The Cooperative Output Regulation Problem of Discrete-Time Linear Multi-Agent Systems by the Adaptive Distributed Observer

In this technical note, we first present an adaptive distributed observer for a discrete-time leader system. This adaptive distributed observer will provide, to each follower, not only the estimation of the leader's signal, but also the estimation of the leader's system matrix. Then, based...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2017-04, Vol.62 (4), p.1979-1984
Main Author: Huang, Jie
Format: Article
Language:English
Subjects:
Decentralized control
Digital control
Eigenvalues and eigenfunctions
Multi-agent systems
networked control systems
Observers
Regulators
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Summary:In this technical note, we first present an adaptive distributed observer for a discrete-time leader system. This adaptive distributed observer will provide, to each follower, not only the estimation of the leader's signal, but also the estimation of the leader's system matrix. Then, based on the estimation of the matrix S, we devise a discrete adaptive algorithm to calculate the solution to the regulator equations associated with each follower, and obtain an estimated feedforward control gain. Finally, we solve the cooperative output regulation problem for discrete-time linear multi-agent systems by both state feedback and output feedback adaptive distributed control laws utilizing the adaptive distributed observer.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2016.2592802