Global finite-time stabilization of second-order systems subject to mismatched disturbances with application to consensus

被引：0
作者：
Wang, Xiangyu [1 ,2 ]
Li, Shihua [1 ,2 ]
Du, Haibo [3 ]
机构：
[1] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China
[2] Minist Educ, Key Lab Measurement & Control Complex Syst Engn, Beijing, Peoples R China
[3] Hefei Univ Technol, Sch Elect Engn & Automat, Hefei 230009, Peoples R China
来源：
2015 34TH CHINESE CONTROL CONFERENCE (CCC) | 2015年
关键词：
Mismatched disturbances; finite-time control; homogeneous theory; finite-time disturbance observer; consensus; SLIDING MODE CONTROL; NONLINEAR-SYSTEMS; CONTAINMENT CONTROL; MULTIAGENT SYSTEMS; OBSERVER; MANIPULATORS; STABILITY;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the finite-time stabilization problem for second-order systems subject to mismatched disturbances is studied. By integrating the homogeneous control technique and the finite-time disturbance observer together, a kind of feedforward-feedback composite controllers are proposed. These controllers globally finite-time stabilize the disturbed systems. Moveover, the composite control method is also used to solve the finite-time consensus problem of leaderless second-order systems with mismatched disturbances. Simulations demonstrate the effectiveness of the proposed control algorithms.
引用
收藏
页码：7557 / 7562
页数：6
相关论文
共 23 条
[1]  
[Anonymous], 2008, P 17 IFAC WORLD C, DOI DOI 10.3182/20080706-5-KR-1001.02568
[2]   Finite-time stability of continuous autonomous systems [J].
Bhat, SP ;
Bernstein, DS .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) :751-766
[3]   Geometric homogeneity with applications to finite-time stability [J].
Bhat, SP ;
Bernstein, DS .
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2005, 17 (02) :101-127
[4]   Nonlinear disturbance observer-enhanced dynamic inversion control of missiles [J].
Chen, WH .
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2003, 26 (01) :161-166
[5]   Recursive design of finite-time convergent observers for a class of time-varying nonlinear systems [J].
Du, Haibo ;
Qian, Chunjiang ;
Yang, Shizhong ;
Li, Shihua .
AUTOMATICA, 2013, 49 (02) :601-609
[6]   Disturbance attenuation and rejection for systems with nonlinearity via DOBC approach [J].
Guo, L ;
Chen, WH .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2005, 15 (03) :109-125
[7]   Finite-time control for robot manipulators [J].
Hong, YG ;
Xu, YS ;
Huang, J .
SYSTEMS & CONTROL LETTERS, 2002, 46 (04) :243-253
[8]   On an output feedback finite-time stabilization problem [J].
Hong, YR ;
Huang, J ;
Xu, YS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (02) :305-309
[9]   Global finite-time stabilization of a class of uncertain nonlinear systems [J].
Huang, XQ ;
Lin, W ;
Yang, B .
AUTOMATICA, 2005, 41 (05) :881-888
[10]  
Khalil H., 2002, Control of Nonlinear Systems
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