earticle

영어

Parameter uncertainty of chaotic systems brings the complexity to the design of control law in many past research papers. In order to simplify the design of adaptive PID composite synchronous rule further and use the robust control method to deal with uncertainty conveniently, two kind of robust adaptive and nonlinear sliding mode synchronization algorithms are proposed for uncertain chaotic systems in this paper. The design strategy of the algorithm lies in using the boundedness of chaotic systems. The unknown information of driven system and response system is limited to be a given uncertainty range described by a bounded function. The robust adaptive controller is designed to complete synchronization. At last, it can be seen from the simulation that chaotic systems can achieve synchronization and eliminate the vibration phenomenon at the same time. The only disadvantage is that the precision of synchronization is limited by the control gain.