We consider the static output feedback, finite-time disturbance rejection problem for linear systems with time-varying norm-bounded uncertainties. The first result provided in the paper is a sufficient condition for finite-time state feedback disturbance rejection in the presence of constant disturbances. This condition requires the solution of an LMI. Then we consider the more general output feedback case, which is shown to be reducible to the solution of an optimization problem involving bilinear matrix inequalities. Finally we deal with the case in which the disturbance is time-varying and generated by a linear system.
Proceedings of the 1999 American Control Conference
bilinear matrix inequalities, Linear matrix inequalities, Control systems
Abdallah, Chaouki T.; F. Amato; M. Ariola; and Peter Dorato. "Finite-time control for uncertain linear systems with disturbance inputs." Proceedings of the 1999 American Control Conference (1999): 1776-1780. doi:10.1109/ACC.1999.786148.