Transformation techniques for the time-discretization of nonlinear systems

A method for time-discretization of nonlinear continuous time systems is pr oposed. The technique utilizes the method of functional expansions to yield nonlinear discrete models of continuous nonlinear state space realizations . Because the accuracy of the method is maintained at large sampling times the method is applicable to systems where a rapid sampling rate is not poss ible due to physical constraints. Additionally the stability properties of the discretization scheme makes the technique suitable for stiff systems. S everal other discretization methods are reviewed and two case studies are i nvestigated to assess the open and closed-loop performance of various discr etization methods.