研究了在状态不可测,并且状态参数和控制输入矩阵同时存在不确定性的情况下,不确定输入时滞系统的滑模控制问题.为了有效克服不确定性和时滞对系统稳定性的影响,在状态估计空间选择了一种积分型的切换函数,设计了一种基于状态观测器的滑模控制器,并证明了所设计切换面的可达性.通过李亚普诺夫理论,给出了闭环系统渐近稳定的充分条件.数值仿真验证了算法的有效性.
The problem of sliding mode control for time-delay systems with uncertain input is studied in the presence of unmeasurable states and the uncertainties of state parameters and control input matrix. In order to overcome the effects of uncertainties and time-delay on system stability, an integral switching function is chosen in the space of state estimation, and then a sliding mode controller based on state observer is proposed. The Teachability of the designed switching surface is proved. A sufficient condition is derived based on Lyapunov theory to guarantee the asymptotical stability of the closed-loop system. A numerical simulation verifies the effectiveness of the proposed method.