Calculation of all H∞ robust stabilizing gains for SISO LTI systems

MT Söylemez, N Bayhan - IFAC Proceedings Volumes, 2008 - Elsevier
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 …
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