Passivity-based decentralized stabilization of multi-agent systems with uncertainty and mixed delays |
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Authors: | Lianzeng MA Xuebo CHEN and Huaguang ZHANG |
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Affiliation: | School of Information Science and Engineering, Northeastern University; School of Electronics and Information Engineering, University of Science and Technology Liaoning,School of Electronics and Information Engineering, University of Science and Technology Liaoning,School of Information Science and Engineering, Northeastern University |
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Abstract: | In this paper, we investigate a decentralized stabilization problem of uncertain multi-agent systems with mixed delays including discrete and distributed time-varying delays based on passivity stability. We design a decentralized state-feedback stabilization scheme such that the family of closed-loop feedback subsystems enjoys the delay-dependent passivity stability for each subsystem. Then, by employing a new Lyapunov-Krasovskii function, a linear matrix inequality (LMI) approach is developed to establish the delay-dependent criteria for the passivity stability of multi-agent systems. The sufficient condition is given for checking the passivity stability. The proposed LMI result is computationally efficient. An example is given to show the effectiveness of the method. |
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Keywords: | Multi-agent systems Passivity stability Decentralized stabilization Time-delay systems |
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