Robust global stabilization of the DC-DC boost converter via hybrid control

T.A.F. Theunisse, J. Chai, R.G. Sanfelice, W.P.M.H. Heemels

Research output: Contribution to journalArticleAcademicpeer-review

82 Citations (Scopus)
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In this paper, we consider the modeling and (robust) control of a DC-DC Boost converter. In particular, we derive a mathematical model consisting of a constrained switched differential inclusion that includes all possible modes of operation of the converter. The obtained model is carefully selected to be amenable for the study of various important robustness properties. For this model, we design a control algorithm that induces robust, global asymptotic stability of a desired output voltage value. The guaranteed robustness properties ensure proper operation of the converter in the presence of noise in the state, unmodeled dynamics, and spatial regularization to reduce the high rate of switching. The establishment of these properties is enabled by recent tools for the study of robust stability in hybrid systems. Simulations illustrating the main results are included.

Original languageEnglish
Article number7070893
Pages (from-to)1052-1061
Number of pages10
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Issue number4
Publication statusPublished - 1 Apr 2015


  • Boost converter
  • DC-DC converters
  • hybrid control
  • robustness
  • stability


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