State Observers for Systems Subject to Bounded Disturbances Using Quadratic Boundedness

Quadratic boundedness is adopted to construct state observers for linear, piecewise linear, and Lipschitz nonlinear systems subject to bounded disturbances. Upper bounds on the estimation error are derived by exploiting quadratic boundedness and a design method based on linear matrix inequalities is...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 65; no. 12; pp. 5352 - 5359
Main Authors Alessandri, Angelo, Boem, Francesca
Format Journal Article
LanguageEnglish
Published New York IEEE 01.12.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Disturbances
Linear matrix inequalities
Mathematical analysis
noises measurement
Nonlinear systems
Observers
State estimation
State observers
Upper bound
Upper bounds
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ISSN0018-9286
1558-2523
2334-3303
1558-2523
DOI10.1109/TAC.2020.2966720

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Summary:Quadratic boundedness is adopted to construct state observers for linear, piecewise linear, and Lipschitz nonlinear systems subject to bounded disturbances. Upper bounds on the estimation error are derived by exploiting quadratic boundedness and a design method based on linear matrix inequalities is proposed to minimize such bounds. Simulation results are provided to show the effectiveness of the proposed approach.
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ISSN:0018-9286
1558-2523
2334-3303
1558-2523
DOI:10.1109/TAC.2020.2966720