Iterative Excitation Signal Design for Nonlinear Dynamic Black-Box Models

Abstract A new method to generate excitation signals for the identification of nonlinear dynamic processes is introduced. The objective of the optimization is a uniform data point distribution in the input space of the nonlinear approximator. This optimization of the excitation signal is passive, thus the whole signal is optimized prior to the measurement of the process and no online adaptation is performed. The possibility to reuse already existing data sets is one of the key features of the proposed excitation signal optimization. The existing data sets are considered during the optimization, thus operating points with a high data point density are omitted and unexplored areas are filled with new data points. The advantages of the continued optimization are highlighted on artificial processes.

[1]  M. E. Johnson,et al.  Minimax and maximin distance designs , 1990 .

[2]  Oliver Nelles,et al.  Automated order determination strategies for nonlinear dynamic models , 2016, 2016 IEEE Symposium Series on Computational Intelligence (SSCI).

[3]  Rolf Isermann,et al.  Identification of nonlinear dynamic systems classical methods versus radial basis function networks , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[4]  Martin Horn,et al.  Order Determination and Input Selection with Local Model Networks , 2017 .

[5]  O. Nelles Axes-oblique partitioning strategies for local model networks , 2006, 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control.

[6]  Susanne Zaglauer,et al.  Design of Experiments for nonlinear dynamic system identification , 2011 .

[7]  Nils Tietze,et al.  Model-based Calibration of Engine Control UnitsUsing Gaussian Process Regression , 2015 .

[8]  Stefan Jakubek,et al.  Optimal experiment design based on local model networks and multilayer perceptron networks , 2013, Eng. Appl. Artif. Intell..