NDLI: Verifying stability of approximate explicit MPC

Content Provider	IEEE Xplore Digital Library
Author	Hovd, M. Scibilia, F. Maciejowski, J. Olaru, S.
Copyright Year	2009
Description	Author affiliation: Department of Engineering, University of Cambridge, CB2 1PZ, UK (Maciejowski, J.) \|\| Automatic Control Department, Supelec, 3 rue Joliot Curie, 91192 France (Olaru, S.) \|\| Engineering Cybernetics Department, Norwegian University of Science and Technology, N-7491 Trondheim, Norway (Hovd, M.; Scibilia, F.)
Abstract	Several authors have proposed algorithms for approximate explicit MPC [1],[2],[3]. These algorithms have in common that they develop a stability criterion for approximate explicit MPC that require the approximate cost function to be within a certain distance from the optimal cost function. In this paper, stability is instead ascertained by considering only the cost function of the approximate MPC. If a region of the state space is found where the cost function is not decreasing, this indicates that an improved approximation (to the optimal control) is required in that region. If the approximate cost function is decreasing everywhere, no further refinement of the approximate MPC is necessary, since stability is guaranteed.
Starting Page	6345
Ending Page	6350
File Size	533480
Page Count	6
File Format	PDF
ISBN	9781424438716
ISSN	01912216
DOI	10.1109/CDC.2009.5400788
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-12-15
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Cost function State-space methods Riccati equations Stability criteria Optimal control Interpolation Automatic control Performance loss Quadratic programming Tail
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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