Application of micro computer in optimal linearization of nonlinear systems

American Society for Engineering Education, 2016. This paper presents a computer-assisted method to generate accurate linear models of nonlinear systems with reduced biasing errors. The technique, which is based on finite difference methods, approximates partial derivatives of a Taylor series expansion of nonlinear state equations about a nominal operating point or trajectories. The matrices of the linear state-space representation of the nonlinear system can be determined using personal-computer software. It can be shown that positive and negative perturbations in the system inputs can result in more accurate linear model. The advantages of this approach are illustrated and discussed. The proposed techniques will be useful in motivating students to pursue a graduate degree in institutions where the limited budget will not allow purchasing costly modeling/simulation packages and software.

Application of micro computer in optimal linearization of nonlinear systems Conference Paper