Adaptive synchronization of chaotic systems via linear balanced feedback control

Synchronization of a chaotic rigid body system via adaptive linear balanced feedback control is investigated in this paper. Firstly, we obtain feedback gains by linear feedback control scheme based on Lyapunov stability theory and constrained extreme strategy. Next, using the result of the analysis, an adaptive linear balanced feedback controller is designed for chaos synchronization. The proposed scheme can be implemented without requiring the upper bound of the trajectory of a chaotic system in advance. Numerical simulations are provided to verify the effectiveness and feasibility of the designed synchronization schemes.