Global Adaptive Stabilization and Tracking Control for High-Order Stochastic Nonlinear Systems With Time-Varying Delays

被引：82

作者：

Xue, Lingrong ^{[1
]}

Zhang, Tianliang ^{[2
]}

Zhang, Weihai ^{[1
]}

Xie, Xue-Jun ^{[3
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Elect Engn & Automat, Qingdao 266590, Peoples R China

[2] South China Univ Technol, Sch Automat Sci & Engn, Guangzhou 510641, Guangdong, Peoples R China

[3] Qufu Normal Univ, Inst Automat, Qufu 273165, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2018年 / 63卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Adaptive stabilization; adaptive tracking control; stochastic nonlinear system; time-varying delay; STATE-FEEDBACK STABILIZATION; HOMOGENEOUS DOMINATION APPROACH; OUTPUT-FEEDBACK; PARAMETERIZED SYSTEMS; DEAD-ZONE; INPUT; RAZUMIKHIN; APPROXIMATION; STABILITY; DESIGN;

D O I：

10.1109/TAC.2018.2797169

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 discusses adaptive control problems of high-order stochastic nonlinear time-delay systems. Compared with the existing results, the considered system involves uncertain parameters, intricate stochastic drift terms, and unknown time-varying delays. Based on a modified method of adding a power integrator and Lyapunov-Krasoviskii functional technique, new controllers are successfully constructed to achieve the objectives of adaptive stabilization and adaptive tracking, respectively. Examples are given to show the effectiveness of the proposed control strategies.

引用

页码：2928 / 2943

页数：16

共 51 条

[1] Compensation of State-Dependent Input Delay for Nonlinear Systems [J].

Bekiaris-Liberis, Nikolaos ;

Krstic, Miroslav .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (02) :275-289

[2] Compensation of Time-Varying Input and State Delays for Nonlinear Systems [J].

Bekiaris-Liberis, Nikolaos ;

Krstic, Miroslav .

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2012, 134 (01)

[3] Delay-Adaptive Control for Nonlinear Systems [J].

Bresch-Pietri, Delphine ;

Krstic, Miroslav .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (05) :1203-1218

[4] Adaptive control scheme for uncertain time-delay systems [J].

Bresch-Pietri, Delphine ;

Chauvin, Jonathan ;

Petit, Nicolas .

AUTOMATICA, 2012, 48 (08) :1536-1552

[5] Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints [J].

Chen, Mou ;

Ge, Shuzhi Sam ;

Ren, Beibei .

AUTOMATICA, 2011, 47 (03) :452-465

[6] State-feedback stabilization for a class of stochastic time-delay nonlinear systems [J].

Chen, Weisheng ;

Wu, Jian ;

Jiao, L. C. .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2012, 22 (17) :1921-1937

[7] Adaptive NN Backstepping Output-Feedback Control for Stochastic Nonlinear Strict-Feedback Systems With Time-Varying Delays [J].

Chen, Weisheng ;

Jiao, Licheng ;

Li, Jing ;

Li, Ruihong .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2010, 40 (03) :939-950

[8] Output-feedback stabilization of stochastic nonlinear systems driven by noise of unknown covariance [J].

Deng, H ;

Krstic, M .

SYSTEMS & CONTROL LETTERS, 2000, 39 (03) :173-182

[9] Stochastic nonlinear stabilization .1. A backstepping design [J].

Deng, H ;

Krstic, M .

SYSTEMS & CONTROL LETTERS, 1997, 32 (03) :143-150

[10] State feedback stabilization for a class of stochastic time-delay nonlinear systems [J].

Fu, YS ;

Tian, ZH ;

Shi, SJ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (02) :282-286

← 1 2 3 4 5 6 →