Nonsmooth leader-following formation control of nonidentical multi-agent systems with directed communication topologies

• Jing Lü ^[1] ; Fei Chen ^[2] ; Guanrong Chen ^[3]
  1. [1] Beihang University

     Beihang University

     China

     
  2. [2] Xiamen University

     Xiamen University

     China

     
  3. [3] University of Hong Kong,China

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• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 64, 2016, págs. 112-120
• Idioma: inglés
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• Resumen

  • This paper presents two nonsmooth leader-following formation protocols for nonidentical Lipschitz nonlinear multi-agent systems with directed communication network topologies. One protocol is used to achieve finite-time formation for first-order systems, and the other to achieve asymptotic formation for second-order systems. In these protocols, the states of all the agents, including the leader and the followers, are available only locally within their neighborhoods. Some sufficient conditions for reaching formations are derived for nonidentical nonlinear systems satisfying locally Lipschitz conditions. To prove the stability, a new nonsmooth Lyapunov function is constructed, with stability conditions derived under a nonsmooth analysis framework. The proposed formation protocols are applied to multi-spacecraft systems in deep-space exploration, with numerical simulations demonstrating the effectiveness of the theoretical results.