A direct algebraic approach to observer design under switching measurement equations

Author

Babaali, Mohamed ; Egerstedt, Magnus ; Kamen, Edward W.

Author_Institution

Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

Volume

49

Issue

11

fYear

2004

Firstpage

2044

Lastpage

2049

Abstract

Based on the algebraic transformation of a switched linear measurement equation into a nonlinear, yet deterministic, equation, an asymptotic state observer is constructed for discrete-time linear systems whose observations are generated according to randomly switching measurement modes. The observer, which combines the algebraic transformation with a Newton observer applied to the resulting nonlinear measurement equation, is shown to be locally exponentially convergent under arbitrary mode sequences.

Keywords

control system synthesis; discrete time systems; linear systems; observers; time-varying systems; Newton observer; asymptotic state observer; direct algebraic approach; discrete-time linear systems; switched systems; switching measurement equations; Actuators; Control systems; Differential equations; Linear systems; Nonlinear equations; Sensor phenomena and characterization; Sensor systems; Switched systems; Systems engineering and theory; Telecommunication control; 65; Observer design; sensor failures; switched systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2004.837541

Filename

1356128