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- W2793936682 abstract "It is well known that for a linear time-invariant plant whose transfer function has relative degree n* and stable zeros, a model reference adaptive control (MRAC) system ensures that the plant output y(t) asymptotically tracks the output y <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</sub> (t) of a stable reference model system of the same relative degree n*: lim <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>t→∞</sub> (y(t) - y <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</sub> (t)) = 0. In this note, it is shown that under the same MRAC design conditions without the knowledge of the plant parameters, an MRAC system ensures that the tracking error e(t) = y(t) - y <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</sub> (t) has the stronger higher order convergence die(t) property: lim <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>t→∞</sub> (d <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>i</sup> e(t))/(dt <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>i</sup> ) = 0, for i = 0,1,..., n*-1. Such a new MRAC system property leads to several new results of adaptive stabilization and tracking control using either state feedback or output feedback, as clarified in this paper." @default.
- W2793936682 created "2018-03-29" @default.
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- W2793936682 date "2018-11-01" @default.
- W2793936682 modified "2023-10-18" @default.
- W2793936682 title "Higher Order Tracking Properties of Model Reference Adaptive Control Systems" @default.
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- W2793936682 doi "https://doi.org/10.1109/tac.2018.2802496" @default.
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