DocumentCode
2841049
Title
A formal linearization by the Chebyshev interpolation and its applications
Author
Komatsu, Kazuo ; Takata, Hitoshi
Author_Institution
Kumamoto Nat. Coll. of Technol., Japan
Volume
1
fYear
1996
fDate
11-13 Dec 1996
Firstpage
70
Abstract
We consider a formal linearization that transforms a given nonlinear system into a linear system by means of the Chebyshev interpolation. The proposed linearization has high accuracy and easy implementation. Error bounds of this linearization show that the accuracy of the approximation is improved as the order of the Chebyshev polynomials increases. A nonlinear observer and a nonlinear filter are also synthesized as applications of the linearization. The high validity of this formal linearization is verified through numerical examples
Keywords
Chebyshev approximation; interpolation; linear systems; linearisation techniques; nonlinear differential equations; nonlinear filters; nonlinear systems; observers; polynomials; Chebyshev interpolation; Chebyshev polynomials; accuracy; error bounds; formal linearization; nonlinear filter; nonlinear observer; Chebyshev approximation; Interpolation; Linear systems; Polynomials;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location
Kobe
ISSN
0191-2216
Print_ISBN
0-7803-3590-2
Type
conf
DOI
10.1109/CDC.1996.574256
Filename
574256
Link To Document