This paper introduces a new, reference trajectory following, sliding-mode control strategy for disturbed discrete-time systems. The strategy uses an external trajectory generator based on a switching type reaching law. The trajectory following strategy not only ensures all the properties of the quasi-sliding-mode as defined by Gao et al., but with a certain choice of the control parameters it also guarantees a significant reduction of the quasi-sliding-mode band width and the errors of all the state variables. This paper also considers the problem of error calculation in the discrete-time, reaching law based sliding-mode control systems. It is shown that the limitation of the sliding variable in the sliding phase directly results in bounded errors of all state variables. The results are verified with a simulation example.

中文翻译：

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具有所需开关变量发生器的离散时间滑动模式控制

本文介绍了一种用于受干扰离散时间系统的新的参考轨迹跟踪滑模控制策略。该策略使用基于切换类型到达定律的外部轨迹生成器。轨迹跟随策略不仅保证了 Gao 等人定义的准滑模的所有特性，而且通过一定的控制参数选择，它还保证了准滑模带宽的显着减小和所有状态变量的误差。本文还考虑了离散时间的误差计算问题，达到了基于规律的滑模控制系统。结果表明，滑动阶段滑动变量的限制直接导致所有状态变量的有界误差。通过仿真实例验证了结果。