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

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

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

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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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 language	English
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

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title = "Dissipative stability theory for linear repetitive processes with application in iterative learning control",

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.",

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year = "2009",

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Dissipative stability theory for linear repetitive processes with application in iterative learning control

AU - Paszke, W.

AU - Rapisarda, P.

AU - Rogers, E.

AU - Steinbuch, M.

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

M3 - Conference contribution

BT - Proceedings of the 48th IEEE Conference on Decision and Control (CDC 2009), 16-18 December 2009, Shanghai, China

PB - Institute of Electrical and Electronics Engineers

ER -

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

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