Distributed Coordinated Control of Large-Scale Nonlinear Networks

Kundu, Soumya; Anghel, Marian

doi:10.1016/j.ifacol.2015.10.337

Title: Distributed Coordinated Control of Large-Scale Nonlinear Networks

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Abstract

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:

Kundu, Soumya ^[1]; Anghel, Marian ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Center for Nonlinear Studies and Information Sciences Group
Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Information Sciences Group

Publication Date:: Sun Nov 08 00:00:00 EST 2015

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1221885

Report Number(s):: LA-UR-15-24524
Journal ID: ISSN 2405-8963

Grant/Contract Number:: AC52-06NA25396

Resource 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

Country of Publication:: United States

Language:: English

Subject:: 42 ENGINEERING; 97 MATHEMATICS AND COMPUTING; Mathematics

Citation Formats


                    Kundu, Soumya, and Anghel, Marian. Distributed Coordinated Control of Large-Scale Nonlinear Networks.  United States: N. p., 2015. 
Web.  doi:10.1016/j.ifacol.2015.10.337.

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                    Kundu, Soumya, & Anghel, Marian. Distributed Coordinated Control of Large-Scale Nonlinear Networks.  United States.  https://doi.org/10.1016/j.ifacol.2015.10.337

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                    Kundu, Soumya, and Anghel, Marian. Sun .  
"Distributed Coordinated Control of Large-Scale Nonlinear Networks".  United States.  https://doi.org/10.1016/j.ifacol.2015.10.337.  https://www.osti.gov/servlets/purl/1221885.

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@article{osti_1221885,

  title        = {Distributed Coordinated Control of Large-Scale Nonlinear Networks},

  author       = {Kundu, Soumya and Anghel, Marian},

  abstractNote = {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.},

  doi          = {10.1016/j.ifacol.2015.10.337},

  journal      = {IFAC-PapersOnLine},

  number       = 22,

  volume       = 48,

  place        = {United States},

  year         = {Sun Nov 08 00:00:00 EST 2015},

  month        = {Sun Nov 08 00:00:00 EST 2015}

}

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