| Power electronic circuits can show rich nonlinear phenomena, such as bifurcations, chaos and etc. Therefore chaotic dynamics is needed to analyze these phenomena. Modeling power electronic circuits with chaotic dynamics can help us to learn more about dynamic behaviors of power electronic circuits, which is beneficial to engineering design. On the other hand, power circuits will supply instances for the study of nonlinear science, which, as a result, can also contribute to the development of nonlinear science.In this dissertation the nonlinear phenomena in PWM DC/DC converter are studied from three aspects:(l) PWM DC/DC modeling method with chaotic dynamics; (2) Chaos in PWM DC/DC converter; (3) chaotic controlling in PWM DC/DC converter.In this dissertation the state equation of PWM DC/DC was first generated, the dynamic equation and there kinds of discrete models was generated based on sample-data and Cayley-Hamilton, them could help to study chaos.In this dissertation the basic conception and differentiating chaos's method was cotriduced, and study of chaos basded on dynamic modeling and numerical emluator was be doing. chaos was validated in PWM DC/DC converter, and the result of emlutor based on MATLAB was gived. It's forming route and process is along times-period bifurcation to get chaos.In this dissertation contriduced some control method of chaos, and controlling chaos in PWM DC/DC converter based on OGY. The emlutor and validity of OGY was geted. |