Evolving model architecture for custom output range exploration

In this paper, a methodology for combined online design of experiments and system identification is presented. More specifically, the paper addresses the problem of creating a model automatically that describes an unknown process accurately in a predefined range of its output. Such a model is typically needed for the calibration of combustion engines where only a relatively small emission range is of interest. The presented solution approach consists of two interacting components: first, an evolving local model network is used for creating, refining and extending a data-driven model, based on the incoming measurements; second, model-based approaches are proposed for designing new experiments so that the data-driven model has a high degree of accuracy in a predefined range of its output. The method uses, besides the models, a space-filling to explore untrained areas. The proposed concepts are illustrated and discussed by means of an academic and two real-world examples.

[1]  Zissimos P. Mourelatos,et al.  On Estimating the Reliability of Multiple Failure Region Problems Using Approximate Metamodels , 2009 .

[2]  Stefan Jakubek,et al.  Engine Model Identification Using Local Model Networks in Comparison with a Multilayer Perceptron Network , 2011 .

[3]  Edwin Lughofer,et al.  FLEXFIS: A Robust Incremental Learning Approach for Evolving Takagi–Sugeno Fuzzy Models , 2008, IEEE Transactions on Fuzzy Systems.

[4]  P. Pucar,et al.  Smooth Hinging Hyperplanes - An Alternative to Neural Nets , 1995 .

[5]  Parviz E. Nikravesh,et al.  Reliability-Based Optimal Design and Tolerancing for Multibody Systems Using Explicit Design Space Decomposition , 2010 .

[6]  Stefan Jakubek,et al.  Local model network identification for online engine modelling , 2013, Inf. Sci..

[7]  Douglas C. Montgomery,et al.  Response Surface Methodology: Process and Product Optimization Using Designed Experiments , 1995 .

[8]  Yonathan Bard,et al.  Nonlinear parameter estimation , 1974 .

[9]  R. Carlson,et al.  Design of Experiments, Principles and Applications, L. Eriksson, E. Johansson, N. Kettaneh‐ Wold, C. Wikström and S. Wold, Umetrics AB, Umeå Learnways AB, Stockholm, 2000, ISBN 91‐973730‐0‐1, xii + 329 pp. , 2001 .

[10]  Oliver Nelles,et al.  Hierarchical local model trees for design of experiments in the framework of ultrasonic structural health monitoring , 2011, 2011 IEEE International Conference on Control Applications (CCA).

[11]  Gail D. Baura,et al.  Nonlinear System Identification , 2002 .

[12]  T. Brubaker,et al.  Nonlinear Parameter Estimation , 1979 .

[13]  R Fisher,et al.  Design of Experiments , 1936 .

[14]  George Michailidis,et al.  Sequential Experiment Design for Contour Estimation From Complex Computer Codes , 2008, Technometrics.

[15]  Stefan Jakubek,et al.  Incremental optimal process excitation for online system identification based on evolving local model networks , 2013 .

[16]  Sandro Macchietto,et al.  Model-based design of experiments for parameter precision: State of the art , 2008 .

[17]  Rolf Egnell,et al.  Modelling Diesel Engine Combustion and NOx Formation for Model Based Control and Simulation of Engine and Exhaust Aftertreatment Systems , 2006 .

[18]  O. Nelles Nonlinear System Identification: From Classical Approaches to Neural Networks and Fuzzy Models , 2000 .

[19]  Luc Pronzato,et al.  Optimal experimental design and some related control problems , 2008, Autom..

[20]  Sonja Kuhnt,et al.  Design and analysis of computer experiments , 2010 .

[21]  Johann C. Wurzenberger,et al.  Crank-Angle Resolved Real-Time Engine Simulation –Integrated Simulation Tool Chain from Office to Testbed , 2009 .

[22]  Dick den Hertog,et al.  Constrained Maximin Designs for Computer Experiments , 2003, Technometrics.

[23]  Charles J. Mueller,et al.  An Experimental Investigation of the Origin of Increased NOx Emissions When Fueling a Heavy-Duty Compression-Ignition Engine with Soy Biodiesel , 2009 .

[24]  Julien Bect,et al.  A sequential Bayesian algorithm to estimate a probability of failure , 2009 .

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

[26]  Victor Picheny,et al.  Adaptive Designs of Experiments for Accurate Approximation of a Target Region , 2010 .