Non-linear model predictive control for models with local information and uncertainties

Author:

Ažman Kristjan1,Kocijan Juš2

Affiliation:

1. Jožef Stefan Institute, Jamova 39, SI-1000 Ljubljana, Slovenia

2. Jožef Stefan Institute, Jamova 39, SI-1000 Ljubljana, Slovenia, , University of Nova Gorica, Vipavska 13, SI-5000 Nova Gorica, Slovenia

Abstract

Gaussian processes are a probabilistic, non-parametric approach to modelling that allows easy merging of ordinary measured data and local linear models. This can be of particular importance in the identification of non-linear dynamic systems from experimental data, where there is usually more data available around the equilibrium points and only sparse data is available far from them. The utility of the Gaussian process model for predictive control is investigated in this paper and is illustrated on a simple first-order vehicle dynamics.

Publisher

SAGE Publications

Subject

Instrumentation

Reference21 articles.

1. Nonlinear Model Predictive Control

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3. Bishop, C.M. and Tipping, M.E. 2003: Bayesian regression and classification. In Suykens, J., Horvath, G. , Basu, S., Micchelli, C. & Vandewalle, J., editors. Advances in learning theory: methods, models and applications. NATO Science Series III: Computer and Systems Sciences. IOS Press, 190.

4. Girard, A., Rasmussen, C.E. and Murray-Smith, R. 2002: Multi-step ahead prediction for non linear dynamic sytems - a Gaussian process treatment with propagation of the uncertainty. In Becker, S. Thrun, S. & Obermayer, K. editors. Advances in neural information processing systems. Volume 15. MIT Press, 545-52.

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