Reduced-order adaptive sliding mode control for nonlinear switching semi-Markovian jump delayed systems

被引:57
作者
Jiang, Baoping [1 ,2 ]
Karimi, Hamid Reza [1 ]
Kao, Yonggui [3 ]
Gao, Cunchen [2 ]
机构
[1] Politecn Milan, Dept Mech Engn, I-20156 Milan, Italy
[2] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China
[3] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China
基金
中国国家自然科学基金;
关键词
Adaptive sliding mode control; Semi-Markovian jump systems; Mean-square exponential stability (MSES); Linear matrix inequalities (LMIs); LINEAR-SYSTEMS; STATE ESTIMATION; CONTROL DESIGN; STABILITY;
D O I
10.1016/j.ins.2018.10.054
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The problem of sliding mode control design for nonlinear switching semi-Markovian jump delayed systems is investigated in this paper. By choosing a linear switching surface function, we first derive reduced-order sliding mode dynamics; Then, the property of sliding mode dynamics with generally uncertain transition rates is analyzed by checking a set of new conditions; Further, an adaptive sliding mode control law is constructed to ensure the finite-time reaching condition. Finally, a practical example is provided to disseminate the effectiveness of the proposed method numerically. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码:334 / 348
页数:15
相关论文
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