Simultaneous estimation of the state and the unknown inputs for a class of switched linear systems

Author

Laboudi, K. ; Messai, N. ; Manamanni, N.

Author_Institution

CReSTIC Lab. EA3804, Univ. of Reims Champagne Ardennes, Reims, France

fYear

2015

fDate

25-27 May 2015

Firstpage

1

Lastpage

6

Abstract

In this paper, an observer for Switched Linear Systems (SLS) with unknown inputs is designed. LMI conditions, guaranteeing the asymptotic convergence of the observer derived through multiple Lyapunov functions and LMI region. This is done by decoupling a subset of the system states from the unknown inputs and by estimating the states thanks to a like Luenberger observer. Then, an estimator for the reconstruction of the unknown inputs from the estimated state and the derivative of the system outputs using a robust exact differentiator is proposed.

Keywords

Lyapunov methods; convergence; linear systems; observers; robust control; switching systems (control); LMI conditions; Luenberger observer; Lyapunov functions; SLS; asymptotic convergence; robust exact differentiator; state estimation; subset decoupling; switched linear systems; system outputs; system states; unknown inputs; Convergence; Estimation error; Linear systems; Lyapunov methods; Observers; Switches; LMI; linear switched systems; unknown inputs observers;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Engineering & Information Technology (CEIT), 2015 3rd International Conference on

Conference_Location

Tlemcen

Type

conf

DOI

10.1109/CEIT.2015.7233176

Filename

7233176