Output regulation for linear discrete-time systems subject to input saturation

Output regulation for linear systems subject to input saturation

Ali Saberi School of Electrical Engineering and Computer Science Washington State University Pullman, WA 99164-2752 U.S.A. The purpose of this paper is to examine the problem of controlling a linear time-invariant system subject to input saturation in order to have its output track (or reject) a family of reference (or disturbance) signals produced by some external generator. It is shown that a...

Semi-global 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 input saturation is semi-globally 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 c...

Exponential Stabilizationof Linear Systems Subject to \ Input Saturation " via Linear

It is known that a linear time-invariant system subject to \input saturation" can be globally asymptotically stabilized if it has no eigenvalues with positive real parts. It is also shown by Fuller 4] and Sussmann and Yang 12] that in general one must use nonlinear control laws and only some special cases can be handled by linear control laws. In this paper we show the existence of linear state...

Discussion on: "Global Regulation of Input-Saturated Discrete-Time Linear Systems Subject to Persistent Disturbances"

where xðtÞ 2 R uðtÞ 2 U R, 8t 0 wðtÞ 2 V R, 8t 0 the aim is to find a state feedback function g :R ! R such that there exists a compact set containing the origin in its interior, which is globally attractive for all state trajectories of the closed loop system with u(t)1⁄4 g(x(t)). The trajectories have to ultimately enter this set without constraints violation. This problem can be reformulated...

Anti-windup strategies for discrete-time switched systems subject to input saturation