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On Distributed Reduced-Order Observer-Based Protocol for Linear Multiagent Consensus under Switching Topology

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  • Yan Zhang
  • Lixin Gao
  • Changfei Tong

Abstract

We discuss linear multiagent systems consensus problem with distributed reduced-order observer-based protocol under switching topology. We use Jordan decomposition method to prove that the proposed protocols can solve consensus problem under directed fixed topology. By constructing a parameter-dependent common Lyapunov function, we prove that the distributed reduced-order observer-based protocol can also solve the continuous-time multi-agent consensus problem under the undirected switching interconnection topology. Then, we investigate the leader-following consensus problem and propose a reduced-order observer-based protocol for each following agent. By using similar analysis method, we can prove that all following agents can track the leader under a class of directed interaction topologies. Finally, the given simulation example also shows the effectiveness of our obtained result.

Suggested Citation

  • Yan Zhang & Lixin Gao & Changfei Tong, 2013. "On Distributed Reduced-Order Observer-Based Protocol for Linear Multiagent Consensus under Switching Topology," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-13, April.
    • Handle: RePEc:hin:jnlaaa:793276
    DOI: 10.1155/2013/793276
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