A formal linearization method by the cubic Hermite interpolation and its applications

Author

Narikiyo, Katsuhiro ; Takata, Hitoshi

Author_Institution

Hiroshima Nat. Coll. of Maritime Tech., Japan

Volume

3

fYear

1996

fDate

5-10 Aug 1996

Firstpage

1329

Abstract

A computational method of the formal linearization for nonlinear systems is proposed by using a cubic Hermite interpolation. 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 system with respect to the linearizing function is acquired. This method is easily carried out with the aid of computers. A nonlinear observer and a nonlinear filter are synthesized as applications of the method and are verified through numerical examples

Keywords

interpolation; linearisation techniques; nonlinear control systems; nonlinear filters; observers; cubic Hermite interpolation; formal linearization method; linearizing function; nonlinear filter synthesis; nonlinear observer synthesis; nonlinear systems; state variables; Application software; Differential equations; Educational institutions; Interpolation; Linear approximation; Linear systems; Nonlinear filters; Nonlinear systems; Observers; Systems engineering and theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics, Control, and Instrumentation, 1996., Proceedings of the 1996 IEEE IECON 22nd International Conference on

Conference_Location

Taipei

Print_ISBN

0-7803-2775-6

Type

conf

DOI

10.1109/IECON.1996.570575

Filename

570575