The efficient control of nonlinear processes is generally considered to be challenging. The development of digital computers promotes the study of nonlinear process control technology. Due to the discrete sampling of digital computer, it is necessary to develop the corresponding control algorithms for nonlinear processes. In this paper, a new equivalent control-based discrete-time sliding mode control is proposed for a class of nonlinear process with uncertainty and external disturbance. An adaptive law and a disturbance observer are designed to estimate the uncertainty and the disturbance, respectively. By combining with them, the new discrete-time sliding mode control is developed with good performance. The corresponding theoretical analysis is well verified by using Lyapunov function. Finally, the proposed approach is demonstrated by case studies in light of MATLAB.

中文翻译：

---

一类非线性过程的离散滑模控制

通常认为非线性过程的有效控制具有挑战性。数字计算机的发展促进了非线性过程控制技术的研究。由于数字计算机的离散采样，有必要为非线性过程开发相应的控制算法。针对一类具有不确定性和外部干扰的非线性过程，提出了一种新的基于等效控制的离散时间滑模控制方法。设计了自适应定律和扰动观测器以分别估计不确定性和扰动。通过与它们的组合，新的具有良好性能的离散时间滑模控制得以开发。使用李雅普诺夫函数可以很好地验证相应的理论分析。最后，