Adaptive tracking control of uncertain switched non-linear systems with application to aircraft wing rock

This study proposes an adaptive control scheme for global tracking of a class of switched non-linear systems involving unknown saturated-like Prandtl-Ishlinskii (PI) hysteresis. The switching information is assumed to be unobservable. A bound estimation approach is introduced to circumvent the obstacle caused by unknown switching and PI hysteresis. It is shown that under arbitrary switching, the proposed controller guarantees all signals of the overall closed-loop system are globally uniformly bounded, and the tracking error can converge to an arbitrarily small residual set. The proposed control scheme is tested on a typical wing rock system in the face of persistent aerodynamic parameter changes. Simulation results demonstrate suppression of the wing rock and exhibit better transient performance in comparison with some existing method.