Chattering-free discrete time integral sliding-mode control for systems with unmatched uncertainties

被引：0

作者：

Dong, Wen-Han ^{[1
]}

Ma, Zhen-Qiang ^{[1
]}

Xie, Wu-Jie ^{[1
]}

Ma, Jun ^{[1
]}

机构：

[1] Aeronautics and Astronautics Engineering Institute, Air Force Engineering University, Xi'an,710038, China

来源：

Kongzhi yu Juece/Control and Decision | 2015年 / 30卷 / 12期

关键词：

Boundary layer flow - Linear systems - Boundary layers - Linear matrix inequalities - Discrete time control systems - Sliding mode control - Robustness (control systems);

D O I：

10.13195/j.kzyjc.2014.1549

中图分类号：

学科分类号：

摘要：

A chattering-free integral sliding-mode control method is proposed for the discrete-time linear systems with unmatched uncertainties. Based on the linear matrix inequality (LMI) technique, a new switching function and a sliding-mode controller are proposed to minimize the effect of unmatched uncertainties, and the Lyapunov stability is proved. The saturation function is introduced to ensure that the system states move in a small neighborhood of the sliding surface as quasi-sliding motion. The boundary layer thickness of the saturation function is chosen to make sure the controller chattering-free with strong robustness. The results of theoretical analysis and simulation show the effectiveness of the proposed integral sliding-mode control scheme. © 2015, Northeast University. All right reserved.

引用

页码：2181 / 2186

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