Function projection synchronization control of uncertain single-mode laser Lorenz system

Based on the Lyapunov stability theory, the nonlinear feedback controller and parameter recognizer were designed with the adaptive control method. The uncertain single-mode laser Lorenz system is taken as the drive system and the uncertain Chen system as the response system in the design, which makes all the status variable of the response system to follow the chaotic path of the drive system strictly in function proportion, and recognizes all the uncertain parameters including unknown coefficients of nonlinear terms of the drive and response systems. The result obtained by the four-order RungeKutta simulation indicates the effectiveness and feasibility of the method, and proves that the function projection synchronization control can improve the performance of the secure communication.