Abstract
In this paper, a Model Predictive Control problem for constrained nonlinear systems with quantized input is formulated and represented as a multi-parametric Nonlinear Integer Programming (mp-NIP) problem. Then, a computational method for explicit approximate solution of the resulting mp-NIP problem is suggested. The proposed approximate mp-NIP approach is applied to the design of an explicit approximate MPC controller for a clutch actuator with on/off valves.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bemporad, A.: Multiparametric nonlinear integer programming and explicit quantized optimal control. In: 42-nd IEEE Conference an Decision and Control, Maui, Hawaii, USA (December 2003)
Fiacco, A.V.: Introduction to sensitivity and stability analysis in nonlinear programming. Academic Press, Orlando (1983)
Grancharova, A., Johansen, T.A., Tøndel, P.: Computational aspects of approximate explicit nonlinear model predictive control. In: Findeisen, R., Allgöwer, F., Biegler, L. (eds.) Assessment and Future Directions of Nonlinear Model Predictive Control. LNCIS, vol. 358, pp. 181–192. Springer, Heidelberg (2007)
Holmström, K., Göran, A.O., Edvall, M.M.: User’s guide for TOMLAB (April 2007)
Jones, D.R.: The DIRECT global optimization algorithm. In: Floudas, C.A., Pardalos, P.M. (eds.) Encyclopedia of optimization, vol. 1, pp. 431–440. Kluwer, Dordrecht (2001)
Kaasa, G.O.: Nonlinear output-feedback control applied to electro-pneumatic clutch actuation in heavy-duty trucks. Ph.D. Thesis, Norwegian University of Science and Technology (2006)
Langjord, H., Johansen, T.A., Hespanha, J.P.: Switched control of an electropneumatic clutch actuator using on/off valves. In: American Control Conference, Seattle (2008)
Picasso, B., Pancanti, S., Bemporad, A., Bicchi, A.: Receding-horizon control of LTI systems with quantized inputs. In: IFAC Conference on Analysis and Design of Hybrid Systems, Saint Malo, France (June 2002)
Sande, H., Johansen, T.A., Kaasa, G.O., Snare, S.R., Bratli, C.: Switched backstepping control of an electropneumatic clutch actuator using on/off valves. In: American Control Conference, New York (2007)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Grancharova, A., Johansen, T.A. (2009). Explicit Approximate Model Predictive Control of Constrained Nonlinear Systems with Quantized Input. In: Magni, L., Raimondo, D.M., Allgöwer, F. (eds) Nonlinear Model Predictive Control. Lecture Notes in Control and Information Sciences, vol 384. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01094-1_30
Download citation
DOI: https://doi.org/10.1007/978-3-642-01094-1_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01093-4
Online ISBN: 978-3-642-01094-1
eBook Packages: EngineeringEngineering (R0)