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A Multiscale Approximation Scheme for Explicit Model Predictive Control with Stability, Feasibility, and Performance Guarantees

Author(s):

S. Summers, C.N. Jones, J. Lygeros, M. Morari
Conference/Journal:

IEEE Conference on Decision and Control, Shanghai, China
Abstract:

In this paper, an algorithm is introduced based on classical wavelet multiresolution analysis that returns a low complexity explicit model predictive control law built on a hierarchy of second order interpolating wavelets. It is proven that the resulting interpolation is everywhere feasible. Further, tests to confirm stability and to compute a bound on the performance loss are introduced. Since the controller approximation is built on a gridded hierarchy, the evaluation of the control law in real-time systems is naturally fast and runs in a bounded logarithmic time. A simple example is provided which both illustrates the approach and motivates further research in this direction.

Year:

2009
Type of Publication:

(01)Article
Supervisor:



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% Autogenerated BibTeX entry
@InProceedings { SumEtal:2009:IFA_3388,
    author={S. Summers and C.N. Jones and J. Lygeros and M. Morari},
    title={{A Multiscale Approximation Scheme for Explicit Model
	  Predictive Control with Stability, Feasibility, and
	  Performance Guarantees}},
    booktitle={IEEE Conference on Decision and Control},
    pages={},
    year={2009},
    address={Shanghai, China},
    month=dec,
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=3388}
}
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