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Distributed Tracking Control for Discrete-Time Multiagent Systems with Novel Markovian Switching Topologies

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  • Hongbin Wang
  • Zhen Zhou
  • Zhongquan Hu

Abstract

Distributed discrete-time coordinated tracking control problem is investigated for multiagent systems in the ideal case, where agents with a fixed graph combine with a leader-following group, aiming to expand the function of the traditional one in some scenes. The modified union switching topology is derived from a set of Markov chains to the edges by introducing a novel mapping. The issue on how to guarantee all the agents tracking the leader is solved through a PD-like consensus algorithm. The available sampling period and the feasible control gain are calculated in terms of the trigonometric function theory, and the mean-square bound of tracking errors is provided finally. Simulation example is presented to demonstrate the validity of the theoretical results.

Suggested Citation

  • Hongbin Wang & Zhen Zhou & Zhongquan Hu, 2017. "Distributed Tracking Control for Discrete-Time Multiagent Systems with Novel Markovian Switching Topologies," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-10, December.
    • Handle: RePEc:hin:jnddns:1626452
    DOI: 10.1155/2017/1626452
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