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The Optimal Control Theory

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Flexible Spacecraft Dynamics, Control and Guidance

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Abstract

The optimal control theory is the theoretical basis for the generation of control algorithms to reach and maintain the desired orbital and attitude reference trajectory . These algorithms need to have as input a partial or total information regarding the state of the system. In this chapter we will review the classic optimal control theory derived from the calculus of variations and then the so-called Maximum Principle. We introduce also the control theory applicable to linear systems and the study of the linear control synthesis methods, with particular focus on second order flexible mechanical systems and \(H_{\infty }\) techniques.

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Authors and Affiliations

  1. Thales Alenia Space Italia, Rome, Italy

    Leonardo Mazzini

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  1. Leonardo Mazzini
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Correspondence to Leonardo Mazzini .

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Mazzini, L. (2016). The Optimal Control Theory. In: Flexible Spacecraft Dynamics, Control and Guidance. Springer Aerospace Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-25540-8_5

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  • DOI: https://doi.org/10.1007/978-3-319-25540-8_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25538-5

  • Online ISBN: 978-3-319-25540-8

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