自适应终端滑模控制不确定混沌系统的同步

Synchronization of Chaotic Systems with Uncertainty Using an Adaptive Terminal Sliding Mode Controller

基于终端滑模控制和自适应控制,研究了具有不确定性和外部扰动的两个金融混沌系统的同步问题。首先,设计了非奇异终端滑模面,保证误差系统沿着滑模面在有限时间内稳定至平衡点;然后,针对系统中不确定性和外部扰动的界事先未知的情况,设计了自适应控制律,在线估计未知界,并使得同步误差轨迹能到达滑模面;最后,数值仿真结果说明所给方法是有效的。

The synchronization problem between two financial chaotic systems with uncertainties and disturbances is investigated based on terminal sliding mode control and adaptive control. First, a new non-singular terminal sliding surface is introduced to guarantee finite-time convergence to the equilibrium of the error dynamics in the sliding mode. Then, for the case that the bounds of the uncertainties and external disturbances are assumed to be unknown in advance, an adaptive control law is proposed to online estimate the unknown bounds, and to force the trajectory of the synchronization error system onto the sliding surface. Finally, simulation results are presented to illustrate the effectiveness of the design.