Scheduled anticipatory anti-windup design

This paper considers scheduled anti-windup design of linear systems in the presence of input saturation. We introduce the scheduled controller design method into the anticipatory anti-windup scheme. The proposed controllers are triggered depending on the response of the system, rather than only considering the worst noise case off-line, and then activating the anti-windup scheme before the physical actuator arrives saturation. The system stability and certain levels of performance are guaranteed under the proposed anti-windup scheme. The control feedback law is analyzed under the scheme of static feedback compensator, while the results are presented using the linear matrix inequality technique. The advantage of the proposed scheduled anticipatory scheme over immediate activation is illustrated through a numerical example.