Open AccessEstimation of the state of a technical system with substantially non-linear characteristics
Author(s) -
D. N. Dem’yanov
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/570/1/012016
Subject(s) - observer (physics) , mathematics , nonlinear system , state (computer science) , modal , coefficient matrix , linear system , estimation , state variable , system of linear equations , matrix (chemical analysis) , control theory (sociology) , mathematical optimization , computer science , control (management) , algorithm , mathematical analysis , engineering , eigenvalues and eigenvectors , chemistry , physics , materials science , quantum mechanics , artificial intelligence , polymer chemistry , composite material , thermodynamics , systems engineering
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.