Horizon-switching Predictive Set-point Tracking under Input-increment Saturations and Persistent Disturbances

Abstract

Predictive switching logic schemes are considered whereby a feedback-gain is switched-on at any time from a family of candidate feedback-gains so as to deal with the problem of set-point tracking in Asymptotically Null-controllable with Bounded Input (ANCBI) systems under input-increment saturations and persistent arbitrary bounded disturbances. It is constructively shown that such schemes do exist which ensure, along with good tracking performance, global asymptotic and semi-global exponential stability in the noiseless case, as well as bounded-noise bounded-state l∞-stability, whenever the disturbances enter the system in such a way to make these properties conceptually achievable.