ℒ2-gain performance of nonlinear sampled-data systems with gain-scheduled control

This paper presents new sufficient conditions for stabilisation of sampled-data nonlinear systems, recast as quasi-linear parameter-varying models. The adopted control strategy considers gain-scheduled state-feedback controllers subject to induced input delay. The $ \mathcal {L}_2 $ L 2 -gain perfor...

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Bibliographic Details
Published inInternational journal of control Vol. 98; no. 7; pp. 1600 - 1611
Main Authors Oliveira, V. C., Campos, V. C. S., Frezzatto, L.
Format Journal Article
LanguageEnglish
Published Taylor & Francis 03.07.2025
Subjects
gain performance
gain scheduling
Lyapunov theory
mathcal {L}_2
nonlinear systems
sampled-data control
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Summary:This paper presents new sufficient conditions for stabilisation of sampled-data nonlinear systems, recast as quasi-linear parameter-varying models. The adopted control strategy considers gain-scheduled state-feedback controllers subject to induced input delay. The $ \mathcal {L}_2 $ L 2 -gain performance is investigated in the sense of Lyapunov. After the proposition of a Lyapunov function and with the application of Wirtinger's inequality, the derived conditions are rewritten in terms of linear matrix inequalities. Aiming at the enlargement of the aperiodic sampling time and at the minimisation of the $ \mathcal {L}_2 $ L 2 -gain, the effectiveness of the developed approach is assessed through numerical simulations.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2024.2410875