An observer for linear systems with randomly-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

3

fYear

2003

fDate

4-6 June 2003

Firstpage

1879

Abstract

Based on the algebraic transformation of a randomly switched linear measurement equation to a nonlinear, yet deterministic equation, an asymptotic observer is constructed for a class of systems encountered in manufacturing, telecommunications, and embedded control applications. The observer is shown to be locally and exponentially stable for any arbitrary switching sequence, and combines the algebraic transformation with the introduction of a Newton observer defined on the resulting nonlinear measurement equation.

Keywords

Newton method; asymptotic stability; discrete time systems; linear systems; nonlinear systems; observers; Newton observer; algebraic transformation; arbitrary switching; asymptotic observer; deterministic equation; embedded control; exponential stability; linear systems; manufacturing; nonlinear systems; randomly switched linear measurement equation; randomly switching measurement equations; telecommunications; Control systems; Electric variables measurement; Embedded computing; Linear systems; Nonlinear control systems; Nonlinear equations; Sensor systems and applications; Telecommunication computing; Telecommunication control; Telecommunication switching;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1243347

Filename

1243347