针对一类不确定混沌系统设计了基于快速模糊干扰观测器的鲁棒terminal滑模控制方案.首先通过设计快速模糊干扰观测器,克服了传统模糊干扰观测器在误差较小时收敛速度慢的缺点.然后严格证明了在存在未知干扰和不确定的情况下,同步误差及观测器误差均在有限时间内收敛到非常小的区域.最后对Duffing-Holmes混沌系统进行仿真,结果表明了所设计干扰观测器的优越性和闭环控制方案的有效性.
A novel robust terminal sliding mode control based on fast fuzzy disturbance observer is designed for a class of chaotic systems with uncertainties.To deal with the shortcoming of slow learning of traditional fuzzy disturbance observer when the approximation errors are very small,a fast fuzzy disturbance observer is designed which improves the learning speed.It is rigorously proved that the synchronization error and approximation error converge to very small values in finite time.Finally,simulation results of the Duffing-Holmes chaotic system demonstrate the effectiveness of the presented closed-loop control scheme.