Self-Optimized Nonlinear PID Controller for Networked Chaotic Systems to Synchronize onto Arbitrary Orbit
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.
G. Q. Liu and X. M. Xu, "Self-Optimized Nonlinear PID Controller for Networked Chaotic Systems to Synchronize onto Arbitrary Orbit", Applied Mechanics and Materials, Vols. 128-129, pp. 998-1005, 2012