TY - JOUR
T1 - Low-frequency robust control for singularly perturbed system
AU - Yuan, Yuan
AU - Sun, Fuchun
AU - Liu, Huaping
AU - Yang, Hongjiu
N1 - Publisher Copyright:
© The Institution of Engineering and Technology 2015.
PY - 2015/1/19
Y1 - 2015/1/19
N2 - This study is concerned with the low-frequency (LF) integral quadratic constraints (IQC) of the linear singularly perturbed model (SPM). The conditions satisfying LF IQC are derived in terms of linear matrix inequalities by using the generalised Kalman-Yakubovich-Popov lemma. As special cases of LF IQC, LF bounded realness and LF positive realness are exploited in detail. In addition, upper bound of the small perturbation parameter, which relates to the robustness of SPM, can be estimated. Numerical simulations demonstrate that the proposed method can reduce the conservatism and characterise the SPM more specifically by ignoring the unrelated frequency range.
AB - This study is concerned with the low-frequency (LF) integral quadratic constraints (IQC) of the linear singularly perturbed model (SPM). The conditions satisfying LF IQC are derived in terms of linear matrix inequalities by using the generalised Kalman-Yakubovich-Popov lemma. As special cases of LF IQC, LF bounded realness and LF positive realness are exploited in detail. In addition, upper bound of the small perturbation parameter, which relates to the robustness of SPM, can be estimated. Numerical simulations demonstrate that the proposed method can reduce the conservatism and characterise the SPM more specifically by ignoring the unrelated frequency range.
UR - http://www.scopus.com/inward/record.url?scp=84921715070&partnerID=8YFLogxK
U2 - 10.1049/iet-cta.2013.0854
DO - 10.1049/iet-cta.2013.0854
M3 - 文章
AN - SCOPUS:84921715070
SN - 1751-8644
VL - 9
SP - 203
EP - 210
JO - IET Control Theory and Applications
JF - IET Control Theory and Applications
IS - 2
ER -