中文摘要：

基于观察员的适应滑动模式的问题与易于输入非线性的变化时间的延期三角洲控制操作符系统被调查。这非线性的斜坡参数是无节制的。一条新奇适应控制法律被建立以便在州评价的空间的滑动表面能在一有限时间被到达。A 延期依赖者足够为错误系统和滑动模式动力学的 asymptotic 稳定性调节经由线性矩阵不平等(LMI ) 被导出。最后，一个模拟例子被举显示出建议方法的有效性和优点。

英文摘要：

The problem of observer-based adaptive sliding mode control of delta operator systems with time-varying delays subject to input nonlinearity is investigated. The slope parameters of this nonlinearity are unmeasured. A novel adaptive control law is established such that the sliding surface in the state-estimation space can be reached in a finite time. A delay-dependent sufficient condition for the asymptotic stability of both the error system and the sliding mode dynamics is derived via linear matrix inequality （LMI）. Finally, a simulation example is presented to show the validity and advantage of the proposed method.