Global stabilization of discrete-time nonlinear systems

被引：0

作者：

Cai Xiu-shan ^{[1
]}

Zhang Qing-shui ^{[1
]}

Lin Rong ^{[1
]}

机构：

[1] Sanming Univ, Dept Math, Sanming 365004, Peoples R China

来源：

Proceedings of the 2007 Chinese Control and Decision Conference | 2007年

关键词：

control lyapunov functions; discrete systems; stabilization;

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：

The stabilization of discrete nonlinear systems is studied. Based on control Lyapunov functions, a sufficient and necessary condition for a quadratic function to be a control Lyapunov function is given, by which a continuous state feedback law is constructed explicitly. It can stabilize the equilibrium of the closed-loop system globally and asymptotically. The simulation shows the effectiveness of the method.

引用

页码：31 / 33

页数：3

共 6 条

[1] STABILIZATION WITH RELAXED CONTROLS
ARTSTEIN, Z
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (11) : 1163 - 1173
[2] Cai XS, 2006, LAT AM APPL RES, V36, P15
[3] Inverse optimal control of nonlinear systems with structural uncertainty
Cai, XS
Han, ZZ
[J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2005, 152 (01): : 79 - 83
[4] Iggidr A., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P2051, DOI 10.1109/CDC.1999.830941
[5] Sepulchre R., 1996, Constructive nonlinear control
[6] A UNIVERSAL CONSTRUCTION OF ARTSTEIN THEOREM ON NONLINEAR STABILIZATION
SONTAG, ED
[J]. SYSTEMS & CONTROL LETTERS, 1989, 13 (02) : 117 - 123

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