LMI-based reduced-order observers for some discrete nonlinear systems

Author

Azemi, Asad ; Yaz, Edwin Engin

Author_Institution

Pennsylvania State Univ., University Park, PA, USA

Volume

5

fYear

1997

fDate

10-12 Dec 1997

Firstpage

4808

Abstract

Stabilization of a nonlinear system by the use of state estimate feedback when the state variables are not available for measurement, has been an important research topic in control theory. In the paper, a reduced-order observer design is presented for a class of discrete time nonlinear systems. This is motivated by its potential use in dynamic feedback control of this class of discrete-time nonlinear systems in the presence of disturbances. These disturbances are assumed to be of finite energy type in this paper. The system model is a generalization of the discrete counterpart of the one in Thau (1974). We consider the LMI-based design of reduced-order observers for this model which will guarantee boundedness of a quadratic function of the estimation error or the boundedness of its energy

Keywords

discrete time systems; matrix algebra; nonlinear systems; observers; reduced order systems; LMI-based reduced-order observers; discrete-time nonlinear systems; disturbances; dynamic feedback control; guaranteed boundedness; state estimate feedback; Design optimization; Eigenvalues and eigenfunctions; Erbium; Estimation error; Extraterrestrial measurements; Nonlinear systems; Power engineering and energy; Stability analysis; State estimation; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.649780

Filename

649780