A comparative study of boundary control with first- and second-order switching surfaces for buck converters operating in DCM

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Original languageEnglish
Pages (from-to)1196-1209
Journal / PublicationIEEE Transactions on Power Electronics
Issue number4
Publication statusPublished - Jul 2007


A performance comparison of boundary control with the first- σ1 and second-order σ2 switching surfaces for buck converters operating in discontinuous conduction mode (DCM) is presented in this paper. Performance attributes under investigation include the average output voltage, output ripple voltage, switching frequency, parametric sensitivities to the component values, and large signal characteristics. Due to the presence of the output hysteresis band, an additional switching boundary formed by the zero-inductor-current trajectory is created. This phenomenon causes a shift of the operating point in converters with σ1. Conversely, the operating point remains unchanged in converters with σ1. As well as in continuous conduction mode (CCM), σ1 can make the converter revert to the steady-state in two switching actions in DCM and gives better static and dynamic responses than σ1 in both CCM and DCM. Most importantly, its control law and settings are applicable for both modes. Experimental results of a prototype are found to be in good agreement with theoretical predictions. © 2007 IEEE.

Research Area(s)

  • Boundary control, First-order switching surface, Geometric control method, Second-order switching surface, State trajectory control