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• W3012118400 abstract "We consider the problem of designing control laws for stochastic jump linear systems where the disturbances are drawn randomly from a finite sample space according to an unknown distribution, which is estimated from a finite sample of i.i.d. observations. We adopt a distributionally robust approach to compute a mean-square stabilizing feedback gain with a given probability. The larger the sample size, the less conservative the controller, yet our methodology gives stability guarantees with high probability, for any number of samples. Using tools from statistical learning theory, we estimate confidence regions for the unknown probability distributions (ambiguity sets) which have the shape of total variation balls centered around the empirical distribution. We use these confidence regions in the design of appropriate distributionally robust controllers and show that the associated stability conditions can be cast as a tractable linear matrix inequality (LMI) by using conjugate duality. The resulting design procedure scales gracefully with the size of the probability space and the system dimensions. Through a numerical example, we illustrate the superior sample complexity of the proposed methodology over the stochastic approach." @default.
• W3012118400 created "2020-03-23" @default.
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• W3012118400 date "2019-12-01" @default.
• W3012118400 modified "2023-10-04" @default.
• W3012118400 title "Safe Learning-Based Control of Stochastic Jump Linear Systems: a Distributionally Robust Approach" @default.
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• W3012118400 doi "https://doi.org/10.1109/cdc40024.2019.9029946" @default.
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