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Nonlinear Output-Feedback H  ∞  Control for Spacecraft Attitude Control

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Advances in Aerospace Guidance, Navigation and Control

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Abstract

In this paper, a novel computational scheme is proposed in order to solve the output-feedback H  ∞  control problem for a class of nonlinear systems with polynomial vector field. By converting the resulting Hamilton-Jacobi inequalities from rational forms to their equivalent polynomial forms, we overcome the non-convex nature and numerical difficulty. Using quadratic Lyapunov functions, both the state feedback and output-feedback problems are reformulated as semi-definite optimization conditions, while locally tractable solutions can be obtained through sum of squares (SOS) programming. A numerical example shows that the proposed computational scheme results in a better disturbance attenuation closed-loop system, as compared to standard methods, by using classical quadratic Lyapunov functions. The novel methodology is applied in order to develop a robust spacecraft attitude regulator.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Ben Gurion University of the Negev, Beer Sheva, Israel

    Alon Capua, Nadav Berman, Amir Shapiro & Daniel Choukroun

  2. Faculty of Aerospace Engineering, Delft University of Technology, Delft, Netherlands

    Daniel Choukroun

Authors
  1. Alon Capua
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  2. Nadav Berman
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  3. Amir Shapiro
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  4. Daniel Choukroun
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Corresponding author

Correspondence to Alon Capua .

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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Capua, A., Berman, N., Shapiro, A., Choukroun, D. (2013). Nonlinear Output-Feedback H  ∞  Control for Spacecraft Attitude Control. 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_10

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  • DOI: https://doi.org/10.1007/978-3-642-38253-6_10

  • 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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