Abstract
This brief proposes a novel anti-windup scheme for linear systems subject to asymmetric input saturation. The asymmetrically saturated system is converted into an equivalent one with symmetric saturation through coordinate transformation. Based on the transformed model, we establish the set invariance condition of the resulting closed-loop system. This condition is less conservative since the non-symmetric nature of the saturation nonlinearity can be fully exploited in the control design. An optimization algorithm to maximize the invariant set is further developed for anti-windup gain design. The theoretical aspect of this method is analyzed rigorously, and the effectiveness is verified through an application to the aircraft engine control with experiments performed on a semi-physical test bed.
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