Positive polynomials and robust stabilization with fixed-order controllers

  title={Positive polynomials and robust stabilization with fixed-order controllers},
  author={Didier Henrion and Michael Sebek and Vladim{\'i}r Kucera},
  journal={IEEE Trans. Automat. Contr.},
Recent results on positive polynomials are used to obtain a convex inner approximation of the stability domain in the space of coefficients of a polynomial. An application to the design of fixed-order controllers robustly stabilizing a linear system subject to polytopic uncertainty is then proposed, based on LMI optimization. The key ingredient in the design procedure resides in the choice of a central polynomial, or desired nominal closed-loop characteristic polynomial. Several numerical… CONTINUE READING
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