Non-fragile observer-based H∞ finite-time sliding mode control

被引：4
|
作者：
Zhang, Lihua [1 ]
Zhou, Yaoyao [1 ]
Qi, Wenhai [1 ,2 ]
Cao, Jinde [3 ,4 ]
Cheng, Jun [5 ]
Wei, Yunliang [6 ]
Yan, Xiaoyu [7 ]
Li, Shaowu [8 ]
机构：
[1] Qufu Normal Univ, Sch Engn, Rizhao 276826, Peoples R China
[2] Linyi Univ, Sch Automat & Elect Engn, Linyi 276005, Shandong, Peoples R China
[3] Southeast Univ, Jiangsu Prov Key Lab Networked Collect Intelligen, Nanjing 211189, Peoples R China
[4] Southeast Univ, Sch Math, Nanjing 211189, Peoples R China
[5] Guangxi Normal Univ, Coll Math & Stat, Guilin 541006, Peoples R China
[6] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[7] Southwest Petr Univ, Sch Elect Engn & Informat, Chengdu 610500, Peoples R China
[8] Hubei Minzu Univ, Sch Informat Engn, Enshi 445000, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 375卷
基金：
中国国家自然科学基金;
关键词：
Sliding mode control; Finite-time boundedness; Uncertain system; MARKOVIAN JUMP SYSTEMS; STOCHASTIC-SYSTEMS; LINEAR-SYSTEMS; SWITCHING SYSTEMS; STABILIZATION; UNCERTAINTIES; SUBJECT; DESIGN;
D O I：
10.1016/j.amc.2020.125069
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
H-infinity finite-time control for uncertain system with the unmeasurable state via the sliding mode control (SMC) approach is discussed in this article. Our attention is to design an appropriate finite-time SMC law to attenuate the influences of parametrical uncertainty and external disturbance. First, an appropriate non-fragile observer-based finite-time SMC law is designed such that the state trajectories can arrive at the specified sliding surface during the finite-time interval. Then, finite-time boundedness (FTBs) is well implemented by partitioning strategy and sufficient conditions are given to realize FTBs for the augment system with H-infinity performance. Next, the controller gain and observer gain are obtained by solving the corresponding linear matrix inequalities (LMIs). Finally, a RLC series circuit shows the effectiveness of the proposed SMC approach. (C) 2020 Elsevier Inc. All rights reserved.
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页数：13
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