NDLI: On the design of economic NMPC based on approximate turnpike properties

Content Provider	IEEE Xplore Digital Library
Author	Faulwasser, Timm Bonvin, Dominique
Copyright Year	2015
Description	Author affiliation: Laboratoire d'Automatique, École Polytechnique Fédérale de Lausanne, CH-1015, Switzerland (Faulwasser, Timm; Bonvin, Dominique)
Abstract	We discuss the design of sampled-data economic nonlinear model predictive control schemes for continuous-time systems based on turnpike properties. In a recent paper we have shown that an exact turnpike property allows establishing finite-time convergence of the NMPC scheme to the optimal steady state, and also recursive feasibility, without using terminal penalties or terminal constraints. Herein, we extend our previous results to the more general case of approximate turnpikes. We establish sufficient conditions, based on a dissipativity assumption, that guarantee (i) convergence to a neighborhood of the optimal steady state, and (ii) recursive feasibility in the presence of state constraints. The proposed conditions do not rely on terminal regions or terminal penalties. A key step in our developments is the use of a storage function as a penalty on the initial condition in the NMPC scheme. We draw upon the example of a chemical reactor to illustrate our findings.
Starting Page	4964
Ending Page	4970
File Size	589685
Page Count	7
File Format	PDF
e-ISBN	9781479978861
DOI	10.1109/CDC.2015.7402995
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-12-15
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Steady-state Economics Convergence Predictive control Stability criteria Context convergence dissipativity turnpike property economic model predictive control nonlinear model predictive control
Content Type	Text
Resource Type	Article

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