Title :
A formal linearization by the Chebyshev interpolation and its applications
Author :
Komatsu, Kazuo ; Takata, Hitoshi
Author_Institution :
Kumamoto Nat. Coll. of Technol., Japan
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;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.574256
