On stabilization of nonlinear systems affine in control

被引：4
作者：
Liu, Xinmin [1 ]
Lin, Zongli [1 ]
机构：
[1] Univ Virginia, Charles L Brown Dept Elect & Comp Engn, Charlottesville, VA 22904 USA
来源：
2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12 | 2008年
关键词：
D O I：
10.1109/ACC.2008.4587139
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 a recent paper, we developed a structural decomposition for MIMO nonlinear systems that are affine in control but otherwise general. In this paper we exploit the properties of such a decomposition for the purpose of solving the stabilization problem. In particular, this decomposition simplifies the conventional backstepping design, motivates a new backstepping design procedure that is able to stabilize some systems on which the conventional backstepping is not applicable, and allows the stabilization of non-square systems.
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页码：4123 / 4128
页数：6
相关论文
共 22 条
[1]  
[Anonymous], 2013, Nonlinear control systems
[2]  
Byrnes C. I., 1984, Proceedings of the 23rd IEEE Conference on Decision and Control (Cat. No. 84CH2093-3), P1569
[3]   ASYMPTOTIC STABILIZATION OF MINIMUM PHASE NONLINEAR-SYSTEMS [J].
BYRNES, CI ;
ISIDORI, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (10) :1122-1137
[4]   Nonlinear internal models for output regulation [J].
Byrnes, CI ;
Isidori, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (12) :2244-2247
[5]  
Conte G., 1999, Nonlinear Control Systems: An Algebraic Setting
[6]   OUTPUT-FEEDBACK STABILIZATION OF FULLY LINEARIZABLE SYSTEMS [J].
ESFANDIARI, F ;
KHALIL, HK .
INTERNATIONAL JOURNAL OF CONTROL, 1992, 56 (05) :1007-1037
[7]   INVERTIBILITY OF MULTIVARIABLE NON-LINEAR CONTROL-SYSTEMS [J].
HIRSCHORN, RM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1979, 24 (06) :855-865
[8]   NON-LINEAR DECOUPLING VIA FEEDBACK - A DIFFERENTIAL GEOMETRIC APPROACH [J].
ISIDORI, A ;
KRENER, AJ ;
GORIGIORGI, C ;
MONACO, S .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (02) :331-345
[9]  
Isidori A., 1999, Nonlinear control systems II, VII
[10]   Norm estimators and global output feedback stabilization of nonlinear systems with ISS inverse dynamics [J].
Kaliora, G ;
Astolfi, A ;
Praly, L .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (03) :493-498
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