Design of Backstepping Controllers for Systems with Non-strict Feedback Form and Application to Chaotic Synchronization

摘要: Abstract In this paper, a method of synchronization two different chaotic systems with matched and mismatched perturbations are developed by utilizing adaptive backstepping control technique. Through simple slight modification traditional method, the proposed technique can be applied to variety whose dynamic equations not in so-called strict-feedback form. Perturbation estimator is utilized scheme reduce energy, each virtual input has mechanisms embedded adapt unknown upper bounds perturbation estimation errors. The property uniformly ultimately boundedness guaranteed when solving problems, numerical examples for demonstrating advantages feasibility also given.