Reduced-Order State Observers for Linear Discrete-time Positive Systems

For linear discrete-time positive systems the paper proposes an approach reflecting structural system constraints and positiveness in solving the problem of reduced-order positive observer design. Common system parameter constraints are represented in the form of linear matrix inequalities, combined...

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Bibliographic Details
Published in2020 21th International Carpathian Control Conference (ICCC) pp. 1 - 6
Main Authors Krokavec, Dusan, Filasova, Anna
Format Conference Proceeding
LanguageEnglish
Published IEEE 27.10.2020
Subjects
diagonal stabilization
Discrete-time systems
Linear matrix inequalities
Linear systems
Mathematical model
Observers
Positive linear systems
reduced-order state observers
Symmetric matrices
Task analysis
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Summary:For linear discrete-time positive systems the paper proposes an approach reflecting structural system constraints and positiveness in solving the problem of reduced-order positive observer design. Common system parameter constraints are represented in the form of linear matrix inequalities, combined with observer \mathrm{H}_{\infty} norm bound, to guarantee the observer asymptotic stability. A numerical example is included to assess the feasibility of the proposed technique.
DOI:10.1109/ICCC49264.2020.9257255