Stochastic consensus control with finite frequency specification for Markov jump networks |
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| Authors: | Xiaoli Luan Chaojie Zhou Zhengtao Ding Fei Liu |
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| Affiliation: | 1. Key Laboratory of Advanced Control for Light Industry Processes, Ministry of Education, and the Institute of Automation, Jiangnan University, Wuxi, China;2. Control Systems Centre, School of Electrical and Electronic Engineering, University of Manchester, Manchester, UK |
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| Abstract: | A stochastic finite frequency consensus protocol for directed networks with Markov jump topologies and external disturbances is proposed in this paper. By introducing the frequency band information into consensus control design, the disagreement dynamics of interconnected networks asymptotically converge to zero with an improved level of disturbance attenuation in the specific frequency band. In addition, the new model transformation approach is presented by exploring certain features of Laplacian matrix in real Jordan form, which leads to more generality of the designed protocol. A numerical example validates the potential of the developed results. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | Markov jump network topology finite frequency H∞ control stochastic consensus control frequency and time domain inequalities |
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