抄録
In this paper, we propose computational algorithms for a pseudo-formal linearization method for nonlinear dynamic systems and a nonlinear observer for nonlinear scalar measurement systems using Chebyshev interpolation. This pseudo-formal linearization method transforms a nonlinear autonomous dynamic system into an augmented linear one with respect to a linearization function that consists of polynomials of state variables. When linearizing, Chebyshev interpolation is exploited so that a computational algorithm is implemented. As an application of this method, a computational algorithm for a nonlinear observer is proposed. Numerical experiments indicate that the performance of the proposed method is superior to that of the previous method.
