A Stability Analysis Of Stochastic PWM Feedback Time-Delay Systems

In natural science and the actual industrial production process, time-delay systemsis widespread. Any practical system is more or less some time delay phenomenon, sohow to make use of or eliminate it has always been a research hotspot in the field ofcontrol theory. With the development of the pulse-width-modulation, PWM hasextensively been used in many areas.PWM feedback system stability study hasestablished a relatively mature theory system.In practical applications, a system is not only make the perturbations by outsidetime-delay factors factors, such as limited signal transmission speed, switchspeed,memory effect, ect and the system is often influenced by stochasticperturbations factors. With the continuous development of modern industrial level, therequirements of complexity of the controlled object and control precision of system willbe more and more high, stochastic perturbations factors is inevitable for the analysis ofthe stability of the system. Therefore,it is important value in theory and in application tostudy stochastic PWM feedback time-delay systems.The paper studies Pth moment exponential stability of stochastic PWM feedbacktime-delay systems. First,the paper introduces some basic concepts, through theIto isometry and the property of the Brown motion, using of Lyapunov-Krasovskiifunctional, with the help of linear matrix inequality (IMI) tools, construct prorer theV-function,at last,we get some stability conclusions.The paper also studies the stability of the stochastic PWM feedback system withtype2, using Lyapunov functionals to structure the suitable function, established thecriterion the system global asymptotical gradual bounded, and proves that the system(4.1) is not only a global asymptotical boundedness but also a pth moment consistentgradual boundedness.