Finite-time Sliding Mode Control Design for a Class of Uncertain Conic Nonlinear Systems

被引：44
|
作者：
He, Shuping [1 ]
Song, Jun [1 ]
机构：
[1] Anhui Univ, Sch Elect Engn & Automat, Hefei 230601, Anhui, Peoples R China
来源：
IEEE-CAA JOURNAL OF AUTOMATICA SINICA | 2017年 / 4卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Conic nonlinear system; finite-time boundedness (FTB); sliding mode control (SMC); state-feedback; LINEAR-SYSTEMS; STOCHASTIC-SYSTEMS; ROBUST-CONTROL; DELAY SYSTEMS; STABILIZATION; STABILITY; SUBJECT; DISTURBANCES; LMI;
D O I：
10.1109/JAS.2017.7510643
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper studies the sliding mode controller design problems for a class of nonlinear system. The nonlinear function is considered to satisfy conic-type constraint condition. A novel finite-time boundedness (FTB) based sliding mode controller design theory is proposed. And then a sufficient condition is obtained in terms of linear matrix inequalities (LMIs), which guarantees the resulted sliding mode dynamics to be FTB wrt some predefined scalars. Thereafter, a FTB-based sliding mode control (SMC) law is synthesized to ensure the state of the controlled system is driven into a novel desired switching surface s (t) = c (c is a constant) in a finite time. Simulation results illustrate the validity of the proposed FTB-based SMC design theory.
引用
收藏
页码：809 / 816
页数：8
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