On simultaneous global external and global internal stabilization of critically unstable linear systems with saturating actuators

Deals with simultaneous global external as well as global internal stabilization of linear systems with saturating actuators. The paper proposes a new family of scheduled low-and-high gain state feedback laws that yields a closed-loop system which is both globally finite gain L _p stable and globally asymptotically stable. Moreover, the controller has an explicit design parameter that can be adjusted to make the L_p gain of the closed-loop system arbitrarily small