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Creators/Authors contains: "Ahmadi, Mohamadreza"

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  1. ; ; ; ; (, IEEE Transactions on Automatic Control)
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  2. ; ; ; (, IEEE Conference on Decision and Control (CDC))
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  3. ; ; ; ; (, American Control Conference)
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  4. ; ; (, 2017 IEEE 56th Annual Conference on Decision and Control (CDC))
    We consider the problem of safety assessment of a dynamical system for which no model and just limited data on the states is available. That is, given samples of the state {x(t i )} N i=1 at time instances t 1 ≤ t 2 ≤ ··· ≤ t N and some other side information in terms of the regularity of the state evolutions, we are interested in checking whether x(T) ∉ Xu, where T > t N and Xu ⊂ R n (the unsafe set) are pre-specified. To this end, we use piecewise-polynomial approximations of the trajectories based on the data along with the regularity side information to formulate a data-driven differential inclusion model. For these classes of data-driven differential inclusions, we propose a safety assessment theorem based on barrier certificates. The barrier certificates are then found using polynomial optimization. The method is illustrated by two examples. 
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