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Explicit MPC for systems with linear parameter-varying state transition matrix

Author(s):

Th. Besselmann, J. Löfberg, M. Morari
Conference/Journal:

IFAC World Congress, Seoul, Korea, pp. 13163-13168
Abstract:

In this paper we propose a closed-loop min-max MPC algorithm based on dynamic programming, to compute explicit control laws for systems with a linear parameter-varying state transition matrix. This enables the controller to exploit parameter information to improve performance compared to a standard robust approach where no uncertainty knowledge is used, while keeping the benefits of fast online computations. The off-line computational burden is similar to what is required for computing explicit control laws for uncertain or nominal LTI systems. The proposed control strategy is applied to the controlled H´enon map to draw a comparison, in terms of complexity and control performance, with a controller based on a piecewise affine approximation.

Year:

2008
Type of Publication:

(01)Article
Supervisor:

M. Morari

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% Autogenerated BibTeX entry
@InProceedings { BesL_f:2008:IFA_3033,
    author={Th. Besselmann and J. L{\"o}fberg and M. Morari},
    title={{Explicit MPC for systems with linear parameter-varying
	  state transition matrix}},
    booktitle={IFAC World Congress},
    pages={13163--13168},
    year={2008},
    address={Seoul, Korea},
    month=jul,
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=3033}
}
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