Anti-windup schemes for discrete time systems: an LMI-based design

Two anti-windup schemes for discrete time systems to achieve global stability and induced l/sub 2/ performance are presented. The first scheme is a direct extension of an existing static anti-windup scheme for continuous systems. As in continuous time, a problem of implementing an algebraic loop formed arises. However, while preserving the stability and performance, an iterative algorithm to solve the algebraic loop within its prescribed time sampling may be employed. Alternatively, a closely related explicit static anti-windup scheme is proposed, in which no iterative solution at each time step is required. Simulation results are given for both schemes.