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A Closed-Form Model Predictive Control Framework for Nonlinear Noise-Corrupted Systems

Weissel, Florian; Huber, Marco F.; Hanebeck, Uwe D.

Abstract:
In this paper, a framework for Nonlinear Model Predictive Control (NMPC) that explicitly incorporates the noise influence on systems with continuous state spaces is introduced. By the incorporation of noise, which results from uncertainties during model identification and the measurement process, the quality of control can be significantly increased. Since NMPC requires the prediction of system states over a certain horizon, an efficient state prediction technique for nonlinear noise-affected systems is required. This is achieved by using transition densities approximated by axis-aligned Gaussian mixtures together with methods to reduce the computational burden. A versatile cost function representation also employing Gaussian mixtures provides an increased freedom of modeling. Combining the prediction technique with this value function representation allows closed-form calculation of the necessary optimization problems arising from NMPC. The capabilities of the framework and especially the benefits that can be gained by considering the noise in the controller are illustrated by the example of a mobile robot following a given path.


Zugehörige Institution(en) am KIT Institut für Anthropomatik (IFA)
Publikationstyp Proceedingsbeitrag
Jahr 2007
Sprache Englisch
Identifikator ISBN: 978-972-8865-84-9
URN: urn:nbn:de:swb:90-348395
KITopen ID: 1000034839
Erschienen in Proceedings of the 4th International Conference on Informatics in Control, Automation and Robotics (ICINCO 2007), Angers, France, May, 2007. Vol. SPSMC. Ed.: J. Zaytoon
Verlag INSTICC Press, Setúbal
Seiten 62-69
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