Robust Switched State Feedback design for linear uncertain systems subject to disturbances

A state feedback design for linear uncertain sys-tems is proposed. To attenuate the effect of disturbances on the output of the system two performance indexes are included in the control design. For \mathcal{L}_{2} disturbances the results ensures that the closed loop system has an \mathcal{H}_{\inf...

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Bibliographic Details
Published inProceedings (IEEE International Workshop on Variable Structure Systems) pp. 22 - 28
Main Authors Faria, Flavio Andrade, Barroso, Mateus Aquila, Lazarini, Adalberto Zanatta Neder, Assuncao, Edvaldo, Cardim, Rodrigo, Teixeira, Marcelo Carvalho Minhoto
Format Conference Proceeding
LanguageEnglish
Published IEEE 11.09.2022
Subjects
Conferences
Control design
Costs
State feedback
Switches
Uncertain systems
Variable structure systems
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ISSN2158-3986
DOI10.1109/VSS57184.2022.9902084

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Summary:A state feedback design for linear uncertain sys-tems is proposed. To attenuate the effect of disturbances on the output of the system two performance indexes are included in the control design. For \mathcal{L}_{2} disturbances the results ensures that the closed loop system has an \mathcal{H}_{\infty} guaranteed cost and for \mathcal{L}_{\infty} disturbances a L 1 performance index is achieved. The stabilization conditions are given in terms of LMIs. To improve the control performance and relax the LMI conditions a switched controller which avoids chattering is proposed. Numerical examples illustrate the efficiency of the stabilizing conditions.
ISSN:2158-3986
DOI:10.1109/VSS57184.2022.9902084