SEMIGLOBAL EXPONENTIAL STABILIZATION OF LINEAR DISCRETE-TIME-SYSTEMS SUBJECT TO INPUT SATURATION VIA LINEAR FEEDBACKS

In this paper, we show that a linear discrete-time system subject to i nput saturation is semi-globally exponentially stabilizable via linear state and/or output feedback laws as long as the system in the absenc e of input saturation is stabilizable and detectable, and has all its poles located inside or on the unit circle. Furthermore, the semi-glob ally stabilizing feedback laws are explicitly constructed. The results presented here are parallel to our earlier results on the continuous- time counterpart (Lin and Saberi, 1993).