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Stability and stabilization of differential repetitive processes with time-delays over finite frequency ranges

Stability and stabilization of differential repetitive processes with time-delays over finite frequency ranges
Stability and stabilization of differential repetitive processes with time-delays over finite frequency ranges
This paper addresses the problem of stability and control law design for differential linear repetitive processes with time delays in the state vector. Delay-dependent conditions for stability along the pass of such processes are developed in terms of linear matrix inequalities. These results are then extended to include finite frequency specifications to reduce conservatism generated by considering the entire frequency spectrum. The method is based on the generalized Kalman-Yakubovich-Popov (KYP) lemma and hence finite frequency range performance specifications can be imposed during the stability checking with an extension to algorithms for control law design. A simulation example to demonstrate the new results is also given.
2272-2277
IEEE
Paszke, Wojciech
cb0ed465-63b4-4165-8606-fe76dc7f4752
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Tao, Hongfeng
565ef1a8-eb2c-4139-bdd9-ebd5baf4eebe
Galkowski, Krzysztof
322994ac-7e24-4350-ab72-cc80ac8078ef
Paszke, Wojciech
cb0ed465-63b4-4165-8606-fe76dc7f4752
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Tao, Hongfeng
565ef1a8-eb2c-4139-bdd9-ebd5baf4eebe
Galkowski, Krzysztof
322994ac-7e24-4350-ab72-cc80ac8078ef

Paszke, Wojciech, Rogers, Eric, Tao, Hongfeng and Galkowski, Krzysztof (2018) Stability and stabilization of differential repetitive processes with time-delays over finite frequency ranges. In 2018 European Control Conference, ECC 2018. IEEE. pp. 2272-2277 . (doi:10.23919/ECC.2018.8550157).

Record type: Conference or Workshop Item (Paper)

Abstract

This paper addresses the problem of stability and control law design for differential linear repetitive processes with time delays in the state vector. Delay-dependent conditions for stability along the pass of such processes are developed in terms of linear matrix inequalities. These results are then extended to include finite frequency specifications to reduce conservatism generated by considering the entire frequency spectrum. The method is based on the generalized Kalman-Yakubovich-Popov (KYP) lemma and hence finite frequency range performance specifications can be imposed during the stability checking with an extension to algorithms for control law design. A simulation example to demonstrate the new results is also given.

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Stability and stabilization of differential repetitive processes with - Accepted Manuscript
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More information

Accepted/In Press date: 8 February 2018
Published date: 27 November 2018
Additional Information: This paper has been accepted for the conference and will published in proceedings. It will need to be embargoed until at least the end of the conference. .
Venue - Dates: ECC 2018, Cyprus, 2018-06-12 - 2018-06-15

Identifiers

Local EPrints ID: 418185
URI: http://eprints.soton.ac.uk/id/eprint/418185
PURE UUID: af7e17af-bf2b-442b-a644-dd387f168352
ORCID for Eric Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 23 Feb 2018 17:30
Last modified: 07 Oct 2020 01:34

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