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Application of a frequency-discretization technique for stability and control of uncertain differential linear repetitive processes

Application of a frequency-discretization technique for stability and control of uncertain differential linear repetitive processes
Application of a frequency-discretization technique for stability and control of uncertain differential linear repetitive processes

The paper investigates the problem of stability analysis of differential linear repetitive processes with norm-bounded uncertainties. By applying a version of the Kalman-Yakubovich-Popov (KYP) Lemma, relaxed conditions for stability along the pass are proposed in terms of linear matrix inequalities (LMIs), which can be easily solved via standard numerical software. In particular, the conservatism of the resulting condition for stability along the pass can be significantly reduced by dividing the entire frequency domain into several sub-intervals and by applying KYP Lemma to each frequency sub-interval. Moreover, the obtained stability result is suitable for extension to robust control law design for processes with norm bounded uncertainty. Finally, a numerical example is provided to illustrate the application of the developed results.

658-663
Institute of Electrical and Electronics Engineers Inc.
Boski, Marcin
39a3dbfe-0ed6-4815-b271-4d86d26efe65
Paszke, Wojciech
cb0ed465-63b4-4165-8606-fe76dc7f4752
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Boski, Marcin
39a3dbfe-0ed6-4815-b271-4d86d26efe65
Paszke, Wojciech
cb0ed465-63b4-4165-8606-fe76dc7f4752
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72

Boski, Marcin, Paszke, Wojciech and Rogers, Eric (2018) Application of a frequency-discretization technique for stability and control of uncertain differential linear repetitive processes. In 2018 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018. Institute of Electrical and Electronics Engineers Inc. pp. 658-663 . (doi:10.1109/MMAR.2018.8486034).

Record type: Conference or Workshop Item (Paper)

Abstract

The paper investigates the problem of stability analysis of differential linear repetitive processes with norm-bounded uncertainties. By applying a version of the Kalman-Yakubovich-Popov (KYP) Lemma, relaxed conditions for stability along the pass are proposed in terms of linear matrix inequalities (LMIs), which can be easily solved via standard numerical software. In particular, the conservatism of the resulting condition for stability along the pass can be significantly reduced by dividing the entire frequency domain into several sub-intervals and by applying KYP Lemma to each frequency sub-interval. Moreover, the obtained stability result is suitable for extension to robust control law design for processes with norm bounded uncertainty. Finally, a numerical example is provided to illustrate the application of the developed results.

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More information

Published date: 8 October 2018
Venue - Dates: 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018, Miedzyzdroje, Poland, 2018-08-27 - 2018-08-30

Identifiers

Local EPrints ID: 426496
URI: http://eprints.soton.ac.uk/id/eprint/426496
PURE UUID: 79d719d1-f770-4592-a805-7b5b93a78339
ORCID for Eric Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 29 Nov 2018 17:30
Last modified: 20 Jul 2019 01:24

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