Distributed Coordinated Control of Large-Scale Nonlinear Networks

Journal Article · 08 November 2015 · IFAC-PapersOnLine

DOI: https://doi.org/10.1016/j.ifacol.2015.10.337 · OSTI ID:1221885

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

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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

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.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE
• Grant/Contract Number: AC52-06NA25396
• OSTI ID: 1221885
• Report Number(s): LA-UR--15-24524
• Journal Information: IFAC-PapersOnLine, Journal Name: IFAC-PapersOnLine Journal Issue: 22 Vol. 48; ISSN 2405-8963
• Publisher: ElsevierCopyright Statement
• Country of Publication: United States
• Language: English