基于反步法的异结构混沌系统Q-S同步

基于反步法,提出了扩展Liu混沌系统和Genesio混沌系统的Q-S同步方法.反步法降低了控制器的设计难度,易于求取误差系统的Lyapunov函数.设计了单驱动器和多驱动器两种控制器结构,同步控制器结构均比以往的异结构同步控制器有所简化.仿真结果验证了两种控制器均能实现扩展Liu混沌系统和Genesio系统的Q-S同步,并且多驱动器结构更简单,同步速度快,动态过程误差小.基于反步法的Q-S同步方法可以推广到其他的异结构混沌系统同步控制中.

Q-S synchronization of diverse structure chaotic systems based on backstepping method

The Q-S synchronization method based on backstepping is proposed to synchronize extended Liu chaotic systems and Genesio chaotic systems.The difficulty of constructing synchronization controllers is decreased by backstepping methods,so it is easy to solve the Lyapunov functions of error systems.The single driving controller and multi-driving controller are designed,which are simpler than those controllers in previous articles.Simulation results show that both these controllers can achieve the Q-S synchronization of extended Liu chaotic systems and Genesio systems.Moreover the multi-driving controller has simpler structure and can synchronize systems rapidly with smaller error values in dynamic process.the Q-S synchronization method based on backstepping can also be extended to synchronize other diverse structure chaotic systems.