东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2008, Vol. 29 ›› Issue (9): 1236-1239+1244.DOI: -

• 论著 • 上一篇    下一篇

一类非线性广义系统的状态反馈控制

杨光;张庆灵;郭立新;   

  1. 东北大学理学院;东北大学机械工程与自动化学院;
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2008-09-15 发布日期:2013-06-22
  • 通讯作者: Yang, G.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60574011);;

State feedback control of a class of nonlinear singular systems

Yang, Guang (1); Zhang, Qing-Ling (1); Guo, Li-Xin (2)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China; (2) School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2008-09-15 Published:2013-06-22
  • Contact: Yang, G.
  • About author:-
  • Supported by:
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摘要： 针对状态空间为非最小相位的非线性广义系统的控制问题,首先利用算法求得非线性广义系统的状态空间实现,构建一个等价于原输出函数的综合输出函数,由此可任意配置非线性广义系统的状态空间实现的传输零点,使该状态空间实现为最小相位的;再对所得到的最小相位系统实施状态反馈控制,实现对非线性广义系统的状态反馈控制.并将此法应用到Logistic增长的SIR传染病模型上,以达到最终消除该传染病的目的.仿真结果表明所提方法可行有效.

关键词: 非线性广义系统, 状态反馈控制, 非最小相位, 零点配置, Logistic增长的SIR模型

Abstract: The problem of control of a nonlinear singular system that is non-minimum phase is discussed. The state space of a nonlinear singular system is derived by an algorithm. Then, a synthetic output function is reconstructed, which is statically equivalent to the original one and allowing the arbitrary assignment of the zero dynamics of the state-space realization so as to enable the state space to be in minimum phase. And the state feedback is put into effect for the minimum phase system thus obtained to realize the state feedback for nonlinear singular system. The proposed method was applied to the SIR epidemic model with Logistic growth control problem for the purpose of eradicating the epidemic. Simulation results showed the validity and effectiveness of this method.

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