不确定混沌系统的无抖振滑模控制

Chatter Free Sliding Mode Control of Uncertain Chaotic Systems

研究了具有模型不确定性和外界干扰的混沌系统的无抖振滑模控制问题.基于Lyapunov稳定性理论和滑模变结构控制方法,设计了动态滑模面和自适应滑模控制器,使得受控混沌系统能追踪任意参考信号.该方法能有效地消除滑模控制的抖振现象,具有较强的鲁棒性和通用性.数值仿真实验表明了该方案的有效性.

The chatter free sliding mode control of chaotic system with model uncertainties and external perturbation was discussed. Based on Lyapunov stability theory and sliding mode variable structure con- trol method, a dynamical sliding mode surface and an adaptive sliding mode controller were designed, by which the controlled chaotic system could track arbitrarily desired trajectory asymptotically. The control method could eliminate the chattering phenomenon, so it had strong robustness and versatility. Numerical simulations illustrated the effectiveness of the proposed controller.