一类非线性系统控制Lyapunov函数的构造

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一类非线性系统控制Lyapunov函数的构造

蔡秀珊, 韩正之, 汪晓东

文章导航 > 自动化学报 > 2006 > 32(5): 796-799

蔡秀珊, 韩正之, 汪晓东. 一类非线性系统控制Lyapunov函数的构造. 自动化学报, 2006, 32(5): 796-799.

引用本文:

蔡秀珊, 韩正之, 汪晓东. 一类非线性系统控制Lyapunov函数的构造. 自动化学报, 2006, 32(5): 796-799.

CAI Xiu-Shan, HAN Zheng-Zhi, WANG Xiao-Dong. Construction of Control Lyapunov Functions for a Class of Nonlinear Systems. ACTA AUTOMATICA SINICA, 2006, 32(5): 796-799.

Citation:

CAI Xiu-Shan, HAN Zheng-Zhi, WANG Xiao-Dong. Construction of Control Lyapunov Functions for a Class of Nonlinear Systems. ACTA AUTOMATICA SINICA, 2006, 32(5): 796-799.

蔡秀珊, 韩正之, 汪晓东. 一类非线性系统控制Lyapunov函数的构造. 自动化学报, 2006, 32(5): 796-799.

引用本文:

蔡秀珊, 韩正之, 汪晓东. 一类非线性系统控制Lyapunov函数的构造. 自动化学报, 2006, 32(5): 796-799.

CAI Xiu-Shan, HAN Zheng-Zhi, WANG Xiao-Dong. Construction of Control Lyapunov Functions for a Class of Nonlinear Systems. ACTA AUTOMATICA SINICA, 2006, 32(5): 796-799.

Citation:

CAI Xiu-Shan, HAN Zheng-Zhi, WANG Xiao-Dong. Construction of Control Lyapunov Functions for a Class of Nonlinear Systems. ACTA AUTOMATICA SINICA, 2006, 32(5): 796-799.

一类非线性系统控制Lyapunov函数的构造

1.
College of Information Science and Engineering, Zhejiang Normal University, Jinhua 321004;
2.
Department of Automation, Shanghai Jiaotong University, Shanghai 200030

通讯作者:
蔡秀珊

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- 文章访问数: 3095
- HTML全文浏览量: 49
- PDF下载量: 1955
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出版历程
- 收稿日期: 2004-07-15
- 修回日期: 2006-06-19
- 刊出日期: 2006-09-20

Construction of Control Lyapunov Functions for a Class of Nonlinear Systems

1.
College of Information Science and Engineering, Zhejiang Normal University, Jinhua 321004;Department of Automation, Shanghai Jiaotong University, Shanghai 200030

More Information

Corresponding author: CAI Xiu-Shan

摘要: The construction of control Lyapunov functions for a class of nonlinear systems is considered. We develop a method by which a control Lyapunov function for the feedback linearizable part can be constructed systematically via Lyapunov equation. Moreover, by a control Lyapunov function of the feedback linearizable part and a Lyapunov function of the zero dynamics, a control Lyapunov function for the overall nonlinear system is established.
- Nonlinear systems /
- control Lyapunov functions /
- semiglobal stabilization /
- zero dynamics
Abstract: The construction of control Lyapunov functions for a class of nonlinear systems is considered. We develop a method by which a control Lyapunov function for the feedback linearizable part can be constructed systematically via Lyapunov equation. Moreover, by a control Lyapunov function of the feedback linearizable part and a Lyapunov function of the zero dynamics, a control Lyapunov function for the overall nonlinear system is established.
- Nonlinear systems /
- control Lyapunov functions /
- semiglobal stabilization /
- zero dynamics

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文章访问数: 3095
HTML全文浏览量: 49
PDF下载量: 1955
被引次数: 0

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