您的位置:山东大学 -> 科技期刊社 -> 《山东大学学报(工学版)》

山东大学学报(工学版) ›› 2011, Vol. 41 ›› Issue (2): 119-125.

• 控制科学与工程 • 上一篇    下一篇

一类广义Hamilton系统的有限时间稳定性及其在仿射非线性系统控制设计中的应用

马世敏,王玉振   

  1. 山东大学控制科学与工程学院, 山东 济南 250061
  • 收稿日期:2010-11-05 出版日期:2011-04-16 发布日期:2010-11-05
  • 作者简介:马世敏(1985- ),男,广西钦州人,硕士研究生,主要研究方向为有限时间稳定. Email:mashimin@mail.sdu.edu.cn
  • 基金资助:

    国家自然科学基金资助项目(G61074068);山东省自然科学基金资助项目(ZR2010FM013);教育部高等学校博士点专项基金资助项目(G200804220028)

Finite-time stability of a class of generalized Hamiltonian systems with
application to control design of nonlinear affine systems

MA Shi-min, WANG Yu-zhen   

  1. School of Control Science and Engineering, Shandong University, Jinan 250061, China
  • Received:2010-11-05 Online:2011-04-16 Published:2010-11-05

摘要:

研究了一类广义Hamilton系统的有限时间稳定性及其在仿射非线性系统控制设计中的应用,并给出几个新结果。利用Hamilton系统的结构特性和已有的关于局部有限时间稳定的结果,给出该类Hamilton系统有限时间稳定的几个判定准则。把得到的新结果应用于仿射非线性系统的有限时间控制设计中。通过选取恰当的Hamilton函数,并利用正交分解Hamilton实现及阻尼注入技术,为一类仿射非线性系统设计了一类有限时间控制器。给出两个例子以验证本文结论的有效性。

关键词: 有限时间稳定性, Hamilton系统, 阻尼注入, Hamilton实现

Abstract:

Finite-time stability was investigated for a class of generalized Hamiltonian systems with application to control design of nonlinear affine systems, and a number of new results were presented. Based on the structural properties of Hamiltonian systems and the existing results of local finitetime stability, several criteria were obtained for the finitetime stability of the class of generalized Hamiltonian systems. The obtained results were used to study the finitetime control design for a class of nonlinear affine systems. Via choosing a suitable Hamiltonian function, and utilizing the orthogonal decomposition Hamiltonian realization and the damping injection technique, a new control design procedure was established. Two illustrative examples were given to support the new results obtained in this paper.

Key words:  finite-time stability, Hamiltonian systems, damping injection, Hamiltonian realization

[1] 贾丹丹, 魏爱荣. 具有执行器饱和耗散Hamilton系统的镇定分析[J]. 山东大学学报(工学版), 2014, 44(5): 20-28.
[2] 洪晓芳1,2,王玉振1*, 魏爱荣1. 一类执行器饱和非线性Hamilton网络控制系统H∞控制器设计[J]. 山东大学学报(工学版), 2014, 44(1): 49-56.
[3] 杨仁明,王玉振*. 一类非线性时滞系统的有限时间稳定性[J]. 山东大学学报(工学版), 2012, 42(2): 36-44.
[4] 辛道义,刘允刚 . 非线性系统有限时间稳定性分析与控制设计[J]. 山东大学学报(工学版), 2007, 37(3): 24-30 .
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!