TY - GEN
T1 - Robust performance analysis of affine single parameter-dependent systems with polynomially parameter-dependent Lyapunov matrices
AU - Sadabadi, Mahdieh Sadat
AU - Karimi, Alireza
N1 - Publisher Copyright:
© IFAC.
PY - 2014/9
Y1 - 2014/9
N2 - This paper addresses the problem of H2 and H2 performance analysis of continuous-time affine single parameter-dependent systems with polynomially parameter-dependent Lyapunov matrices. First, some necessary and sufficient conditions in terms of linear matrix inequalities (LMIs) are provided using (D, G) scaling approach. Then, the results are used to deal with the problem of fixed-order H∞ and H2 controller design via bilinear matrix inequalities (BMIs) in a nonconservative way. Simulation results demonstrate the effectiveness of the proposed approach.
AB - This paper addresses the problem of H2 and H2 performance analysis of continuous-time affine single parameter-dependent systems with polynomially parameter-dependent Lyapunov matrices. First, some necessary and sufficient conditions in terms of linear matrix inequalities (LMIs) are provided using (D, G) scaling approach. Then, the results are used to deal with the problem of fixed-order H∞ and H2 controller design via bilinear matrix inequalities (BMIs) in a nonconservative way. Simulation results demonstrate the effectiveness of the proposed approach.
UR - http://www.scopus.com/inward/record.url?scp=84929773451&partnerID=8YFLogxK
U2 - 10.3182/20140824-6-za-1003.00787
DO - 10.3182/20140824-6-za-1003.00787
M3 - Conference contribution
AN - SCOPUS:84929773451
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 6141
EP - 6146
BT - 19th IFAC World Congress IFAC 2014
A2 - Boje, Edward
A2 - Xia, Xiaohua
PB - International Federation of Automatic Control (IFAC)
T2 - 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014
Y2 - 24 August 2014 through 29 August 2014
ER -