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Output regulation of heterogeneous linear multi‐agent systems with differential graphical game
Author(s) -
Adib Yaghmaie Farnaz,
Lewis Frank L.,
Su Rong
Publication year - 2015
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3413
Subject(s) - multiplicative function , nash equilibrium , computer science , controller (irrigation) , mathematical optimization , upper and lower bounds , margin (machine learning) , control theory (sociology) , mathematics , control (management) , artificial intelligence , mathematical analysis , machine learning , agronomy , biology
Summary This paper addresses output regulation of heterogeneous linear multi‐agent systems. We first show that output regulation can be achieved through local controller design, then we formulate output regulation in the graphical game framework. To solve output regulation of heterogeneous linear multi‐agent system in the graphical game framework, one needs to derive a solution to the coupled Hamilton–Jacobi equations. Both offline and online algorithms are suggested for that solution. Using the online method, the profile policy converges to a Nash Equilibrium. Besides, it is shown that the graphical formulation is robust to the multiplicative uncertainty satisfying an upper bound and it has an infinite gain margin. Copyright © 2015 John Wiley & Sons, Ltd.