Global state feedback stabilisation for a class of more general high-order non-linear systems

被引:17
作者
Gao, Fangzheng [1 ]
Wu, Yuqiang [2 ]
机构
[1] Southeast Univ, Sch Automat, Key Lab Measurement & Control CSE, Minist Educ, Nanjing 210096, Jiangsu, Peoples R China
[2] Qufu Normal Univ, Inst Automat, Dept Elect Engn & Automat, Qufu 273165, Peoples R China
关键词
HOMOGENEOUS DOMINATION APPROACH; TIME-VARYING DELAY; OUTPUT-FEEDBACK; INVERSE DYNAMICS; ADAPTIVE-CONTROL; PARAMETERIZED SYSTEMS; MECHANICAL SYSTEM; STABILITY; DESIGN;
D O I
10.1049/iet-cta.2014.0175
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 study addresses the problem of global stabilisation by state feedback for a class of high-order non-linear systems with more general uncertainties, to which the existing control methods are inapplicable. By introducing sign function and necessarily modifying the method of adding a power integrator, a continuous state feedback controller is successfully constructed to guarantee the global asymptotic stability of the resulting closed-loop system. Two simulation examples are provided to illustrate the effectiveness of the proposed approach.
引用
收藏
页码:1648 / 1655
页数:8
相关论文
共 32 条
[1]   Finite-time stability of continuous autonomous systems [J].
Bhat, SP ;
Bernstein, DS .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) :751-766
[2]   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
[3]   Semi-global stabilisation of uncertain non-linear systems by homogeneous output feedback controllers [J].
Jia, R. ;
Qian, C. ;
Zhai, J. .
IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (01) :165-172
[4]  
Khalil H., 2002, Control of Nonlinear Systems
[5]   Global stability and stabilization of more general stochastic nonlinear systems [J].
Li, Fengzhong ;
Liu, Yungang .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 413 (02) :841-855
[6]   Global finite-time stabilisation by output feedback for a class of uncertain nonlinear systems [J].
Li, Ji ;
Qian, Chunjiang ;
Ding, Shihong .
INTERNATIONAL JOURNAL OF CONTROL, 2010, 83 (11) :2241-2252
[7]   Decentralised output-feedback control for high-order stochastic non-linear systems [J].
Li, W. ;
Wei, X. ;
Zhang, S. .
IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (06) :838-846
[8]   Decentralised stabilisation of a class of large-scale high-order stochastic non-linear systems [J].
Li, W. ;
Jing, Y. ;
Zhang, S. .
IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (11) :2441-2453
[9]   Further results on adaptive state-feedback stabilization for stochastic high-order nonlinear systems [J].
Li, Wuquan ;
Liu, Xiaohua ;
Zhang, Siying .
AUTOMATICA, 2012, 48 (08) :1667-1675
[10]   OUTPUT-FEEDBACK STABILIZATION OF STOCHASTIC HIGH-ORDER NONLINEAR SYSTEMS UNDER WEAKER CONDITIONS [J].
Li, Wuquan ;
Xie, Xue-Jun ;
Zhang, Siying .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2011, 49 (03) :1262-1282