针对离散线性时滞系统,设计了最优滑模面和最优离散变结构控制律.在设计最优滑模面的过程中,利用逐次逼近算法,将既含有时滞项又含有超前项的两点边值问题转化为不含时滞项和超前项的线性两点边值问题,并证明了其解序列一致收敛于原系统的最优滑模.进一步给出了原系统的变结构控制律. For the discrete linear time-delay system, the optimal sliding mode and the optimal discrete variable structure control law are designed. In the process of designing the optimal sliding mode surface, using the successive approximation algorithm, The two-point boundary value problem is transformed into a linear two-point boundary value problem without time-delay terms and prior items, and its optimal solution is proved to be convergent to the optimal sliding mode of the original system. The variable structure control law.