Chaos control on the repeated game model in electric power duopoly

Abstract

The chaos control method combining feedback control with parameter variation is successfully applied to the dynamic repeated Cournot model in electric power duopoly. Stability control of the period-doubling bifurcation and unstable periodic orbits in the chaotic attractor of the discrete non-linear dynamic system is achieved using this method, and the numerical simulation results show that this control method is effective. In practice, by utilizing the sensitivity of the model to disturbance, electric power producers could apply a small perturbation to the chaotic system and induce a large influence on electric output in order to obtain desirable behaviour.

Keywords:

• Electric power market
• Repeated game model
• Feedback control
• Parameter variation

AMS Subject Classifications: :

• 65P20
• 74H65
• 93B52

Acknowledgements

This paper was presented at ICDVC-2006 (Second International Conference on Dynamics Vibration and Control). This study is supported by the National Natural Science Foundation of China (60641006).