Observation of Nonlinear Differential-Algebraic Systems With Unknown Inputs

Author

Bejarano, Francisco Javier ; Perruquetti, Wilfrid ; Floquet, Thierry ; Zheng, Gang

Author_Institution

SEPI, ESIME Ticoman, Mexico City, Mexico

Volume

60

Issue

7

fYear

2015

fDate

Jul-15

Firstpage

1957

Lastpage

1962

Abstract

A method to carry out the state estimation is proposed for a class of nonlinear systems with unknown inputs whose dynamics is governed by differential-algebraic equations (DAE). We achieve, under suitable conditions, to replace the original DAE for a system with differential equations only by using a zeroing manifold algorithm inducing a state space dimension reduction. Observability conditions can be checked using the original system parameters. The state estimation is done using a sliding mode high order differentiator.

Keywords

differential algebraic equations; nonlinear systems; observability; state estimation; state-space methods; variable structure systems; DAE; differential-algebraic equations; nonlinear differential-algebraic system observation; observability conditions; sliding mode high order differentiator; state estimation; state space dimension reduction; zeroing manifold algorithm; Equations; Manifolds; Mathematical model; Observability; Observers; Vectors; Differential-Algebraic systems; Differential-algebraic systems; Observer design; observer design; sliding mode high order differentiation;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2014.2363604

Filename

6924733