Self-Optimized Nonlinear PID Controller for Networked Chaotic Systems to Synchronize onto Arbitrary Orbit

Abstract:

Synchronization onto arbitrary orbit for diffusively coupled complex networks is of great application value and was investigated in this paper especially when nodes are chaotic systems. A decentralized nonlinear PID controller was proposed for this purpose. The controller was designed with assistance of associated feedback system of the network. A particle swarm style self-optimization algorithm was provided to find the optimal parameter of the controller online with IAE performance index. Finally a networked Chen system was given to be controlled to track sine wave, square wave and triangular wave simultaneously as the example to verify the method presented.

• Periodical: Applied Mechanics and Materials (Volumes 128-129)
• Pages: 998-1005
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.128-129.998
• Online since: October 2011
• Authors: Ge Qun Liu, Xiao Ming Xu
• Keywords: Chaos, Complex Network, PID Controller, Self-Optimization, Synchronization

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