关键词: 滑模控制, 高频, 高增益, Lyapunov函数

Abstract: We studied the robust control problem of three-dimensional Coullet system. Firstly, the complex dynamic behavior of the system was verified by drawing the time domain waveform, chaotic attractor and Lyapunov exponent diagram of the system. Secondly, the sliding mode control method, the sliding mode based high frequency robust control method and the high gain robust control method were used to design the controller and control the system. Finally, the effectiveness of the controller was verified by numerical simulation.

Key words: sliding mode control, high frequency, high gain, Lyapunov function