TY - GEN
T1 - Calculation of all H∞ robust stabilizing gains for SISO LTI systems
AU - Söylemez, Mehmet Turan
AU - Bayhan, Nevra
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
KW - Analytic design
KW - Robust controller synthesis
KW - Time-invariant systems
UR - http://www.scopus.com/inward/record.url?scp=79961019064&partnerID=8YFLogxK
U2 - 10.3182/20080706-5-KR-1001.1523
DO - 10.3182/20080706-5-KR-1001.1523
M3 - Conference contribution
AN - SCOPUS:79961019064
SN - 9783902661005
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
BT - Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
T2 - 17th World Congress, International Federation of Automatic Control, IFAC
Y2 - 6 July 2008 through 11 July 2008
ER -