摘要

The boost switching converter is modeled as a hybrid automaton model with three modes of operation for the purpose of designing an appropriate control law to regulate its output voltage. The control problem is simplified to a boundary selection problem. Compared with the state space average method and the circuit average approach, the proposed model makes no assumptions and linear approximation, which is more suitable for analyzing and controlling of power electronic circuits. By comparing the minimum current through the inductor with the average output current, the CCM (continuous conduction mode) is divided into two types, i.e., the Complete Inductor Supply Mode (CISM) and the Incomplete Inductor Supply Mode (IISM). A new hybrid control scheme is put forward to regulate the output voltage of the boost converter. Boundary conditions, governing the transition of the converter operation from one discrete state to the other in a hybrid automaton representation are derived for both the ideal and the practical boost converters from the basic circuit laws. The state trajectories have been shown to reach a hybrid limit cycle already proved to be super-stable from consideration of chaos. Numerical results clearly bring out the advantages of the proposed control scheme and the hybrid model.

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