Fully Distributed Adaptive PI Controllers for Heterogeneous Linear Networks

This brief works on the distributed adaptive consensus protocol design problem of heterogeneous linear networks over directed graphs. By introducing additive monotone increasing functions on both proportional and integral terms, a distributed adaptive consensus protocol is presented to achieve conse...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2018-09, Vol.65 (9), p.1209-1213
Main Authors: Lv, Yuezu, Li, Zhongkui, Duan, Zhisheng
Format: Article
Language:English
Subjects:
Adaptive control
consensus
cooperative control
directed graph
Eigenvalues
Eigenvalues and eigenfunctions
Graph theory
Laplace equations
Networked control systems
PI control
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Summary:This brief works on the distributed adaptive consensus protocol design problem of heterogeneous linear networks over directed graphs. By introducing additive monotone increasing functions on both proportional and integral terms, a distributed adaptive consensus protocol is presented to achieve consensus. The property of M -matrix is used to tackle the asymmetric Laplacian matrix of a directed graph. The protocols designed in this brief depend on only relative states of neighboring agents, requiring no global eigenvalue information of the graph, and thus can be implemented by each agent in a fully distributed fashion.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2017.2783893