The control of a single-species fish population model with the invasion of alien species

H_∞ control of a single-species fish population logistic model with the invasion of alien species is studied with T-S fuzzy descriptor system control approach in this paper. The singularity-induced bifurcation (SIB) and impulsive behavior of the bio-economic model are researched with differential algebraic equations. T-S fuzzy descriptor model is 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.