抄録
In this paper, we deal with a formal linearization algorithm of a general class of time-variant nonlinear systems using interpolation of orthogonal polynomials. A linearizing function which consists of the Chebyshev polynomials is defined. The time-variant nonlinear systems are transformed into time-variant linear ones with respect to this linearizing function by exploiting Chebyshev interpolation to the state variable and Laguerre interpolation to the time variable. This kind of linearization has simple algorithms due to the orthogonality for a finite sum, so they are easily executed by using computers. The inversion of this linearization is also simple. Besides, a time-variant nonlinear observer algorithm is presented as an application of the linearization.
