A switched and scheduled design for model recovery anti-windup of linear plants. (March 2019)

• Record Type: Journal Article
• Authors: Cristofaro, Andrea; Galeani, Sergio; Onori, Simona; Zaccarian, Luca
• Is Part Of: European journal of control. Volume 46(2019)
• Page Start: 23
• Page End: 35
• Publication Date: 2019-03
• Subjects: Model recovery anti-windup -- Scheduled stabilizer -- Switched stabilizer -- Bounded control; Control theory -- Periodicals; Automatic control -- Periodicals; Automatic control -- Mathematics -- Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.ejcon.2018.04.002
• Languages: English
• ISSNs: 0947-3580

Abstract

Abstract: We provide two nonlinear solutions to the model recovery anti-windup (MRAW) design problem, both of them relying on the definition of a set of nested ellipsoids in the state space of the anti-windup dynamics. Each ellipsoidal set arises from a convenient trade-off between size of the ellipsoid and guaranteed exponential convergence rate induced by the corresponding saturated feedback. The first solution is given by a hybrid selection of the MRAW stabilizer, relying on a natural hysteresis switching mechanism. The second solution corresponds to a Lipschitz but non-differentiable scheduled selection, which essentially smoothens out the discontinuous nature of the nested ellipsoids. We discuss the role of our design architecture and establish a number of important properties induced by the proposed controllers. Their effectiveness is comparatively illustrated on a few example studies.