Estimation of the state of a technical system with substantially non-linear characteristics

The article considers the problem of estimating the state of the technical system described by nonlinear differential equations. An approach is proposed to design reduced-order asymptotic observers for systems where dynamic equations contain products of state variables. The solvability conditions fo...

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Bibliographic Details
Published inIOP conference series. Materials Science and Engineering Vol. 570; no. 1; pp. 12016 - 12019
Main Author Demyanov, D N
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.07.2019
Subjects
Algorithms
Asymptotic properties
Mathematical analysis
Nonlinear differential equations
State observers
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Summary:The article considers the problem of estimating the state of the technical system described by nonlinear differential equations. An approach is proposed to design reduced-order asymptotic observers for systems where dynamic equations contain products of state variables. The solvability conditions for the synthesis problem in the form of linear matrix equations are determined. The possibility of reducing the original problem to the classical modal control problem is shown. Two modifications of the algorithm for calculating the coefficients of the state observer, which ensures that the estimation error is asymptotically zero, are proposed.
ISSN:1757-8981
1757-899X
DOI:10.1088/1757-899X/570/1/012016