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Modelling Dynamics in Processes and Systems pp 85–97Cite as

Feedback Stabilization of Distributed Parameter Gyroscopic Systems

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 180))

Abstract

In this paper feedback stabilization of distributed parameter gyroscopic systems is discussed. The class of such systems is described by second-order operator equations. We show that the closed loop system which consists of the controlled system, linear non-velocity feedback and a parallel compensator is asymptotically stable. In the case where velocity is available, the parallel compensator is not necessary to stabilize the system. We present our results here for multi-input multi-output case. The stability issues are proved by LaSalle’s theorem extended to infinite dimensional systems. Numerical examples are given to illustrate the effectiveness of the proposed controllers.

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Author information

Authors and Affiliations

  1. Institute of Automation, AGH University of Science and Technology, al. Mickiewicza 30/B1, 30-059, Kraków, Poland

    Paweł Skruch

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  1. Paweł Skruch
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Editors and Affiliations

  1. Faculty of Electrical Engineering, Automatics Computer Science and Electronics, AGH University of Science and Technology, Al.Mickiewicza 30, 30-059, Krakow, Poland

    Wojciech Mitkowski

  2. Systems Research Institute, Polish Academy of Sciences, ul.Newelska 6, 01-447, Warsaw, Poland

    Janusz Kacprzyk

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Skruch, P. (2009). Feedback Stabilization of Distributed Parameter Gyroscopic Systems. In: Mitkowski, W., Kacprzyk, J. (eds) Modelling Dynamics in Processes and Systems. Studies in Computational Intelligence, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92203-2_6

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  • DOI: https://doi.org/10.1007/978-3-540-92203-2_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-92202-5

  • Online ISBN: 978-3-540-92203-2

  • eBook Packages: EngineeringEngineering (R0)

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