中文摘要：

首次利用三角系统结构来研究混沌系统的控制问题。通过适当的变换，将混沌系统转化为三角系统。然后，基于三角系统的理论，研究了混沌系统的控制问题：镇定，同步，反同步，并用后步法设计了相应的控制器。最后，数值仿真结果验证了该方法的正确性和有效性。

英文摘要：

It is the first time to investigate the control problems of chaotic systems based on triangle system form.Firstly,a chaotic system can be transferred into triangle system by an appropriate coordinate conversion.Secondly,the control problems of such system：stabilization,synchronization,anti-synchronization are investigated by the theorems of the triangle system,and the corresponding controllers are designed by the back-stepping method. Finally,numerical simulation results verify the correctness and effectiveness of the obtained results.