Pth Momtent Exponential Stability Of PWM Feedback Systems With Nonlinear Plants And Its Application

Since the mid-twentieth century, technological advances bring the benefits to the modern control, as well as its higher demands. With increasingly accused of engineering complex and serious non-linear, new control methods spring up. Pulse width modulation(PWM) is not only easy to implement, and the cost of it is low,sometimes performance is better than continuous control,thus,PWM are widely used in engineering system, control system,signal processing, the current control system,the neural network model,etc. As a result,The stability of PWM feedback system with nonlinear plants is particularly important.This paper present new Lyapunov stability results for pulse-width-modulated feedback systems with non-linear plants. We show that the stability properties of such systems can be deduced from the stability propertied of PWM feedback systems with linear plant,for both the non-critical case and the critical case,give sufficient conditions of pth exponential uniformly stable of such system. And on the basis of the conclusion,we studied the stability of PWM neural network,in the end,the result is verified by numerical simulation.