Function Projective Synchronization Of Chaotic Systems Based On State Observer

Nonlinear state observer design has become an important research subject of the theory of nonlinear systems, state observer theory completely solve the state feedback on the performance of irreplaceable and non-physically implemented in contradictions. State against state observer design problem, also known as state reconstruction problem, which focuses on the target system can be implemented to obtain feedback estimation problem by observing systems can not directly measure the part of state variables. Chaos synchronization is a relatively new nonlinear hot research field, and designed to achieve the status of observer state vector observation of chaotic systems into a novel study chaos synchronization problem.Synchronization on current theory of chaotic systems function less projection, in particular access function projective synchronization, and how to further solve the problem of synchronization time lag study less chaotic state synchronization system under unpredictable conditions take. However, in the actual state of the synchronization process, often taking unpredictable or undetectable take part, and there are various inevitable time lag effects of these problems on the chaotic system synchronization will have a direct impact. This aspect makes the article state observer observer chaotic system to function projective synchronization of chaotic theory and application to have quite high research value based. This article contains the following:Observer-based synchronization, this paper studies chaotic systems observer function projective synchronization. For a class of chaotic systems, the use of the system can be directly measured variables to complete the reconstruction of the state vector design observer, not counting proposed Lyapunov proof method synchronization error approaches zero, the complete function projective synchronization research programs.Finally, based on the fourth-order runge-kutta method, the use of the Matlab numerical simulation to validate the effectiveness of the proposed method.Based on the above function projective synchronization of chaotic system state observer synchronous design method, there is a question of time delay chaos synchronization scheme of study. Complex dynamics present in the inevitable time lag phenomenon, aiming delay time is fixed constants and functions are designed for variable delay time delay systems state observer function projective synchronization. Final completion of the feasibility and effectiveness of numerical simulation shows that the above method Matlab Simulink modeling simulation based methods.