Improved Results on Asymptotic Stabilization for Stochastic Nonlinear Time-Delay Systems With Application to a Chemical Reactor System

被引：92

作者：

Liu, Liang ^{[1
,2
]}

Yin, Shen ^{[1
,3
]}

Zhang, Lixian ^{[3
,4
]}

Yin, Xunyuan ^{[5
]}

Yan, Huaicheng ^{[4
,6
]}

机构：

[1] Bohai Univ, Coll Engn, Jinzhou 121013, Peoples R China

[2] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China

[3] Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150001, Peoples R China

[4] Harbin Inst Technol, State Key Lab Robot & Syst, Harbin 150080, Peoples R China

[5] Univ Alberta, Dept Chem & Mat Engn, Edmonton, AB T6G 1H9, Canada

[6] East China Univ Sci & Technol, Sch informat Sci & Engn, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai 200237, Peoples R China

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2017年 / 47卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Chemical reactor system; globally asymptotically stable (GAS) in probability; parameter-dependent controller; stochastic nonlinear systems; time-varying delay; OUTPUT-FEEDBACK STABILIZATION; H-INFINITY CONTROL; HOMOGENEOUS DOMINATION APPROACH; BACKSTEPPING CONTROLLER-DESIGN; STATE-FEEDBACK; GLOBAL STABILIZATION;

D O I：

10.1109/TSMC.2016.2608799

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 global asymptotic stabilization problem is investigated for a class of stochastic nonlinear time-varying delay systems under the weaker condition on nonlinear functions. The new parameter-dependent state and output feedback controllers are, respectively, proposed. Based on the stochastic time-delay system stability criterion, by tactfully introducing a suitable Lyapunov-Krasovskii functional, the globally asymptotically stable in probability of the closed-loop system is guaranteed by rigorous proof. As a practical application, the stochastic model of a two-stage chemical reactor system is established by reasonably introducing the Gaussian white noise. The developed approach is applied to the control design for this practical system. The simulation results demonstrate the efficiency of the proposed design approach.

引用

页码：195 / 204

页数：10

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