Almost sure stability of second-order nonlinear stochastic system with Levy noise via sliding mode control

被引：13

作者：

Li, Mengling ^{[1
]}

Deng, Feiqi ^{[1
]}

Liu, Xinzhi ^{[2
]}

机构：

[1] South China Univ Technol, Sch Automat Sci & Engn, Guangzhou 510640, Guangdong, Peoples R China

[2] Univ Waterloo, Dept Appl Math, Waterloo, ON, Canada

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2019年 / 29卷 / 17期

基金：

中国国家自然科学基金;

关键词：

almost sure stability; Levy noise; sliding mode control; stochastic system; STABILIZATION; DESIGN;

D O I：

10.1002/rnc.4707

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 almost sure stability of second-order nonlinear stochastic system with Levy noise is studied by sliding mode control method. A conventional linear sliding mode surface is first constructed, by employing stochastic analysis technique combined with Lyapunov function method, sufficient conditions are established to ensure the almost sure stability of the system dynamics. Then, a nonsingular terminal sliding mode control technique is used for our system, corresponding controller is designed to guarantee the desired performance. Finally, two examples are given to show the validity of our results.

引用

页码：6053 / 6063

页数：11

共 32 条

[1] Continuous finite-time stabilization of the translational and rotational double integrators [J].

Bhat, SP ;

Bernstein, DS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (05) :678-682

[2] A NONLINEAR H-INFINITY CONTROL DESIGN IN ROBOTIC SYSTEMS UNDER PARAMETER PERTURBATION AND EXTERNAL DISTURBANCE [J].

CHEN, BS ;

LEE, TS ;

FENG, JH .

INTERNATIONAL JOURNAL OF CONTROL, 1994, 59 (02) :439-461

[3] An explicit formula of linear sliding surfaces for a class of uncertain dynamic systems with mismatched uncertainties [J].

Choi, HH .

AUTOMATICA, 1998, 34 (08) :1015-1020

[4] Lyapunov-Designed Super-Twisting Sliding Mode Control for Wind Energy Conversion Optimization [J].

Evangelista, C. ;

Puleston, P. ;

Valenciaga, F. ;

Fridman, L. M. .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2013, 60 (02) :538-545

[5] Sliding-Mode Robot Control With Exponential Reaching Law [J].

Fallaha, Charles J. ;

Saad, Maarouf ;

Kanaan, Hadi Youssef ;

Al-Haddad, Kamal .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2011, 58 (02) :600-610

[6] On nonsingular terminal sliding-mode control of nonlinear systems [J].

Feng, Yong ;

Yu, Xinghuo ;

Han, Fengling .

AUTOMATICA, 2013, 49 (06) :1715-1722

[7] Variable Gain Super-Twisting Sliding Mode Control [J].

Gonzalez, Tenoch ;

Moreno, Jaime A. ;

Fridman, Leonid .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (08) :2100-2105

[8]

Imzegouan C., 2019, Int J Dyn Control, V7, P547, DOI [10.1007/s40435-018-0451-x, DOI 10.1007/S40435-018-0451-X]

[9] Privacy-Preserving Traffic Monitoring with False Report Filtering via Fog-Assisted Vehicular Crowdsensing [J].

Li, Meng ;

Zhu, Liehuang ;

Lin, Xiaodong .

IEEE TRANSACTIONS ON SERVICES COMPUTING, 2021, 14 (06) :1902-1913

[10] Moment exponential input-to-state stability of non-linear switched stochastic systems with Levy noise [J].

Li, Mengling ;

Deng, Feiqi .

IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (09) :1208-1215

← 1 2 3 4 →