Controller Design For Realizing A Class Of Chaotic Systems Synchronization

In this paper, the approach of controller design for realizing a class of chaotic systems synchronization is studied.The main content is:(1) The object is a typical chaotic system.To realize the chaotic systems synchronization with identical or different structure,we design controllers using three methods respectively under the given chaotic systems.The theoretical proof and simulation prove that the designed controller can achieve self-synchronization and different-structure synchronization effectively.After that, the three controllers are analyzed from the aspects of the chaotic systems,the information of the given systems,the applicability of the proposed controllers,and so on.Then the problem of "one project and one discussion" is indicated,and the problem-solving orientation is pointed out.(2)According to the controller design approach for specific chaotic systems can't solve the universal problem,the paper focuses on controller design methods for realizing generalized synchronization between different-dimensions chaotic systems.The given methods can construct responsing system whose dimension is not less than the driving system and the two chaotic systems can realize generalized synchronization.The solution is suitable for a class of chaotic systems.Based on the pole-placement principle,the synchronous speed can be regulated artificially,and the synchronization performance can be improved by changing the feed gain. The problem of state variables not fully observable is solved by nonlinear state observer.The theoretical proof and computer simulation satisfy the effectiveness of the designed controller.(3)To solve the optimun selection problem of general controller feedback gain and unkown parameter adjustment,the nonlinear-state adaptive controller is studied. When the systme's nonlinear term meet certain sonditions,whatever the state is,the chaotic systems can achieve generalized synchronization.The design of the adaptive law can adjust the parametes error on-line,so the responsing system and the driving system can realize synchronization effectively. The theoretical proof and simulation results indicate that the methods are robustness and effectiveness.