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New relaxed stability and stabilization conditions for both discrete and differential linear repetitive processes

New relaxed stability and stabilization conditions for both discrete and differential linear repetitive processes
New relaxed stability and stabilization conditions for both discrete and differential linear repetitive processes
The paper develops new results on stability analysis and stabilization of linear repetitive processes. Repetitive processes are a distinct subclass of two-dimensional (2D) systems, whose origins are in the modeling for control of mining and metal rolling operations. The reported systems theory for them has been applied in other areas such iterative learning control, where, uniquely among 2D systems based designs, experimental validation results have been reported. This paper uses a version of the Kalman–Yakubovich–Popov Lemma to develop new less conservative conditions for stability in terms of linear matrix inequalities, with an extension to control law design. Differential and discrete dynamics are analysed in an unified manner, and supporting numerical examples are given.
0923-6082
223–245
Boski, Marcin
39a3dbfe-0ed6-4815-b271-4d86d26efe65
Maniarski, Robert
86f11746-b60d-4141-9b76-4b31b7a9746c
Paszke, Wojciech
81c57e06-5f8c-4905-9922-66090aa2e20c
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Boski, Marcin
39a3dbfe-0ed6-4815-b271-4d86d26efe65
Maniarski, Robert
86f11746-b60d-4141-9b76-4b31b7a9746c
Paszke, Wojciech
81c57e06-5f8c-4905-9922-66090aa2e20c
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72

Boski, Marcin, Maniarski, Robert, Paszke, Wojciech and Rogers, Eric (2021) New relaxed stability and stabilization conditions for both discrete and differential linear repetitive processes. Multidimensional Systems and Signal Processing, 33, 223–245. (doi:10.1007/s11045-021-00791-y).

Record type: Article

Abstract

The paper develops new results on stability analysis and stabilization of linear repetitive processes. Repetitive processes are a distinct subclass of two-dimensional (2D) systems, whose origins are in the modeling for control of mining and metal rolling operations. The reported systems theory for them has been applied in other areas such iterative learning control, where, uniquely among 2D systems based designs, experimental validation results have been reported. This paper uses a version of the Kalman–Yakubovich–Popov Lemma to develop new less conservative conditions for stability in terms of linear matrix inequalities, with an extension to control law design. Differential and discrete dynamics are analysed in an unified manner, and supporting numerical examples are given.

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e-pub ahead of print date: 17 September 2021

Identifiers

Local EPrints ID: 454864
URI: http://eprints.soton.ac.uk/id/eprint/454864
ISSN: 0923-6082
PURE UUID: 37afa181-5eb2-4bff-89e9-8bc91ce2a641
ORCID for Eric Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 28 Feb 2022 17:34
Last modified: 28 Apr 2022 01:35

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Contributors

Author: Marcin Boski
Author: Robert Maniarski
Author: Wojciech Paszke
Author: Eric Rogers ORCID iD

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