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Bilevel programming for analysis of low-complexity control of linear systems with constraints

Author(s):

H. Manum, C.N. Jones, J. Löfberg, M. Morari, S. Skogestad
Conference/Journal:

Conference on Decision and Control (CDC)
Abstract:

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.

Year:

2009
Type of Publication:

(01)Article
Supervisor:



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% Autogenerated BibTeX entry
@InProceedings { ManEtal:2009:IFA_3459,
    author={H. Manum and C.N. Jones and J. L{\"o}fberg and M. Morari and S.
	  Skogestad},
    title={{Bilevel programming for analysis of low-complexity control
	  of linear systems with constraints}},
    booktitle={Conference on Decision and Control (CDC)},
    pages={},
    year={2009},
    address={},
    month=dec,
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=3459}
}
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