Recently, permanent magnet synchronous motors(PMSMs) have been widely popularized and used rapidly with the rapid development of the power electronics technology, micro electronic technique and new type electrical machinery control theory.PMSMs have superior features such as compact size, light weight, quick response and high efficiency, so it is very necessary to investigate PMSMs in energy conservation and environmental protection becoming more and more valued today. Then main results may be summarized as follows:Firstly, the sufficient conditions of the asymptotically stability of PMSMs with impulsive control are established. Secondly, by taking advantages of both impulsive control and fuzzy control, the sufficient conditions of the asymptotically stability and exponentially stability of PMSMs are obtained under the fuzzy impulsive control.Finally, we give the concept of impulsive window by the discussion of the time when the impulse is put, then study the sufficient conditions of stability of PMSMs with impulsive window. The above obtained results are established on the basis of mathematical model of PMSMs and proved by constructing Lyapunov function, using the related theory of differential equations, inequality technique and comparison principle. Moreover, some numerical experiments are given to validity the effectiveness of the results and promote the work of the relevant literature. |