通用标量混沌信号同步系统及其控制器的backstepping设计

以寻求通用标量混沌信号同步系统为目标,虚拟控制项加权为变量的严格反馈形式变参数系统为对象,采用带有调谐函数的自适应backstepping设计方法,设计了反馈控制器和相应的参数自适应律.采用所给控制器和参数自适应律,可以使通用系统的输出渐近同步于任意已知结构混沌系统的输出.理论与计算机仿真结果均证实了通用标量混沌信号同步系统及其控制器的有效性. 关键词： 混沌 严格反馈 backstepping设计 自适应控制

A general scalar chaotic signal synchronization system and its controller via backstepping design

A general scalar chaotic signal synchronization system is proposed in this paper. For the system in the “strict-feedback" form with variant parameters and variant weights of artificial control terms, a feedback controller and associated parameter adaptive laws are constructed via adaptive backstepping design with tuning functions. Using the controller and parameter adaptive laws proposed in this paper, the output of the general system asymptotically synchronizes with the output of any chaotic system with a known structure. Both theory analysis and computer simulation results illustrate the validity of the general scalar chaotic signal synchronization system and its controller.