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Bilevel Programming...
Bilevel Programming for Analysis of Low-Complexity Control of Linear Systems with Constraints
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- Löfberg, Johan, 1974- (författare)
- Linköpings universitet,Reglerteknik,Tekniska högskolan
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- Manum, Henrik (författare)
- Norwegian University of Science and Technology, Norway
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- Skogstad, Sigurd (författare)
- Norwegian University of Science and Technology, Norway
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- Jones, Colin (författare)
- ETH Zürich, Schweiz
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- Morari, Manfred (författare)
- ETH Zürich, Schweiz
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(creator_code:org_t)
- 2009
- 2009
- Engelska.
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Ingår i: Proceedings of the 48th IEEE Conference on Decision and Control. - 9781424438723 - 9781424438716 ; , s. 946-951
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- In this paper we use bilevel programming to find the maximum difference between a reference controller and a low-complexity controller in terms of the infinity-norm difference of their control laws. A nominal MPC for linear systems with constraints, and a robust MPC for linear systems with bounded additive noise are considered as reference controllers. For possible low-complexity controllers we discuss partial enumeration (PE), Voronoi/closest point, triangulation, linear controller with saturation, and others. A small difference in the norm between a low-complexity controller and a robust MPC may be used to guarantee closed-loop stability of the low-complexity controller and indicate that the behaviour or performance of the low-complexity controller will be similar to that of the reference one. We further discuss how bilevel programming may be used for closed-loop analysis of model reduction.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Nyckelord
- Bilevel programming
- Closed-loop analysis
- Optimal control
- TECHNOLOGY
- TEKNIKVETENSKAP
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- kon (ämneskategori)
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