Stability Analysis of DC-DC Buck Converter using Takagi-Sugeno Fuzzy Model-based Approach

نویسندگان

  • Kamyar Mehran
  • Damian Giaouris
  • Bashar Zahawi
چکیده

This paper develops a Takagi-Sugeno fuzzy approach for modeling a DC-DC voltage-mode controlled buck converter as a nonlinear, nonsmooth system to capture all the essential fast-scale nonlinearities that occur at controller clock frequency. A tractable mathematical stability analysis, employing nonsmooth Lyapunov functions, is proposed for identifying converter fast-scale instabilities and the onset of bifurcation phenomena. The search for the Lyapunov functions is formulated as a Linear Matrix Inequalities (LMI) feasibility problem which may be solved using interior point methods.

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تاریخ انتشار 2008