混沌系统的快速收敛有限时间滑模自适应控制

Fast Convergence Finite Time Sliding Mode Adaptive Control for Chaotic System

在分析传统终端滑模面的基础上,构造了一种新的指数型终端滑模面。新的滑模面比传统滑模控制同步具有更小的同步时间。考虑到系统外界扰动等不确定性,在假设不确定性上界已知的条件下,设计同步控制器,进而给出了带有未知上界参数估计的自适应律,最终给出了一种新的终端滑模自适应控制器。通过对多涡卷混沌系统的同步仿真,验证了该方法的有效性。

On the basis of analysis of traditional sliding mode surface, a new exponential terminal sliding mode control is structured. Comparing with traditional sliding mode control, the new control offers shorter synchronous time. Considering the uncertainty of external disturbance, and assuming the upper boundary of the uncertainty is known, the synchronous controller is designed. Then, the adaptive law of unknown upper boundary parameter estimation are given, and a new terminal sliding mode adaptive controller is given. The effectiveness of the method has been verified by synchronous simulation of multiple scroll chaotic system.