不确定非仿射非线性时滞系统的神经网络自适应控制

Neural Network Adaptive Control for Uncertain non-affine Nonliear Time-delay Systems

针对一类不确定非仿射非线性时滞系统,提出了一种神经网络的自适应控制器.利用隐函数定理、泰勒展开式和中值定理,把非仿射非线性时滞系统转化为仿射非线性时滞系统,同时利用神经网络可逼近任意非线性函数的能力,结合误差滤波理论及Young不等式处理时滞项.根据Lyapunov理论,在一定的条件下,给出了系统稳定的充分条件,并给予证明.该控制器保证了跟踪误差收敛,从而说明了该控制器的有效性.

An adaptive neural network control design approach is proposed for a class of uncertain non-affine nonlinear time-delay systems.By using implicit function theorem,Taylor＇s formula and mean theorem,the form of the non-affine nonlinear systems is transformed into the form of affine nonlinear systems.At the same time,the capability of neural networks to approach any nonlinear function,combined with Error Filtering theory,and the Young inequality to deal with the time-delay have been used.According to the Lyapunov theory, a sufficient condition for the stability of the nonliear system is given.This control guarantees the convergence to the tracking error,It indicates that the controller is effectual.