Calculation of All H∞ Robust Stabilizing Gains for SISO LTI Systems

نویسندگان

  • Mehmet Turan Söylemez
  • Nevra Bayhan
چکیده

Robust stabilization of continuous time single-input single-output (SISO) linear time invariant (LTI) systems with multiplicative uncertainties is considered in this paper. In particular, it has been shown that all gains that robustly stabilize a given uncertain SISO LTI system can be found by utilizing a generalization of the Nyquist theorem. The method proposed involves calculation of roots of two real polynomials and does not require any search or gridding over a parameter, and as a result offers computational advantages over existing methods in literature.

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تاریخ انتشار 2008