Taylor–Lie formulation based discretization of nonlinear systems

Abstract

This paper proposes a discretization technique based on Taylor–Lie formulation. It also presents an overview of various techniques that can be applied for the discretization of a class of nonlinear systems. An in-depth analysis and comparison of the proposed technique with existing techniques has also been done. The efficiency of these different techniques have been compared on the basis of approximation error and discrete model complexity.