东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2011, Vol. 32 ›› Issue (10): 1369-1373.DOI: -

• 论著 •    下一篇

广义生物经济系统的H_∞控制

张悦;张庆灵;张铁志;   

  1. 东北大学理学院;东北大学设计研究院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    中央高校基本科研业务费专项资金资助项目(N090305005);;

H∞ control of descriptor bioeconomic systems

Zhang, Yue (1); Zhang, Qing-Ling (1); Zhang, Tie-Zhi (2)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110819, China; (2) Institute of Design, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Zhang, Y.
  • About author:-
  • Supported by:
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摘要： 基于T-S模糊广义系统控制方法,研究了一类广义单种群生物经济模型的H∞控制问题.依据数学、生态和经济学理论建立一类用微分和代数方程联合描述的广义生物经济模型,并基于微分代数系统理论研究该类生物经济模型发生奇异诱导分岔(SIB)和脉冲行为.构造该系统的广义T-S模糊模型,设计T-S模糊广义系统的H∞控制器,消除系统中存在的奇异诱导分岔和脉冲行为,抑制种群变化,使系统趋于稳定,而且可以使控制能量保持在有界范围内.数值仿真说明了该控制器的有效性.

关键词: 广义生物经济模型, 奇异诱导分岔, 脉冲, T-S模糊广义系统, H∞控制

Abstract: H∞ control of a class of descriptor single-species bioeconomic models was studied with T-S fuzzy descriptor system control approache. According to the theory of mathematics, ecology and economics, a descriptor bioeconomic models was established with differential and algebraic equations. The singularity-induced bifurcation (SIB) and impulsive behavior of the bioeconomic model were researched with differential algebraic equations. T-S fuzzy descriptor model was constructed, and a H∞ controller for the T-S fuzzy descriptor system designed to eliminate the singularity-induced bifurcation and impulsive behavior, restrain the population change, make the model system stable and keep the cost energy within limited range. Numerical simulation illustrates the validity of the proposed controller.

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