Stochastic given-time H∞ consensus over Markov jump networks with disturbance constraint

Xiaoli Luan, Yang Min, Zhengtao Ding, Fei Liu

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    In this study, the given-time H_inf consensus problem over networks with directed information flow and Markov jump topologies is addressed. Our focus is on keeping the disagreement dynamics of networks remain confined within the prescribed bound in the fixed time interval. Compared with the asymptotical consensus in infinite settling time, the proposed algorithm is less conservative. In addition, the new model transformation approach is presented to make the design results more advantageous in commonality. Simulation results show the effectiveness of the proposed controller, and reveal that the prescribed boundary of the disagreement trajectory has the effect on disturbance rejection performance.
    Original languageEnglish
    JournalInstitute of Measurement and Control. Transactions
    Early online date16 Mar 2016
    Publication statusPublished - 2016


    • Directed communication graph, Markov jump topology, Given-time consensus, H_inf performance


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