Event-triggered finite-time consensus of multiple Euler Lagrange systems under Markovian switching topologies

Zhen Zhou, Hongbin Wang, Zhongquan Hu and Xiaojun Xue

International Journal of Systems Science, 2018, vol. 49, issue 8, 1641-1653

Abstract: Finite-time consensus problem for multiple Euler Lagrange systems under Markovian switching topologies is investigated through an event-triggered control protocol. First, instead of the general stochastic topology, the graph of the entire system is governed by some Markov chains to the edge set, which can recover the traditional Markovian switching topologies in line with the practical communication environment. Then, by utilising an integral sliding-mode control strategy, rigorous analysis of finite-time consensus is performed through the graph theory and Lyapunov stability theory. An event-triggered communication law is delicately carried out for each agent, and Zeno behaviour of triggering time sequences is excluded absolutely. Finally, several simulation results on six two-link manipulators are given to verify the effectiveness of the designed control strategy.

Date: 2018
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DOI: 10.1080/00207721.2018.1464609

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