Two Case Studies on Optimal Input Design for simple Wiener Systems: Pitfalls and Challenges

Optimal input design (OID) consists of finding the most informative input sequence out of the set of possible excitation signals. In this work, we evaluate the performance of different optimization strategies that compute the D-Optimal input design for two simple Wiener systems. We perform a brute force nonlinear optimization with respect to the samples of the input signal for both systems. Special care should be taken while choosing the optimization/design parameters (e.g. sampling time, signal duration, initial values, etc.) since small changes can have a high impact onto the design performance.