Premium
H ∞ ‐output regulation of linear heterogeneous multiagent systems over switching graphs
Author(s) -
Adib Yaghmaie Farnaz,
Hengster Movric Kristian,
Lewis Frank L.,
Su Rong,
Sebek Michael
Publication year - 2018
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.4108
Subject(s) - graph , multi agent system , synchronization (alternating current) , control theory (sociology) , computer science , output feedback , linear system , controller (irrigation) , directed graph , topology (electrical circuits) , mathematics , control (management) , theoretical computer science , algorithm , combinatorics , artificial intelligence , mathematical analysis , agronomy , biology
Summary In this paper, we analyze H ∞ ‐output regulation of linear heterogeneous multiagent systems. The agents are subject to modeled and unmodeled disturbances and communicate over a switching graph. We derive a sufficient condition that guarantees H ∞ output regulation for the mentioned setup. This sufficient condition places requirements on both the single‐agent systems and the switching graph. The requirement on the single‐agent systems is an H ∞ ‐criterion that should be satisfied by a proper design of the controller. Meanwhile, the switching graph needs to be maximally connected. Moreover, we derive an upper bound for the overall L 2 ‐gain of the output synchronization error with respect to the unmodeled disturbances over a fixed communication graph. We illustrate our technical developments by a simulation example.