东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2005, Vol. 26 ›› Issue (9): 821-823.DOI: -

• 论著 • 上一篇    下一篇

不确定仿射非线性系统H_∞鲁棒混杂控制

赵胜芝;赵军   

  1. 东北大学教育部暨辽宁省流程工业综合自动化重点实验室;东北大学教育部暨辽宁省流程工业综合自动化重点实验室 辽宁沈阳110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2005-09-15 发布日期:2013-06-24
  • 通讯作者: Zhao, S.-Z.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60274009);;

H∞ robust hybrid control for uncertain affine nonlinear systems

Zhao, Sheng-Zhi (1); Zhao, Jun (1)   

  1. (1) Key Laboratory of Process Industry Automation, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2005-09-15 Published:2013-06-24
  • Contact: Zhao, S.-Z.
  • About author:-
  • Supported by:
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摘要： 针对受内部及外部扰动影响的仿射非线性系统,使用切换技术及多Lyapunov函数方法构造出不连续状态反馈控制器,同时设计切换律,使得对于所有允许的不确定性,相应的闭环系统渐近稳定又具有指定的L2增益.主要条件以一组偏微分不等方程给出,其中纯量函数的引入使得不等式组比通常的Hamilton-Jacobi不等式更具有可解性.该方法将一般系统的H∞控制问题转化成了某个切换系统的H∞控制问题.这种混杂状态反馈控制方法对系统参数变化具有很强的鲁棒性.

关键词: 切换系统, 多Lyapunov函数, H∞控制, L2增益, 混杂状态反馈

Abstract: For an affine nonlinear system affected by internal and external disturbances, the discontinuous state feedback controllers are built by using switching technique and multiple Lyapunov function method with switching laws designed to ensure that for all allowable uncertainties the relevant closed-loop system possesses the prescribed L2-gain and is asymptotically stable. The main condition is given in form of a group of partial differential inequalities, among which the inequalities are more solvable than a general Hamilton-Jacobi inequality after introducing the sealer functions. This method transforms the H∞ control problem of general systems into that of a certain switched system and has strong robustness for the variation of system parameters.

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