三种群捕食与被捕食生物方程基于神经网络的H∞非线性控制

Control of A Class of Biomathematic System with Three Species of Predators and Preys by the Method of Neural Network-Based H_∞ Control

针对一复杂的三种群捕食与被捕食生物系统，基于RBF神经网络，提出了H∞非线性控制器设计方案，并把逼近误差引入控制器设计中以改善系统的动态性能；在生物系统受外界干扰的情况下实现对理想状态跟踪，使跟踪误差收敛到零；用Lyapunov函数及神经网络性质证明了所设计的控制器的有效性；从理论上研究了该生物系统的非线性行为及控制，说明该种群最终达到了一个新的适宜各物种生存、发展的状态空间．

As for a class of complicated biomathematic system of three species of predators and preys,this paper de- signs a RBF Neural Network - based nonlinear H_∞ controller.For bettering the active system properly,approximated error is introduced to the design of the controller.Finally,the desired state is tracked by system output,until the tracking error is less than a desired threshold though there is outer disturbance.The controller s effectiveness is proved by Lyapunov function and some properties of neural network.This paper theoretically discusses the nonlinear dynamic behavior and control of biomathematic system state,which is of practical significance.This scheme indicates that the three creatures would finally be in a good state,which makes them survive and develop.