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Title: Distributed Coordinated Control of Large-Scale Nonlinear Networks

We provide a distributed coordinated approach to the stability analysis and control design of largescale nonlinear dynamical systems by using a vector Lyapunov functions approach. In this formulation the large-scale system is decomposed into a network of interacting subsystems and the stability of the system is analyzed through a comparison system. However finding such comparison system is not trivial. In this work, we propose a sum-of-squares based completely decentralized approach for computing the comparison systems for networks of nonlinear systems. Moreover, based on the comparison systems, we introduce a distributed optimal control strategy in which the individual subsystems (agents) coordinate with their immediate neighbors to design local control policies that can exponentially stabilize the full system under initial disturbances.We illustrate the control algorithm on a network of interacting Van der Pol systems.
Authors:
 [1] ;  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Center for Nonlinear Studies and Information Sciences Group
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Information Sciences Group
Publication Date:
OSTI Identifier:
1221885
Report Number(s):
LA-UR--15-24524
Journal ID: ISSN 2405-8963
Grant/Contract Number:
AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
IFAC-PapersOnLine
Additional Journal Information:
Journal Volume: 48; Journal Issue: 22; Conference: 5. IFAC Workshop on Distributed Estimation and Control in Networked Systems (NecSys 2015), Philadelphia, PA (United States), 10-11 Sep 2015; Journal ID: ISSN 2405-8963
Publisher:
Elsevier
Research Org:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 97 MATHEMATICS AND COMPUTING Mathematics