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Observer-Based Distributed Controllers Design for a Cantilever Beam

  • Xueji ZhangEmail author
  • Zhongzhe Dong
  • Cassio Faria
  • Kristian Hengster-Movric
  • Wim Desmet
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)

Abstract

Advancement of piezoelectric transducer technology enables distributed actuation and sensing along flexible structures for vibration suppression. This study addresses the controller design under the paradigm of cooperative control and optimisation. A finite element model of a cantilever beam, coupled with piezoelectric actuators and accelerometers is constructed and then validated with a physical setup. Based on the finite element model, distributed controllers are designed. Considering the existence of feed-through terms in the system, each controller applies its control action based not only on its local measurement and state estimations from a few neighboring agents, but also on the exact control actions of all the other controllers as well, to realize global vibration suppression. The control design problem is reformulated as optimising a scalar subject to a set of linear matrix inequalities (LMIs). The vibration suppression performance of the cooperative control scheme is examined in both time domain and frequency domain via simulations.

Keywords

Vibration damping FEM Observer Cooperative control LMIs 

Notes

Acknowledgements

This work is supported by the European Commission under the framework of FP7-PEOPLE-2013-ITN—Marie-Curie Action: “Innovative Training Networks”: ARRAYCON—applications of distributed control on smart structures, with project reference 605087.

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Copyright information

© The Society of Experimental Mechanics, Inc. 2016

Authors and Affiliations

  • Xueji Zhang
    • 1
    • 2
    • 3
    Email author
  • Zhongzhe Dong
    • 1
    • 2
    • 3
  • Cassio Faria
    • 2
  • Kristian Hengster-Movric
    • 1
  • Wim Desmet
    • 3
  1. 1.Faculty of Electrical EngineeringČVUT v PrazePrague 2Czech Republic
  2. 2.Engineering Service DivisionSiemens Industry Software NVLeuvenBelgium
  3. 3.Department of Mechanical EngineeringKU LeuvenHeverleeBelgium

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