GLOBAL OUTPUT-FEEDBACK FINITE-TIME STABILIZATION FOR A CLASS OF STOCHASTIC NONLINEAR CASCADED SYSTEMS

被引：5
作者：
Lan, Qixun [1 ]
Niu, Huawei [2 ]
Liu, Yamei [1 ]
Xu, Huafeng [1 ]
机构：
[1] Henan Univ Urban Construct, Sch Math & Phys, Pingdingshan 467036, Peoples R China
[2] Pingdingshan Inst Educ, Sch Math, Pingdingshan 467000, Peoples R China
来源：
KYBERNETIKA | 2017年 / 53卷 / 05期
基金：
中国国家自然科学基金;
关键词：
stochastic nonlinear systems; cascaded systems; output-feedback stabilization; finite-time control; MULTIAGENT SYSTEMS; STABILITY; CONTROLLER; DESIGN; FORM;
D O I：
10.14736/kyb-2017-5-0780
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the problem of global finite-time stabilization via output-feedback is investigated for a class of stochastic nonlinear cascaded systems (SNCSs). First, based on the adding a power integrator technique and the homogeneous domination approach, a global output feedback finite-time control law is constructed for the driving subsystem. Then, based on homogeneous systems theory, it is shown that under some mild conditions the global finite time stability in probability of the driving subsystem implies the global finite-time stability in probability of the whole SNCS. Finally, a simulation example is given to illustrate the effectiveness of the proposed control design approach.
引用
收藏
页码：780 / 802
页数：23
相关论文
共 38 条
[1]   A Lyapunov's direct method for the global robust stabilization of nonlinear cascaded systems [J].
Chen, Zhiyong ;
Huang, Jie .
AUTOMATICA, 2008, 44 (03) :745-752
[2]   Output-feedback stochastic nonlinear stabilization [J].
Deng, H ;
Krstic, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (02) :328-333
[3]   Simple homogeneous sliding-mode controller [J].
Ding, Shihong ;
Levant, Arie ;
Li, Shihua .
AUTOMATICA, 2016, 67 :22-32
[4]   Second-Order Sliding Mode Control for Nonlinear Uncertain Systems Bounded by Positive Functions [J].
Ding, Shihong ;
Wang, Jiadian ;
Zheng, Wei Xing .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2015, 62 (09) :5899-5909
[5]   Nonsmooth stabilization of a class of nonlinear cascaded systems [J].
Ding, Shihong ;
Li, Shihua ;
Zheng, Wei Xing .
AUTOMATICA, 2012, 48 (10) :2597-2606
[6]   Distributed Finite-Time Cooperative Control of Multiple High-Order Nonholonomic Mobile Robots [J].
Du, Haibo ;
Wen, Guanghui ;
Cheng, Yingying ;
He, Yigang ;
Jia, Ruting .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2017, 28 (12) :2998-3006
[7]   Finite-time consensus of multiple nonholonomic chained-form systems based on recursive distributed observer [J].
Du, Haibo ;
Wen, Guanghui ;
Yu, Xinghuo ;
Li, Shihua ;
Chen, Michael Z. Q. .
AUTOMATICA, 2015, 62 :236-242
[8]   Finite-Time Synchronization of a Class of Second-Order Nonlinear Multi-Agent Systems Using Output Feedback Control [J].
Du, Haibo ;
He, Yigang ;
Cheng, Yingying .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2014, 61 (06) :1778-1788
[9]  
Du HB, 2013, KYBERNETIKA, V49, P507
[10]   Further Results on Output-Feedback Stabilization for a Class of Stochastic Nonlinear Systems [J].
Duan, Na ;
Xie, Xue-Jun .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (05) :1208-1213
1234