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    Robust temporal logic model predictive control

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    Date Issued
    2015-09
    Publisher Version
    10.1109/ALLERTON.2015.7447084
    Author(s)
    Sadraddini, Sadra
    Belta, Calin
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    Permanent Link
    https://hdl.handle.net/2144/29963
    Citation (published version)
    Sadra Sadraddini, Calin Belta. 2015. "Robust Temporal Logic Model Predictive Control." 2015 53rd Annual Allerton Conference on Communication, Control, and Computing (Allerton), pp. 772 - 779 (8).
    Abstract
    Control synthesis from temporal logic specifications has gained popularity in recent years. In this paper, we use a model predictive approach to control discrete time linear systems with additive bounded disturbances subject to constraints given as formulas of signal temporal logic (STL). We introduce a (conservative) computationally efficient framework to synthesize control strategies based on mixed integer programs. The designed controllers satisfy the temporal logic requirements, are robust to all possible realizations of the disturbances, and optimal with respect to a cost function. In case the temporal logic constraint is infeasible, the controller satisfies a relaxed, minimally violating constraint. An illustrative case study is included.
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