Implicit Discrete-Time Terminal Sliding Mode Control for Second-Order Systems
Implicit Discrete-Time Terminal Sliding Mode Control for Second-Order Systems
复制标题
二阶系统的隐式离散时间终端滑模控制
DOI：
10.1109/tcsii.2021.3053318
复制
发表时间：
2021-07
影响因子：
4.4
通讯作者：
Yunjiang Lou
中科院分区：
文献类型：
--
作者：
Xiaogang Xiong;Yinghao Chu;Arun Dayal Udai;Shyam Kamal;Shanhai Jin;Yunjiang Lou
终端滑模控制（Terminal滑模Control，TSMC）的主要问题之一是离散化过程中产生的严重数值抖振，严重影响了控制性能。本文提出了两种基于隐式欧拉方法的二阶TSMC的实现方案。第一种方法通过求解滑移面的非线性方程，将TSMC视为一阶滑模。后者将二阶TSMC视为嵌套的符号函数，而无需求解非线性方程。两种方案都减小了数值抖振的幅度，而第二种方案在到达离散时间滑动面后完全消除了数值抖振。所提出的两种新的实现方式具有更高的控制性能，在较小的稳态控制误差。通过与传统的TSMC实现相比，在存在模型不确定性的情况下，通过降压转换器电路系统证明了所提出的方案的这些优点。
One of the main problems of terminal sliding mode control (TSMC) is the severe numerical chattering caused by its discretization during the discrete-time realization, which significantly deteriorates the control performances. This brief proposes two novel realization schemes for the second-order TSMC based on implicit Euler methods. The first one treats the TSMC as the first-order SMC by solving the nonlinear equation of sliding surface. The latter one treats the second-order TSMC as nested signum functions without solving the nonlinear equation. Both schemes reduce the magnitude of numerical chattering while the second one totally remove the numerical chattering after attaining on the discrete-time sliding surface. The proposed two novel realizations have higher control performances in term of smaller control errors of steady state. These advantages of the proposed schemes are demonstrated through a buck converter circuit system in the presence of model uncertainties by comparing to the conventional implementations of TSMC.