Abstract

In this paper, chaotic control was studied for a discrete two population competition model based on T-S fuzzy system. We show that a solution to communicate ideas of fuzzy control and discrete population competition model. For the behaviour of chaotic of discrete two population competition model, a T-S fuzzy system is constructed. The stabilization condition is introduced in terms of linear matrix inequalities. A Parallel Distributed Compensation (PDC) fuzyy controller is designed. Our controller is designed for the model itself and don't need to adjust parameter. Thus, we can get different controller of depending on different parameter. The proposed model enriches the research of population competition model. It is also a new application of the T-S fuzzy control system. Numerical simulation illustrates the validity of the proposed method.

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