Data-driven deadbeat control with application to output regulation

Data‐driven, robust output regulation in finite time for LTI systems

“…In addition, the interconnection gain between the external model and the stable plant is usually required to be small, with possibly detrimental effects on the transient response; as a consequence, such controllers cannot ensure a specific decay rate for the free response of the closed‐loop system. Motivated by the aforementioned difficulties and inspired by Carnevale et al, the main objective and contribution of this paper consist in presenting a data‐driven approach whose results extend the previous ones obtaining regulation in finite time even when the exosystem is not known a priori; further discussions on this point can be found in the works of de Carolis et al A technique for estimating in finite time the 0 moments (roughly speaking, the gains) of the plant at the frequencies of excitation associated to the unknown exosystem is developed by using only suitable input‐output data. In addition, the adopted estimation scheme is exact, namely, no error affects the estimated moments.…”

Robust Hybrid Output Regulation for Linear Systems With Periodic Jumps: The Non-Semiclassical Case

“…However, the solution of the robust hybrid output regulation problem in its generality, i.e. without the above restrictive assumptions, requires at least some form of adaptation of an otherwise linear regulator; such an approach, inspired by the non hybrid output regulation results in [8], [14], [32], is pursued for the first time here, in the form of a data driven algorithm that tunes the regulator on the actual plant under control.…”