A Formal Linearization for a General Class of Time-varying Nonlinear Systems by the Cubic Hermite Interpolation and a Nonlinear Observer

Author

Narikiyo, Katsuhiro ; Takata, Hitoshi

Author_Institution

Hiroshima Natl. Coll. of Maritime Tech.

fYear

2006

fDate

5-8 Dec. 2006

Firstpage

1

Lastpage

6

Abstract

A computational method of the formal linearization for time-varying nonlinear systems by using the cubic Hermite interpolation is proposed. We introduce a linearizing function that consists of the state variables, their squares, and the cubes. The nonlinear terms are approximated by the cubic Hermite interpolation and thus a formal linear time-varying system with respect to the linearizing function is acquired. The execution of this method is easily carried out by simple matrix multiplications. A nonlinear observer is synthesized as an application of this method and is verified through numerical example

Keywords

interpolation; linearisation techniques; matrix multiplication; nonlinear control systems; observers; time-varying systems; computational method; cubic Hermite interpolation; formal linear time-varying system; formal linearization; linearizing function; matrix multiplications; nonlinear observer; time-varying nonlinear systems; Application software; Differential equations; Educational institutions; Interpolation; Linear systems; Multidimensional systems; Nonlinear systems; Observers; Systems engineering and theory; Time varying systems; cubic Hermite interpolation; linearization; observer;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Automation, Robotics and Vision, 2006. ICARCV '06. 9th International Conference on

Conference_Location

Singapore

Print_ISBN

1-4244-0341-3

Electronic_ISBN

1-4214-042-1

Type

conf

DOI

10.1109/ICARCV.2006.345167

Filename

4150077