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

Yan Zhang, Lixin Gao and Changfei Tong

Abstract and Applied Analysis, 2013, vol. 2013, 1-13

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:793276

DOI: 10.1155/2013/793276

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