Influence of Sensors and Actuators on the Design of the Modal Control System

  • V. A. Polyanskiy
  • A. K. Belyaev
  • N. A. Smirnova
  • A. V. Fedotov


The efficiency of the active vibration control of flexible systems is limited by the delay in the feedback loop, which causes instability at higher frequencies. In order to design the transfer functions of the feedback control system, it is necessary to use the frequency response functions of the control object. In the case where these functions cannot be measured experimentally, they can be derived from the model of the object. We consider the object model with and without taking into account the influence of sensors and actuators on its dynamics, and the results demonstrate that if this influence is neglected in the model, the efficiency of the control system can significantly decrease. We consider modal control of bending vibrations of a metal beam using piezoelectric sensors and actuators.


Active vibration control Modal control Identification Sensors Actuators 


  1. 1.
    Alkhatib, R., Golnaraghi, M.F.: Active structural vibration control: a review. Shock Vib. Dig. 35, 367–383 (2003)Google Scholar
  2. 2.
    Belyaev, A.K., Polyanskiy, V.A., Smirnova, N.A., Fedotov, A.V.: Identification procedure in the modal control of a distributed elastic system. St. Petersburg Polytech. Univ. J. Phys. Math. (2017).
  3. 3.
    Belyaev, A.K., Fedotov, A.V., Irschik, H., Nader, M., Polyanskiy, V.A., Smirnova, N.A.: Experimental study of local and modal approaches to active vibration control of elastic systems. J. Struct. Control Health Monit. (2018).
  4. 4.
    Biglar, M., Gromada, M., Stachowicz, F., Trzepiecinski, T.: Optimal configuration of piezoelectric sensors and actuators for active vibration control of a plate using a genetic algorithm. Acta Mech. (2015).
  5. 5.
    Braghin, F., Cinquemani, S., Resta, F.: A new approach to the synthesis of modal control laws in active structural vibration control. J. Vib. Control (2012).
  6. 6.
    Canciello, G., Cavallo, A.: Selective modal control for vibration reduction in flexible structures. Automatica (2017).
  7. 7.
    He, C., Jha, R.: Experimental evaluation of augmented UD identification based vibration control of smart structures. J. Sound Vib. 274, 1065–1078 (2004)Google Scholar
  8. 8.
    Mirafzal, S.H., Khorasani, A.M., Ghasemi, A.H.: Optimizing time delay feedback for active vibration control of a cantilever beam using a genetic algorithm. J. Vib. Control (2015).
  9. 9.
    Preumont, A.: Vibration Control of Active Structures: An Introduction, 3rd edn. Springer, Berlin (2011)Google Scholar
  10. 10.
    Tani, J., Takagi, T., Qiu, J.: Intelligent material systems: application of functional materials. Appl. Mech. Rev. 51, 505–521 (1998)Google Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • V. A. Polyanskiy
    • 1
  • A. K. Belyaev
    • 1
  • N. A. Smirnova
    • 1
  • A. V. Fedotov
    • 1
  1. 1.Institute for Problems in Mechanical EngineeringRussian Academy of SciencesSaint-PetersburgRussia

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