High Gain Observer Optimization Techniques-Based Synchronization for Nonlinear Chaotic Systems

摘要

The focus of this paper is on the design of high gain observer optimization techniques for the state synchronization of nonlinear perturbed chaotic systems. The main objective of the developed approaches concerns the state observer optimization design methods using proposed algorithms relevant to the optimal control synthesis. As a matter of fact, two extensive optimization criteria are proposed to calculate the observation gain and especially the setting parameter 0. Thereby, the developed criteria achieve a compromise between the correction term of the state observer and the observation error in the first one and the minimization of a cost functions, dealing with square errors between the master and the slave systems, in the second one. Numerical simulations on the unified perturbed chaotic system demonstrate the performances of the designed optimization approaches.