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

Dissipative stability theory for linear repetitive processes with application in iterative learning control
Dissipative stability theory for linear repetitive processes with application in iterative learning control
This paper develops a new set of necessary and sufficient conditions for the stability of linear repetitive processes, based on a dissipative setting for analysis. These conditions reduce the problem of determining whether a linear repetitive process is stable or not to that of checking for the existence of a solution to a set of linear matrix inequalities (LMIs). Testing the resulting conditions only requires compu- tations with matrices whose entries are constant in comparison to alternatives where frequency response computations are required.
Paszke, Wojuech
b1f7ccc7-4770-446a-b0d0-434244c18653
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Steinbuch, Maarten
1b47e257-d2b5-46b4-87e8-231f98dbc365
Paszke, Wojuech
b1f7ccc7-4770-446a-b0d0-434244c18653
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Steinbuch, Maarten
1b47e257-d2b5-46b4-87e8-231f98dbc365

Paszke, Wojuech, Rapisarda, Paolo, Rogers, Eric and Steinbuch, Maarten (2009) Dissipative stability theory for linear repetitive processes with application in iterative learning control. Proc. of Symposium on Learning Control at IEEE CDC 2009, Shangai, China.

Record type: Conference or Workshop Item (Paper)

Abstract

This paper develops a new set of necessary and sufficient conditions for the stability of linear repetitive processes, based on a dissipative setting for analysis. These conditions reduce the problem of determining whether a linear repetitive process is stable or not to that of checking for the existence of a solution to a set of linear matrix inequalities (LMIs). Testing the resulting conditions only requires compu- tations with matrices whose entries are constant in comparison to alternatives where frequency response computations are required.

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More information

Published date: December 2009
Venue - Dates: Proc. of Symposium on Learning Control at IEEE CDC 2009, Shangai, China, 2009-12-01
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 272760
URI: https://eprints.soton.ac.uk/id/eprint/272760
PURE UUID: 8a69a0ee-2529-43b9-95e5-3c8153735d63

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Date deposited: 12 Sep 2011 08:53
Last modified: 18 Jul 2017 06:20

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Contributors

Author: Wojuech Paszke
Author: Paolo Rapisarda
Author: Eric Rogers
Author: Maarten Steinbuch

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