The numerical errors in inverse simulation
K. LIN, Ping Lu, Malcolm J. Smith · 1993
This paper analyzes the numerical errors of two categories of inverse simulation algorithms: differentiation inverse method and integration inverse method. A fist-order differential equation is used to demonstrate the concept. The results of the inverse simulation are used as step-function inputs to the differential equation for a forward simulation. The result is then compared with the original trajectory for the error measure. A second-order differential equation is used to demonstrate the problem which the integration inverse method may encounter when there are unspecified state variables in the problem. A pointmass aircraft model is used as a numerical example for the comparison of these two methods.