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

© 2019 IOP Publishing Ltd. All rights reserved. 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