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New results on strong practical stability and stabilization of discrete linear repetitive processes

New results on strong practical stability and stabilization of discrete linear repetitive processes
New results on strong practical stability and stabilization of discrete linear repetitive processes
Discrete linear repetitive processes operate over a subset of the upper-right quadrant of the 2D plane. They
arise in the modeling of physical processes and also the existing systems theory for them can be used to
effect in solving control problems for other classes of systems, including iterative learning control design.
This paper uses a form of the generalized Kalman–Yakubovich–Popov (GKYP) Lemma to develop new
linear matrix inequality (LMI) based stability conditions and control law design algorithms for the strong
practical stability property. Relative to alternatives, the LMIs for stability have a simpler structure and
it is not required to impose particular structures on the matrix variables. These properties are extended
to control law design, including those where state vector access is not required. Illustrative numerical
simulation examples conclude the paper.
0167-6911
22-29
Paszke, W.
dd4b8f12-17c7-45ee-bfb0-e9675bd7d854
Dabkowski, P.
128f28cb-8280-4526-81d9-600afc34bfbf
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
Galkowski, K.
40c02cf5-8fcb-44de-bb1e-f9f70fdd265d
Paszke, W.
dd4b8f12-17c7-45ee-bfb0-e9675bd7d854
Dabkowski, P.
128f28cb-8280-4526-81d9-600afc34bfbf
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
Galkowski, K.
40c02cf5-8fcb-44de-bb1e-f9f70fdd265d

Paszke, W., Dabkowski, P., Rogers, E. and Galkowski, K. (2015) New results on strong practical stability and stabilization of discrete linear repetitive processes. Systems & Control Letters, 77, 22-29. (doi:10.1016/j.sysconle.2014.12.009).

Record type: Article

Abstract

Discrete linear repetitive processes operate over a subset of the upper-right quadrant of the 2D plane. They
arise in the modeling of physical processes and also the existing systems theory for them can be used to
effect in solving control problems for other classes of systems, including iterative learning control design.
This paper uses a form of the generalized Kalman–Yakubovich–Popov (GKYP) Lemma to develop new
linear matrix inequality (LMI) based stability conditions and control law design algorithms for the strong
practical stability property. Relative to alternatives, the LMIs for stability have a simpler structure and
it is not required to impose particular structures on the matrix variables. These properties are extended
to control law design, including those where state vector access is not required. Illustrative numerical
simulation examples conclude the paper.

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Accepted/In Press date: 27 December 2014
e-pub ahead of print date: 28 January 2015
Published date: March 2015
Organisations: Vision, Learning and Control

Identifiers

Local EPrints ID: 402654
URI: http://eprints.soton.ac.uk/id/eprint/402654
ISSN: 0167-6911
PURE UUID: af095b66-9b5d-43eb-a56a-6341b6cdce04
ORCID for E. Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 11 Nov 2016 11:06
Last modified: 26 Nov 2019 02:05

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