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- W44251971 abstract "The use of linear step response models and quadratic objectives for the Fundamental Control Problem provides a ready extension to questions of uncertainty in assessing the performance of a controller. In designing a controller under the presence of uncertainty one is especially interested in the “worst case” performance of the controller, both in terms of the performance criterion as well as the control trajectory. This paper deals with the formulation of a quadratic program that yields the “worst case” controller for a particular uncertainty description. As a QP it is relatively easy to calculate and yields a unique control trajectory. This formulation also provides upper bounds on previous nonlinear programming and linear programming formulations of this problem that, respectively, are harder to solve or may not yield unique solutions. Finally, the QP formulation is applied to the Heavy Oil Fractionator Workshop problem; reasonable solutions are obtained efficiently. In particular, the solutions provide a quantitative description of the “worst-case” controller and highlight parts of the uncertainty description where this controller performance is likely to occur." @default.
- W44251971 created "2016-06-24" @default.
- W44251971 creator A5052825722 @default.
- W44251971 date "1990-01-01" @default.
- W44251971 modified "2023-10-16" @default.
- W44251971 title "On Solving the Fundamental Control Problem in the Presence of Uncertainty: A Mathematical Programming Approach" @default.
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- W44251971 doi "https://doi.org/10.1016/b978-0-409-90186-3.50014-8" @default.
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