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Title: Differential graphical games for H ∞ control of linear heterogeneous multiagent systems
Summary

Differential graphical games have been introduced in the literature to solve state synchronization problem for linear homogeneous agents. When the agents are heterogeneous, the previous notion of graphical games cannot be used anymore and a new definition is required. In this paper, we define a novel concept of differential graphical games for linear heterogeneous agents subject to external unmodeled disturbances, which contain the previously introduced graphical game for homogeneous agents as a special case. Using our new formulation, we can solve both the output regulation andHoutput regulation problems. Our graphical game framework yields coupled Hamilton‐Jacobi‐Bellman equations, which are, in general, impossible to solve analytically. Therefore, we propose a new actor‐critic algorithm to solve these coupled equations numerically in real time. Moreover, we find an explicit upper bound for the overall‐gain of the output synchronization error with respect to disturbance. We demonstrate our developments by a simulation example.

 
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NSF-PAR ID:
10461655
Author(s) / Creator(s):
 ;  ;  ;  
Publisher / Repository:
Wiley Blackwell (John Wiley & Sons)
Date Published:
Journal Name:
International Journal of Robust and Nonlinear Control
Volume:
29
Issue:
10
ISSN:
1049-8923
Page Range / eLocation ID:
p. 2995-3013
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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