Semi-global stabilization of linear systems subject to output saturation

It is established that a SISO linear stabilizable and detectable system sub ject to output saturation can be semi-globally stabilized by linear output feedback if all its invariant zeros are in the closed left-half plane, no m atter where the open loop poles are. This result complements a recent resul t that such systems can always be globally stabilized by discontinuous nonl inear feedback laws, and can be viewed as dual to a well-known result: a li near stabilizable and detectable system subject to input saturation can be semi-globally stabilized by linear output feedback if all its poles are in the open left-half plane, no matter where the invariant zeros are. (C) 2001 Elsevier Science B.V. All rights reserved.