Hcontrol of T-S fuzzy fish population logistic model with the invasion of alien species

Yi Zhang, Qiaoling Zhang, Guofeng Zhang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

30 Citations (Scopus)


The problem of H∞control for a fish population logistic model with the invasion of alien species is studied via a T-S fuzzy control approach in this paper. Firstly, the harvested capability induced by economic factors and purification capability induced by invasion of alien species are analyzed. Secondly, the corresponding bio-economic model is established by taking the above two factors into account. Thirdly, the singularity-induced bifurcation (SIB) and impulsive behavior of the resultant bio-economic model are investigated. After that, a T-S fuzzy system is used to describe the nonlinear system for the bio-economic model with added input disturbance. A sufficient condition is proposed to satisfy H∞norm of the system by using the Lyapunov theory and a linear matrix inequality approach. Finally, a modified differential transform method is exploited to present the invasion system to analyze the characters. The application of H∞controller according to actual events demonstrates the effectiveness of the method used in this paper.
Original languageEnglish
Pages (from-to)724-733
Number of pages10
Publication statusPublished - 15 Jan 2016


  • Alien species
  • H control ∞
  • Modified differential transform method
  • Singularity-induced bifurcation
  • T-S fuzzy system

ASJC Scopus subject areas

  • Computer Science Applications
  • Cognitive Neuroscience
  • Artificial Intelligence

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