Suboptimal nonlinear feedback control laws for collective dynamics

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Title: Suboptimal nonlinear feedback control laws for collective dynamics
Authors: Herty, M
Kalise, D
Item Type: Conference Paper
Abstract: We present feedback control methodologies for the stabilization of nonlinear collective dynamics. The proposed controllers circumvent the curse of dimensionality associated to dynamic programming of large-scale nonlinear dynamics by means of different structural assumptions on the nonlinearity and the associated Hamilton-Jacobi-Bellman equation. We explore a power series expansion method, and a state-dependent Riccati equation approach. The proposed designs are studied for a relaxed optimal power flow model, and for binary interactions arising in opinion and consensus dynamics.
Issue Date: 23-Aug-2018
Date of Acceptance: 15-Mar-2018
ISBN: 9781538660898
ISSN: 1948-3449
Publisher: IEEE
Start Page: 556
End Page: 561
Journal / Book Title: IEEE International Conference on Control and Automation, ICCA
Copyright Statement: © 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Conference Name: International Conference in Control and Automation ICCA 2018
Publication Status: Published
Start Date: 2018-06-12
Finish Date: 2018-06-15
Conference Place: Anchorage, AK, USA
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences

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