idioma: inglés
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• Resumen

  • In this paper, the containment control problem of continuous-time linear multi-agent systems is investigated. An aperiodic sampled-data based protocol is induced by using neighboring information with uncertainly time-varying sampling intervals. By utilizing the proposed protocol and properties of Laplacian matrix, the containment control problem of continuous-time linear multi-agent systems is equivalently transformed into a stability problem of discrete-time linear systems. The stability analysis is based on the robustness of related discrete-time systems against perturbation caused by the variation of sampling intervals. By using small-gain theorem, sufficient conditions are obtained to guarantee the stability of uncertain discrete-time systems. Furthermore, two special cases are given to illustrate the method proposed in this paper. The theoretical results are verified by some simulations.