Abstract
This paper studies on the stability, robustness and performance of general cyclic consensus systems, when a single agent in the system is directly controlled by an external controller and all other agents follow a consensus protocol. It is shown that those controlled consensus systems have an infinite gain margin and a guaranteed phase margin. In addition, for the unit step reference, the tracking performance with a proportional controller is related to the topology of inter-agent connections and a fundamental performance limitation is analytically found. Moreover illustrative numerical examples suggest that a one-way communication may negatively affect the overall performance of controlled consensus systems.
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Recommended by Editorial Board member Young Soo Suh under the direction of Editor Hyungbo Shim.
This work is sponsored by the Long-term Visiting Program of Gangneung-Wonju National University (2011-0035).
Myung-Gon Yoon received an M.Eng. degree in Mechanical Engineering and a Ph.D. degree in Control Engineering in 1992 and 1997, respectively, both from the Seoul National University, Korea. He was invited to the University of Tokyo, Japan, from 1999 to 2000 as a JSPS Postdoctoral Fellow. From 2001 to 2003 he held research positions with Australian Defense Force Academy and University of New South Wales, Australia. From 2004 he has been with School of Mechanical & Automotive Engineering, Gangneung-Wonju National University, Korea. His research interests are in control of networked systems, robust control & filtering theory, quantum control, guidance and nonlinear control of mechanical systems.
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Yoon, MG. Single agent control for cyclic consensus systems. Int. J. Control Autom. Syst. 11, 243–249 (2013). https://doi.org/10.1007/s12555-012-9102-8
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DOI: https://doi.org/10.1007/s12555-012-9102-8