This paper presents a dynamical anti-reset windup method for multivari
able discrete-time saturating control systems. With the intention of m
aintaining the behavior of unsaturated linear systems as far as possib
le, an additional dynamical compensator is determined explicitly for t
he saturating system. Due to the additional compensator, the state pos
itioning problem of saturated systems is completely resolved. The prop
osed method guarantees total stability of resulting systems, and asymp
totic stability in the absence of exogeneous inputs can be addressed e
asily. The resulting dynamics of the compensated controller reflects t
he linear closed-loop system. The proposed method is applicable to any
open-loop stable plants with saturating actuators and linear controll
ers. Simulation examples are included to illustrate the effectiveness
of the proposed method. (C) 1997 Elsevier Science Ltd.