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Title: Differential graphical games for H∞ control of linear heterogeneous multiagent systems
Authors: Farnaz Adib Yaghmaie
Hengster-Movric, Kristian
Lewis, Frank L.
Su, Rong
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2019
Source: Farnaz Adib Yaghmaie, Hengster-Movric, K., Lewis, F. L. & Su, R. (2019). Differential graphical games for H∞ control of linear heterogeneous multiagent systems. International Journal of Robust and Nonlinear Control, 29(10), 2995-3013.
Project: NRF2015ENC-GBICRD001-057
RG94/17-(S)-SU RONG (VP)
Journal: International Journal of Robust and Nonlinear Control
Abstract: 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 and H∞ output 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 L₂ -gain of the output synchronization error with respect to disturbance. We demonstrate our developments by a simulation example.
ISSN: 1049-8923
DOI: 10.1002/rnc.4538
Rights: © 2019 John Wiley & Sons, Ltd. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:EEE Journal Articles

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