Abstract

In this paper, the problem of variable structure control for singular biological economic model with stage structure and uncertain parameters is studied. Firstly, according to the T-S fuzzy theory, the uncertain T-S fuzzy singular model is established and the stability of the model at the positive equilibria is discussed. Then, the fuzzy integral sliding surface and controller for the T-S fuzzy singular system with uncertain term is designed. And then the variable structure control with siding mode based on fuzzy sliding mode controller is designed to stabilize the model. Last, the numerical simulations are given to verify the effectiveness of the conclusions.

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