Aimed at the problem that the switching frequency under the min-type switching law is too high to be applied in engineering practice,a switched system model of Boost converter operating in continuous conduction mode (CCM) is established,and a novel switching law based on common quadratic Lyapunov function is proposed. According to the mathematical expression of the switching law,the steady-state and dynamic performances of the converter are analyzed,and the regulation mechanism of the converter's switching frequency under the switching law is described. Simulation and experimental results show that under the proposed switching law,the Boost converter's switching frequency is controllable and the Zeno behavior which is specific to a switched system would not occur. Compared with those under the existing control strategies,the converter under the proposed strategy has a good dynamic performance,with fewer voltage fluctuations and a shorter settling time when suffering external disturbances.
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