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A Semidefinite Programming Approach to Control Synthesis for Stochastic Reach-Avoid Problems

Author(s):

D. Drzajic, N. Kariotoglou, M. Kamgarpour, J. Lygeros
Conference/Journal:

HSCC (Hybrid Systems: Computation and Control ), Proceedings of the Applied Reachability Workshop.
Abstract:

We propose a computational approach to approximate the value function and control policies for a finite horizon stochastic reach-avoid problem as follows. First, we formulate an infi nite dimensional linear program whose solution characterizes the optimal value function of the stochastic reach-avoid. Next, we introduce sum-of-squares polynomials to approximate the solution of this linear program through a semide finite program. We compare our proposed tool to alternative numerical approaches via several case studies.

Year:

2016
Type of Publication:

(01)Article
Supervisor:



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% Autogenerated BibTeX entry
@InProceedings { DrzEtal:2016:IFA_5599,
    author={D. Drzajic and N. Kariotoglou and M. Kamgarpour and J. Lygeros},
    title={{A Semidefinite Programming Approach to Control Synthesis
	  for Stochastic Reach-Avoid Problems}},
    booktitle={HSCC (Hybrid Systems: Computation and Control )},
    pages={},
    year={2016},
    address={},
    month=apr,
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=5599}
}
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