Dissipative stability theory for linear repetitive processes with application in iterative learning control

W. Paszke, P. Rapisarda, E. Rogers, M. Steinbuch

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Abstract

This paper develops a new set of necessary and sufficient conditionsfor the stability of linear repetitiveprocesses, based on a dissipative setting for analysis. Theseconditions reduce the problem of determining whether a linearrepetitive process is stable or not to that of checking for theexistence of a solution to a set of linear matrixinequalities (LMIs). Testing the resulting conditions only requirescomputations with matrices whose entries are constant in comparison toalternatives where frequency response computations are required.
Original languageEnglish
Title of host publicationProceedings of the 48th IEEE Conference on Decision and Control (CDC 2009), 16-18 December 2009, Shanghai, China
PublisherInstitute of Electrical and Electronics Engineers
Publication statusPublished - 2009

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    Paszke, W., Rapisarda, P., Rogers, E., & Steinbuch, M. (2009). Dissipative stability theory for linear repetitive processes with application in iterative learning control. In Proceedings of the 48th IEEE Conference on Decision and Control (CDC 2009), 16-18 December 2009, Shanghai, China Institute of Electrical and Electronics Engineers.