Design of multiple anti-windup loops for multiple activations

This paper considers anti-windup design for linear systems subject to actuator saturation. Three anti-windup gains are designed for activations immediately at the occurrence actuator saturation, after the saturation has reached a certain level and in anticipation of the occurrence of saturation, respectively. The design is based on the minimization of L2 gain from the disturbance to the controlled output of the resulting closed-loop system. Traditional anti-windup scheme involves a single anti-windup loop for immediate activation. A recent innovation is to design a single anti-windup loop for delayed or anticipatory activation, as well as to design two anti-windup gains, one for immediate activation and one for delayed activation. Our design of three anti-windup gains for three different activations is shown through simulation to lead to significant further performance improvement over the previous activation schemes.

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