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Repetitive control of tracking systems with time-varying periodic references
Authors:Bagus Mahawan  Zheng-Hua Luo
Affiliation:1. Laboratoire d'Analyse et d'Architecture des Systèmes , Centre National de la Recherche Scientifique , 7 avenue du colonel Roche, cedex 4, 31077 Toulouse, France;2. Laboratoire Automatique et Informatique Industrielle , Ecole Supérieure d'Ingénieurs de Poitiers , 40 avenue du recteur Pineau, Poitiers cedex, 86022, France
Abstract:A new repetitive control scheme is proposed for tracking control of systems with reference signals which are not necessarily time periodic functions. The L 2-stability of the closed-loop system is rigorously proved by using operator theory in functional analysis and moreover it is shown that under certain conditions, the tracking error converges to zero asymptotically. The proposed control scheme is applied to the tracking control of an AC motor, and simulation and experimental results are presented to show the effectiveness of the new repetitive control scheme.
Keywords:state-derivative feedback  linear matrix inequalities (LMI)  pole placement  uncertain systems  structural failures
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