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\(\mathcal{L}{}_{1}\) Adaptive Control for Systems with Matched Stochastic Disturbance

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Advances in Aerospace Guidance, Navigation and Control

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Abstract

This paper presents a stochastic state feedback \(\mathcal{L}{}_{1}\) adaptive control for systems with matched disturbances. The proposed approach is characterized through the introduction of a Kalman type fixed gain in the predictor. The main contribution of this work is that closed loop system analysis is demonstrated through a deterministic-like approach that uses the stochastic Laplace transform. The control is designed to accommodate and to be robust to unknown input gain as well as to system uncertainties. Simulation results show good results for the pitch angle control of a small fixed wing UAV.

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Authors and Affiliations

  1. Institute of Flight Mechanics and Control, Pfaffenwaldring 7a, 70569, Stuttgart, Germany

    Toufik Souanef, Federico Pinchetti & Walter Fichter

Authors
  1. Toufik Souanef
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  2. Federico Pinchetti
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  3. Walter Fichter
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Corresponding author

Correspondence to Toufik Souanef .

Editor information

Editors and Affiliations

  1. Faculty of Aerospace Engineering, TU Delft, Kluyverweg 1, Delft, 2629, Netherlands

    Qiping Chu

  2. , Faculty of Aerospace Engineering, TU Delft, Kluyverweg 1, Delft, 2629, Netherlands

    Bob Mulder

  3. , Faculty of Aerospace Engineering, TU Delft, Kluyverweg 1, Delft, 2629, Netherlands

    Daniel Choukroun

  4. , Faculty of Aerospace Engineering, TU Delft, Kluyverweg 1, Delft, 2629, Netherlands

    Erik-Jan van Kampen

  5. , Faculty of Aerospace Engineering, TU Delft, Kluyverweg 1, Delft, 2629 HS, Netherlands

    Coen de Visser

  6. Robotics and Mechatronics Center, System Dynamics and Control, German Aerospace Center (DLR), Münchner Straße 20, Wessling, 82234, Germany

    Gertjan Looye

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© 2013 Springer-Verlag Berlin Heidelberg

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Souanef, T., Pinchetti, F., Fichter, W. (2013). \(\mathcal{L}{}_{1}\) Adaptive Control for Systems with Matched Stochastic Disturbance. In: Chu, Q., Mulder, B., Choukroun, D., van Kampen, EJ., de Visser, C., Looye, G. (eds) Advances in Aerospace Guidance, Navigation and Control. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38253-6_19

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  • DOI: https://doi.org/10.1007/978-3-642-38253-6_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38252-9

  • Online ISBN: 978-3-642-38253-6

  • eBook Packages: EngineeringEngineering (R0)

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