Pth Momtent Exponential Stability For A Class Of PWM Feedback Systems With Stochastic Nonlinear Plants

With the development of science and technology, many artificial control engineering has been replaced by mechanical automation. Control theory is the basic theory of the automation technology. Many control methods are produced in this time. Because of the advantages of simply control and flexible control.Pulse Width Modulation(PWM) is widely used. Thus, more and more scholars have devoted themselves to the research of the stability of the feedback systems, and established the corresponding theoretical system.But, in practical application, every control system always exists random interference, the control system are nonlinear,and many control systems are nonlinear in the practice. So it is very important to study the stability of PWM feedback systems with stochastic nonlinear plants.This paper is based on the research of the stability of the linear feedback system,and takes into account the random disturbance of the system and highly nonlinear of control system. This paper studies the stability on one of the PWM feedback systems with stochastic nonlinear plants. This paper uses one time approximation principle of Lyapunov.The nonlinear part is transformed into a linear part and a nonlinear part that is higher order infinitesimal. By choosing reasonable Lyapunov functional, combined with linear matrix inequalities and Ito integration method, this paper shall establish two judgement criterions of the pth momtent exponential stability for a class of PWM feedback systems with stochastic nonlinear plants through the second Lyapunov method. The correctness of the theorem is proved.and the results are verified to be correct by numerical simulation.