针对电力电子变换器非线性的特性,基于微分几何的方法,分析了电力电子系统的可控性与可观测性,证明了系统是弱可控与弱可观测的,有利于对非线性状态反馈解耦控制.同时还基于不变流形方法,探讨了电力电子变换器的可控性实现问题.“,”In light of the nonlinearity of the characteristics of power electronic transformer,the control characteristic analysis of power electronic transformer,a nonlinear system,is the basis of effectively application to practice.The controllability and observability of induction motor systems are analyzed based on differential geometry.It is shown that the systems are weak controllable and weak observable.The result is beneficial to the nonlinear state-feedback decoupling control law and nonlinear coordinate transformation,remain controllable and observable.Also by the invariant manifold method,the realization of the controllability is studied.