Three Benchmarks Addressing Open Challenges in Nonlinear System Identification

Abstract Nonlinear system identification is a fast evolving field of research with contributions from different communities. It is not always straightforward to compare different models and identification approaches. Therefore it is of high importance to offer well chosen benchmarks to the nonlinear system identification community. The interaction generated by such a benchmark can push the state of the art in nonlinear system identification forward. This paper discusses some challenges that are present nowadays in the nonlinear system identification community. Three benchmarks are presented, a hysteretic benchmark, a Wiener-Hammerstein benchmark, and a cascaded tanks benchmark, each addressing one or more of these challenges.

[1]  Petre Stoica,et al.  Recursive Identification Method for Piecewise ARX Models: A Sparse Estimation Approach , 2016, IEEE Transactions on Signal Processing.

[2]  A. H. Tan,et al.  Identification of Block-oriented Systems with Rate Saturation Nonlinearity , 2015 .

[3]  T. Mueller.  The influence of laminar separation and transition on low Reynolds number airfoil hysteresis , 1984 .

[4]  Shilin Xie,et al.  Identification of nonlinear hysteretic systems by artificial neural network , 2013 .

[5]  Lennart Ljung,et al.  Identification of Hammerstein-Wiener models , 2013, Autom..

[6]  Andreas Kroll,et al.  Benchmark problems for nonlinear system identification and control using Soft Computing methods: Need and overview , 2014, Appl. Soft Comput..

[7]  Thomas B. Schön,et al.  System identification of nonlinear state-space models , 2011, Autom..

[8]  D. J. Morrison,et al.  Cyclic plasticity of nickel at low plastic strain amplitude: hysteresis loop shape analysis , 2001 .

[9]  Mohammed Ismail,et al.  The Hysteresis Bouc-Wen Model, a Survey , 2009 .

[10]  L. Ljung,et al.  Maximum Likelihood Identification of Wiener Models , 2008 .

[11]  Fredrik Lindsten,et al.  Bayesian semiparametric Wiener system identification , 2013, Autom..

[12]  Y. Wen.  Method for Random Vibration of Hysteretic Systems , 1976 .

[13]  Yves Rolain,et al.  Parametric identification of parallel Wiener-Hammerstein systems , 2017, Autom..

[14]  Jan Swevers,et al.  Identification of nonlinear systems using Polynomial Nonlinear State Space models , 2010, Autom..