Observer-Based Synchronization for Laser Systems

This paper on observers of chaotic systems is comparatively poor. There are no systematic design methods and current methods are difficult to deal with uncertainties. To solve these problems, a robust observer based on radial basis function neural network (RBF NN) is proposed. This design divides the system into linear and nonlinear parts and describes them as the addition of nominal part and uncertain part. The RBF NN estimates the uncertainties, and the choice of observer gain is required to satisfy the Lyapunov equation, which avoids the strictly positive real condition. The proposed method improves the robust performance of observer by robust control method at the same time. Finally, to solve the problem that the laser synchronization control only depends on the photon number at present, an observer is designed to estimate the electron-hole pair number, and the integration design method of the observer and controller is put forward for the first time. The asymptotical convergence of synchronization errors is proved by Taylor expansion. The simulations verify the superiority of the proposed scheme.