IEEE Transactions on Automatic Control, Vol.48, No.12, 2196-2198, 2003
Inite gain l(P) stabilization of discrete-time linear systems subject to actuator saturation: The case of p=1
It has been established by Bao, Lin, and Sontag (2000) that, for neutrally stable discrete-time linear systems subject to actuator saturation, finite gain l(p) stabilization can be achieved by linear output feedback, for every p is an element of (1, infinity] except p = 1. An, explicit construction of the corresponding feedback laws was given. The feedback laws constructed also resulted in a closed-loop system that is globally asymptotically stable. This note complements the results of Ban, Lin, and Sontag (2000) by showing that they also hold for the case of p = 1. In establishing our results for p = 1, we also allow the presence of certain additional external disturbance.