Title :
A formal linearization method by the cubic Hermite interpolation for nonlinear systems
Author :
Narikiyo, Katsuhiro ; Takata, Hitoshi
Author_Institution :
Nat. Coll. of Maritime Tech., Hiroshima, Japan
Abstract :
A computational method of the formal linearization for nonlinear systems is proposed by using a piecewise 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 filter is synthesized as an application of the method and is verified through numerical examples
Keywords :
Hermitian matrices; interpolation; linearisation techniques; nonlinear systems; formal linearization method; linearizing function; nonlinear filter synthesis; nonlinear systems; piecewise cubic Hermite interpolation; Approximation error; Difference equations; Interpolation; Kalman filters; Linear systems; Matrix converters; Nonlinear filters; Nonlinear systems; State estimation; Vectors;
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.1996.574261
