We consider the stabilization problem of a discrete-time system that switches among a finite set of un-known linear subsystems under unknown switching signal. To this end, we propose a method that uses data to directly design a control mechanism without any explicit identification step. Our approach is online, meaning that the data are collected over time while the system is evolving in closed-loop, and are directly used to iteratively update the controller. A major benefit of the proposed online implementation is therefore the ability of the controller to automatically adjust to changes in the operating mode of the system. We show that the proposed control mechanism guarantees exponential stability of the closed-loop switched system under sufficiently slow switching. The effectiveness of the approach is illustrated via a numerical example.
Online Data-driven Stabilization of Switched Linear Systems / Rotulo M.; De Persis C.; Tesi P.. - ELETTRONICO. - (2021), pp. 300-305. (Intervento presentato al convegno 2021 European Control Conference, ECC 2021 tenutosi a nld nel 2021) [10.23919/ECC54610.2021.9654997].
Online Data-driven Stabilization of Switched Linear Systems
Tesi P.
2021
Abstract
We consider the stabilization problem of a discrete-time system that switches among a finite set of un-known linear subsystems under unknown switching signal. To this end, we propose a method that uses data to directly design a control mechanism without any explicit identification step. Our approach is online, meaning that the data are collected over time while the system is evolving in closed-loop, and are directly used to iteratively update the controller. A major benefit of the proposed online implementation is therefore the ability of the controller to automatically adjust to changes in the operating mode of the system. We show that the proposed control mechanism guarantees exponential stability of the closed-loop switched system under sufficiently slow switching. The effectiveness of the approach is illustrated via a numerical example.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.