一类非齐次高阶非线性系统的连续反馈控制设计

孙丞; 孙鹤旭; 刁心薇

doi:10.3724/SP.J.1004.2014.00149

一类非齐次高阶非线性系统的连续反馈控制设计

doi: 10.3724/SP.J.1004.2014.00149

1.
河北工业大学天津 300401;
2.
智能康复装置与检测技术教育部工程研究中心天津 300130

基金项目:

国家自然科学基金（61203142）;天津市自然科学基金（11JCYBJC06500）资助

详细信息

作者简介:
孙丞河北工业大学控制科学与工程学院博士研究生. 主要研究方向为非线性控制. E-mail：sunchtz@hebut.edu.cn

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出版历程
- 收稿日期: 2012-07-20
- 修回日期: 2013-02-22
- 刊出日期: 2014-01-20

Continuous Feedback Control Design for a Class of Non-homogeneous High-order Nonlinear Systems

1.
Hebei University of Technology, Tianjin 300401;
2.
Engineering Research Center of Rehabilition Device and Detection Technology, Ministry of Education, Tianjin 300130

Funds:

Supported by National Natural Science Foundation of China (6120 3142) and Natural Science Foundation of Tianjin (11JCYBJC06500)

摘要

摘要: 研究了一类非齐次的高阶非线性系统的连续状态反馈控制设计问题. 通过定义一列适当的辅助函数，放宽了对非线性项的约束条件. 利用传统的积分反推技术，并增加一个积分项的方法，得到了这类系统的稳定性，给出了控制器的设计方法，并通过一个例子验证了本文的理论结果.
- 连续状态反馈 /
- 高阶非线性系统 /
- 全局强稳定 /
- 反推方法
Abstract: This paper studies the design of continuous state feedback controllers for a class of non-homogeneous high order non-linear systems. We relex the restriction on non-linear term through defining a series of appropriate auxiliary functions. A systematic design method which combines integrator backstepping theory with the idea of adding a integral term is presented for globally stabilizing controllers of this class of systems. And we verify the theoretical results in the paper through an example.
- Continuous state feedback /
- high-order nonlinear systems /
- global strong stabilization /
- the backstepping approach

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参考文献(16)

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