Fast identification and stabilization of unknown linear systems

IFAC-PapersOnLine, vol. 56, pp. 6241–6246

Abstract

In the present work, a simple algorithm for stabilizing an unknown linear time-invariant system is proposed, assuming only that this system is stabilizable. The suggested algorithm is based on first performing a partial identification of the system and then stabilizing the controllable subsystem. It should be emphasized that our approach does not depend on any prior model knowledge and requires only a minimal number of samples.

Authors 2

1. Dennis Gramlich corresponding Aachen Chair of Intelligent Control Systems

   RWTH Aachen University

   Affiliation as printed

   Chair of Intelligent Control Systems, RWTH-Aachen, D-52074 Aachen, Germany

2. Christian Ebenbauer corresponding Aachen Chair of Intelligent Control Systems

   RWTH Aachen University

   Affiliation as printed

   Chair of Intelligent Control Systems, RWTH-Aachen, D-52074 Aachen, Germany