Sliding mode control for fractional-order time-varying delay systems under external excitation

被引：2

作者：

Shi, Xianzeng ^{[1
,2
]}

Jin, Yitong ^{[1
]}

Zhou, Xingde ^{[1
]}

Wang, Chunxiu ^{[1
]}

机构：

[1] Hohai Univ, Coll Civil & Transportat Engn, Xikang Rd 1, Nanjing 210098, Peoples R China

[2] Anhui Jianzhu Univ, Coll Civil Engn, Hefei, Peoples R China

来源：

JOURNAL OF VIBRATION AND CONTROL | 2023年 / 29卷 / 7-8期

基金：

中国国家自然科学基金;

关键词：

Fractional-order control; caputo fractional derivative; linear quadratic regulator; sliding mode control; time-varying delay; STABILITY; DESIGN; 2ND-ORDER; FLOW;

D O I：

10.1177/10775463211069201

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

In this paper, by using Lyapunov-Krasovskii stability theory and linear matrix inequality approach, the control problem for fractional-order systems under seismic waves with time-varying delays is studied. A novel switching surface is proposed. Based on the linear quadratic regulator and sliding mode control, some sufficient conditions are derived to ensure the fractional system under control. Mittag-Leffler stability theorem is adopted to prove that the switching surface could converge to zero. Finally, a numerical simulation example is provided to validate the advantages and effectiveness of the proposed results.

引用

页码：1713 / 1725

页数：13

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