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- W3110099804 abstract "We present a data-driven method for solving the linear quadratic regulator problem for systems with multiplicative disturbances, the distribution of which is only known through sample estimates. We adopt a distributionally robust approach to cast the controller synthesis problem as semidefinite programs. Using results from high dimensional statistics, the proposed methodology ensures that their solution provides mean-square stabilizing controllers with high probability even for low sample sizes. As sample size increases the closed-loop cost approaches that of the optimal controller produced when the distribution is known. We demonstrate the practical applicability and performance of the method through a numerical experiment." @default.
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- W3110099804 date "2020-07-31" @default.
- W3110099804 modified "2023-09-24" @default.
- W3110099804 title "Data-driven distributionally robust LQR with multiplicative noise" @default.
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