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Robust Adaptive Synchronization of Dynamic Networks With Varying Time Delay Coupling Using Variable Structure Control

[+] Author Affiliations
Vesna M. Ojleska

SS Cyril & Methodius University, Skopje, Macedonia

Dilek (Bilgin) Tükel

Dogus University, Istanbul, Turkey

Georgi M. Dimirovski

Dogus University, Istanbul, TurkeySS Cyril & Methodius University, Skopje, Macedonia

Paper No. DSCC2014-6264, pp. V003T40A005; 9 pages
doi:10.1115/DSCC2014-6264
From:
  • ASME 2014 Dynamic Systems and Control Conference
  • Volume 3: Industrial Applications; Modeling for Oil and Gas, Control and Validation, Estimation, and Control of Automotive Systems; Multi-Agent and Networked Systems; Control System Design; Physical Human-Robot Interaction; Rehabilitation Robotics; Sensing and Actuation for Control; Biomedical Systems; Time Delay Systems and Stability; Unmanned Ground and Surface Robotics; Vehicle Motion Controls; Vibration Analysis and Isolation; Vibration and Control for Energy Harvesting; Wind Energy
  • San Antonio, Texas, USA, October 22–24, 2014
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 978-0-7918-4620-9
  • Copyright © 2014 by ASME

abstract

The synchronization problem for a class of delayed complex dynamical networks via employing variable structure control has been explored and a solution proposed. The synchronization controller guarantees the state of the dynamical network is globally asymptotically synchronized to arbitrary state. The switching surface has been designed via the left eigenvector function of the system, and assures the synchronization sliding mode possesses stability. The hitting condition and the adaptive law for estimating the unknown network parameters have been used for designing the controller hence the network state hits the switching manifold in finite time. Two illustrative examples along with the respective simulation results are given, which employ the designed variable structure controllers.

Copyright © 2014 by ASME

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