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Title: Cooperative output regulation of heterogeneous linear multi-agent networks via H∞ performance allocation
Authors: Li, Xianwei
Soh, Yeng Chai
Xie, Lihua
Lewis, Frank L.
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2018
Source: Li, X., Soh, Y. C., Xie, L., & Lewis, F. L.(2018). Cooperative output regulation of heterogeneous linear multi-agent networks via H∞ performance allocation. IEEE Transactions on Automatic Control, 683-696. doi:10.1109/TAC.2018.2838048
Journal: IEEE Transactions on Automatic Control
Abstract: The cooperative output regulation (COR) problem of heterogeneous linear multi-agent networks [multi-agent systems (MASs)] is studied in the paper. Agents are allowed to be inherently heterogeneous linear time-invariant systems and the communication graph is not restricted to be acyclic. Both state- and output-feedback control protocols that make use of neighbors' output information are considered. In light of robust control theory and robust output regulation theory, small-gain solvability conditions with closed-loop pole specifications are first derived. Then, an H ∞ performance allocation approach is proposed for protocol design, where algorithms for optimizing graph weights and designing protocol gains are constructed, respectively. Both continuous-time (CT) and discrete-time MASs are investigated in a unified framework. In addition, solvability of the COR problem is further discussed from the graph, agent, and exosystem aspects, respectively. It is proved that the proposed approach pre-explicitly ensures the solvability of the COR problem for either of the three cases: the graph is acyclic; for CT MASs, agents are minimum-phase and right-invertible; and for CT MASs, the poles of the exosystem have zero real part and agents are right-invertible.
ISSN: 1558-2523
DOI: 10.1109/TAC.2018.2838048
Schools: School of Electrical and Electronic Engineering 
Rights: © 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at:
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