A periodic H2 state feedback controller for a rotor-blade system

J. F. Camino, I. F. Santos

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    Abstract

    Many engineering applications have as their main component rotor-blade systems whose dynamics can be represented by a linear time-varying model. Since rotor-blade systems exhibit periodic dynamics, standard linear time-invariant analysis and synthesis techniques cannot be directly used and are not able to guarantee closed-loop stability and performance. Although there exist many results for periodic systems, the design of controllers for such systems is, in general, a difficult task. Its practical application is challenging, from the computational and experimental aspects. This paper presents the application of a periodic H2 control problem in a rotor-blade system in order to attenuate the tip vibration. The proposed control design is based on a periodic Riccati differential equation (PRDE). The Floquet-Lyapunov theory is used to represent the dynamics in an adequate coordinate system, so that the PRDE can be efficiently solved. A robustness analysis is also perfomed. Numerical experiments show the effectiveness of the proposed approach.
    Original languageEnglish
    Title of host publicationProceedings of the International Conference on Noise and Vibration Engineering
    Number of pages13
    PublisherKatholieke Universiteit Leuven
    Publication date2018
    ISBN (Electronic)9789073802995
    Publication statusPublished - 2018
    Event28th International Conference on Noise and Vibration Engineering (ISMA 2018) - Leuven, Belgium
    Duration: 17 Sep 201819 Sep 2018
    Conference number: 28

    Conference

    Conference28th International Conference on Noise and Vibration Engineering (ISMA 2018)
    Number28
    Country/TerritoryBelgium
    CityLeuven
    Period17/09/201819/09/2018

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