ABSTRACT
The control problem for linear systems with actuator amplitude satu-
136 Pan and Kapila
ration has been a topic of considerable interest over the past several years. For continuous-time systems, an extensive literature is devoted to it (see, e.g., [3,10,12,21,25] and the numerous references therein). In addition, for continuous-time systems, the control design problem with simultaneous actuator amplitude and rate saturation has recently received significant attention [15,17,18,20,26,27]. Since most physical processes evolve naturally in continuous time, it is not surprising that the bulk of the actuator saturation control theory has been developed for continuous-time systems. Nevertheless, it is the overwhelming trend to implement controllers digitally. The references that address the actuator amplitude saturation control issue for discrete-time systems include [13,14,16,22]. In particular, for discretetime systems, Riccati equation-based global and semi-global stabilization techniques for actuator amplitude saturation control have been developed in [16,22]. In addition, the application of an anti-windup actuator saturation control framework to discrete-time systems is given in [14]. In a recent paper [13], a Riccati equation-based global and local static, output feedback control design framework for discrete-time systems with time-varying, sector-bounded, input nonlinearities was developed. Unfortunately, however, in contrast to the continuous-time systems, the problem of stabilizing discrete-time systems in the presence of control signal amplitude and rate saturation has received scant attention.
