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.