Integral sliding mode control for fractional-order systems with mismatched uncertainties

被引：43
|
作者：
Gao, Zhe [1 ]
Liao, Xiaozhong [1 ]
机构：
[1] Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China
来源：
NONLINEAR DYNAMICS | 2013年 / 72卷 / 1-2期
关键词：
Fractional-order systems; Integral sliding mode; LMI; Mismatched uncertainties; Robustness; SYNCHRONIZATION; APPROXIMATION; PI;
D O I：
10.1007/s11071-012-0687-5
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper presents the integral sliding mode control for fractional-order systems with input disturbance and mismatched uncertainties. For fractional-order systems with the fractional order alpha satisfying 0 <alpha < 1 and 1 <alpha < 2, two theorems are proposed to design the stable integral sliding mode surfaces by the LMI conditions and the properties of the Kronecker product, respectively. Moreover, the integral sliding mode control is designed to eliminate the reaching stage for enhancing the robustness of fractional-order systems. Two examples are given to verify the effectiveness of the proposed methods.
引用
收藏
页码：27 / 35
页数：9
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