| Power electronic circuits are strongly non-linear systems.The complexity of modeling and control for them affects the understanding and application of them. Therefore, to simplify the modeling process and control of power electronic circuits has important theory and engineering value in their analysis, design and application.In this paper, the modeling and control of DC/DC converter and DC/AC inverter are studied based on the hybrid system theory and simulation software MATLAB. The paper is focused as follows.Firstly, a unified abstract model for power electronic circuits is established using hybrid automata theory. Then, hybrid automaton models for the second-order DC/DC Buck converter in the continuous inductor current mode (CCM) and the DC/AC three-phase full-bridge inverter in the three-three conduction mode are set up, which is based on analyzing their states and fixing their switching conditions. After that, the influence of parameters on Buck converter is analyzed. The Modeling process confirms the simplicity of the method and simulation results show that the model is correct.Secondly, based on the hybrid automaton model of the second-order DC/DC Buck converter in the CCM, a new type of sliding-mode controller is designed by means of solving the inverse model and introducing the exponentially reaching low. Afterwards the scope of the controller parameters is solved by using the discrete method. And simulation results of the Buck converter and the Boost converter indicate that this method can make up the deficiencies of the conventional sliding-mode control and have a good effect.Finally, a hybrid automaton simulation model for brushless DC motor in the two-two conduction mode is build based on the hybrid automaton of DC/AC three-phase full-bridge inverter by changing the switching conditions, which simplifies the traditional mathematical modeling. Ultimately, simulation results illustrate the effectiveness of this method.
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