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Inverse Parametric Optimization with an Application to Hybrid System Control

Author(s):

A.B. Hempel, P.J. Goulart, J. Lygeros
Conference/Journal:

IEEE Transactions on Automatic Control, vol. 60, no. 4, pp. 1064-1069
Abstract:

We present a number of results on inverse parametric optimization and its application to hybrid system control. We show that any function that can be written as the difference of two convex functions can also be written as a linear mapping of the solution to a convex parametric optimization problem. We exploit these results in application to the control of systems with piecewise affine dynamics, and show that it is possible to model such systems as optimizing processes. Optimal control problems for such systems can be remodeled as bilevel optimization problems and solved with existing techniques.

Further Information
Year:

2015
Type of Publication:

(01)Article
Supervisor:



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% Autogenerated BibTeX entry
@Article { HemGou:2015:IFA_4491,
    author={A.B. Hempel and P.J. Goulart and J. Lygeros},
    title={{Inverse Parametric Optimization with an Application to
	  Hybrid System Control}},
    journal={IEEE Transactions on Automatic Control},
    year={2015},
    volume={60},
    number={4},
    pages={1064--1069},
    month=apr,
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=4491}
}
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