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H ∞ Dynamic Output Feedback Consensus Control for Discrete-Time Multi-Agent Systems with Switching Topology

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Abstract

In this paper, we consider distributed H ∞ consensus problem for multi-agent systems with discrete-time high-dimensional linear coupling dynamics subjected to external disturbances. The interaction topology among the agents is assumed to be switching and undirected. To achieve consensus, a neighbor-based dynamic output feedback protocol is proposed for each agent. By using Schur orthogonal transformation, the considered multi-agent H ∞ consensus control problem is converted into H ∞ control problem of a discrete-time switching subsystem. Based on graph theory and common Lyapunov function method, a sufficient condition in terms of linear matrix inequalities is established to solve H ∞ consensus problem of the considered multi-agent systems. Moreover, the feedback gain matrix can be obtained from the feasible solution to the linear matrix inequalities. Finally, a simulation example is given to illustrate our established theoretical result.

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Authors and Affiliations

  1. Institute of Intelligent Systems and Decision, Wenzhou University, Zhejiang, 325027, China

    Lixin Gao, Changfei Tong & Liyong Wang

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  1. Lixin Gao
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  2. Changfei Tong
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  3. Liyong Wang
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Correspondence to Lixin Gao.

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Gao, L., Tong, C. & Wang, L. H ∞ Dynamic Output Feedback Consensus Control for Discrete-Time Multi-Agent Systems with Switching Topology. Arab J Sci Eng 39, 1477–1487 (2014). https://doi.org/10.1007/s13369-013-0807-7

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  • DOI: https://doi.org/10.1007/s13369-013-0807-7

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