| Semi-Global Exponential Stabilization of Linear Discrete-Time Systems Subject to Input Saturation via Linear Feedbacks (1994) | |||||||||||||||||
Abstract | |||||||||||||||||
| In this paper, we show that a linear discrete-time system subject to input saturation is semiglobally exponentially stabilizable via linear state and/or output feedback laws as long as the system in the absence of input saturation is stabilizable and detectable, and has all its poles located inside or on the unit circle. Furthermore, the semi-globally stabilizing feedback laws are explicitly constructed. The results presented here are parallel to our earlier results on the continuous-time counterpart [?]. Key Words: Semi-global exponential stabilization, input saturation, bounded control, linear low-gain feedbacks, linear discrete-time systems. 1 1. Introduction In this paper we focus on the problem of stabilization of a general linear system which is subject to input saturation. This problem has a rich history (see, for example, [?]), and much of the literature of the 1950's and 1960's on the absolute stability was motivated by this problem (see, for example, [?], [?], [?]). Recen... | |||||||||||||||||
Publication details | |||||||||||||||||
| |||||||||||||||||