TY - JOUR
T1 - Robust H∞ control of delayed singular systems with linear fractional parametric uncertainties
AU - Zhou, Shaosheng
AU - Zheng, Wei Xing
PY - 2009
Y1 - 2009
N2 - This paper deals with the problem of robust H∞ control for delayed singular systems with parametric uncertainties. The parametric uncertainties are assumed to be of a linear fractional form, which includes the norm bounded uncertainty as a special case and can describe a class of rational nonlinearities. A strict linear matrix inequality (LMI) design approach is developed such that, when the LMI is feasible, a desired robust state feedback control law can be constructed, which guarantees that, for all admissible uncertainties, the resulting closed-loop system is not only regular, impulse free and stable, but also meets an H∞-norm bound constraint on disturbance attenuation. A numerical example is provided to demonstrate the application of the proposed method.
AB - This paper deals with the problem of robust H∞ control for delayed singular systems with parametric uncertainties. The parametric uncertainties are assumed to be of a linear fractional form, which includes the norm bounded uncertainty as a special case and can describe a class of rational nonlinearities. A strict linear matrix inequality (LMI) design approach is developed such that, when the LMI is feasible, a desired robust state feedback control law can be constructed, which guarantees that, for all admissible uncertainties, the resulting closed-loop system is not only regular, impulse free and stable, but also meets an H∞-norm bound constraint on disturbance attenuation. A numerical example is provided to demonstrate the application of the proposed method.
KW - linear matrix inequalities
KW - time delay systems
UR - http://handle.uws.edu.au:8081/1959.7/502417
U2 - 10.1016/j.jfranklin.2008.08.002
DO - 10.1016/j.jfranklin.2008.08.002
M3 - Article
SN - 0016-0032
VL - 346
SP - 147
EP - 158
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
IS - 2
ER -