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

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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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, , Limassol, Cyprus, 2018-06-12 - 2018-06-15

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