MATLAB and Simulink resources for Arduino, LEGO, and Raspberry Pi

Learn moreOpportunities for recent engineering grads.

Apply Today
Asked by weiwei on 22 Jul 2011

The same as my title. Thanks a lot!

*No products are associated with this question.*

Answer by Jan Simon on 22 Jul 2011

Inside the ODE function you can do what ever you want, as long as the output is numerical and has a certain degree of smoothness.

Show 1 older comment

Walter Roberson on 22 Jul 2011

If you have known values at selected points for an ODE, but you do not know the form of the ODE, then I do not think it is possible to reconstruct the ODE uniquely without an infinite number of samples.

Jan Simon on 23 Jul 2011

@Weiwei: It sound feasible. This is actually a standard parameter estimation of a boundary value problem on the subintervals. So start with a good coice of a,b,c, calculate the ODE and find better a,b,c by a variation or the evaluation of the sensitivity matrix. If your trajectories explode if a,b,c are far apart from the solution, use a multiple shooting method. The objective of your parameter estimation is than the distance between your trajectory from all mesaurements *and* the steps at each measurement point.

## 0 Comments