A formal linearization method by the cubic Hermite interpolation for nonlinear systems
Katsuhiro Narikiyo, Hiroyuki Takata · 2002
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.