Calculation Of All H infinity Robust Stabilizing Gains For SISO LTI Systems
The 17th World Congress Of The International Federation Of Automatic Control (IFAC World Congress 2008), South Korea, 1 - 04 July 2008, vol.17, no.1, pp.3982-3987, (Full Text)
- Publication Type: Conference Paper / Full Text
- Volume: 17
- Country: South Korea
- Page Numbers: pp.3982-3987
- Istanbul University Affiliated: Yes
Abstract
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.