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Constrained Time Optimal Control of Linear Parameter-Varying Systems


Th. Besselmann, J. Lfberg, M. Morari

IEEE Conference on Decision and Control, Shanghai, China

For linear and hybrid systems, constrained time-optimal control was shown to be a low complexity alternative to the explicit solution of the constrained finite-time-optimal control problem. In this paper we show how Plya's relaxation can be employed to compute minimum-time controllers for discrete-time LPV systems. Contrary to previous publications, our approach allows the use of parameter-varying input matrices. In a comparison over 20 random system, it is shown that compared to explicit LPV-MPC the proposed approach achieves similar or even better control performance, while reducing the complexity of the resulting controller up to an order of magnitude.


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% Autogenerated BibTeX entry
@InProceedings { BesL_f:2009:IFA_3348,
    author={Th. Besselmann and J. L{\"o}fberg and M. Morari},
    title={{Constrained Time Optimal Control of Linear
	  Parameter-Varying Systems}},
    booktitle={IEEE Conference on Decision and Control},
    address={Shanghai, China},
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