Abstract:Considering a class of complicated biomathematic system of preys and predators, a type-2 fuzzy adaptive controller is designed. For bettering the active system properly, the approximated error is introduced into the design of the controller. Finally, the desired state is tracked by system output, until the tracking error is less than a desired threshold when there is outer disturbance. The effectiveness of the controller is proved by Lyapunov function and some properties of type-2 fuzzy logic system. The nonlinear dynamic behavior and control of biomathematic system state are theoretically discussed, which are of practical significance. The scheme indicates that the two creatures would finally reach a good state, which is suitable for them to survive and develop.