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.
|Title of host publication||Proceedings of the 48th IEEE Conference on Decision and Control (CDC 2009), 16-18 December 2009, Shanghai, China|
|Publisher||Institute of Electrical and Electronics Engineers|
|Publication status||Published - 2009|
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.