Chaotic control and T-S fuzzy system for a discrete two population competition model

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.