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Robust Anisotropy-Based Control

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Control of Discrete-Time Descriptor Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 157))

Abstract

Interest in stability analysis and control for descriptor systems with parametric uncertainties has grown recently due to their frequent presence in dynamical systems. Uncertainties in such systems are often causes of instability and bad performance. It is known that control of uncertain descriptor systems is much more complicated than that of the normal ones. The aim of this chapter is to provide conditions of anisotropic norm boundedness for descriptor systems with norm-bounded parametric uncertainties and to develop methods of control design that make the closed-loop uncertain system admissible with prescribed anisotropy-based performance.

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References

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Authors and Affiliations

  1. Department of Control Systems and Informatics, ITMO University, St. Petersburg, Russia

    Alexey A. Belov

  2. Laboratory of Dynamics of Control Systems, V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia

    Alexey A. Belov, Olga G. Andrianova & Alexander P. Kurdyukov

  3. School of Applied Mathematics, HSE Tikhonov Moscow Institute of Electronics and Mathematics, Moscow, Russia

    Olga G. Andrianova

Authors
  1. Alexey A. Belov
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  2. Olga G. Andrianova
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  3. Alexander P. Kurdyukov
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Correspondence to Alexey A. Belov .

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Belov, A.A., Andrianova, O.G., Kurdyukov, A.P. (2018). Robust Anisotropy-Based Control. In: Control of Discrete-Time Descriptor Systems. Studies in Systems, Decision and Control, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-319-78479-3_7

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  • DOI: https://doi.org/10.1007/978-3-319-78479-3_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-78478-6

  • Online ISBN: 978-3-319-78479-3

  • eBook Packages: EngineeringEngineering (R0)

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