Normalisation design for delayed singular Markovian jump systems based on system transformation technique

被引：15
|
作者：
Zhuang, Guangming [1 ]
Xia, Jianwei [1 ]
Zhang, Weihai [2 ]
Sun, Wei [1 ]
Sun, Qun [3 ]
机构：
[1] Liaocheng Univ, Sch Math Sci, Liaocheng, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Elect Engn & Automat, Qingdao, Peoples R China
[3] Liaocheng Univ, Sch Mech & Automot Engn, Liaocheng, Peoples R China
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2018年 / 49卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Singular Markovian jump systems; normalisation; proportional and derivative state feedback; time-varying delayed systems; system transformation technique; SLIDING MODE CONTROL; H-INFINITY CONTROL; STABILITY ANALYSIS; TIME-DELAY; NEURAL-NETWORKS; STOCHASTIC-SYSTEMS; STABILIZATION;
D O I：
10.1080/00207721.2018.1463411
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 deals with the problem of normalisation and stabilisation for time-varying delayed singular Markovian jump systems by virtue of proportional-derivative state feedback control. Based on the system transformation technique, the normalisation problem of singular systems is changed into the stabilisation problem of the augmented singular systems. Sufficient conditions are provided in terms of linear matrix inequalities by constructing mode-dependent and delay-dependent Lyapunov-Krasovskii functional. Simulation examples including an oil catalytic cracking process are utilised to verify the effectiveness and usefulness of the proposed method.
引用
收藏
页码：1603 / 1614
页数：12
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