Active Damping with Collocated System

Chapter
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 246)

Abstract

This chapter focuses on collocated systems. The property of alternating poles and zeros is used to develop single-input single-output active damping schemes with guaranteed stability for various actuator and sensor types. The following controller are examined: Lead controller, Direct Velocity Feedback (DVF), Positive Position Feedback (PPF), Integral Force Feedback (IFF). The duality between the Lead and the IFF controller is discussed and the formula for the maximum achievable damping is demonstrated. The results are later generalized to the decentralized control of multi-input multi-output structures with collocated pairs. The chapter concludes with a short list of references and a set of problems.

Keywords

Active damping Collocated system Lead controller Direct velocity feedback (DVF) Positive position feedback (PPF) Integral force feedback (IFF) Duality Maximum damping 

References

  1. 1.
    Aubrun JN (1980) Theory of the control of structures by low-authority controllers. AIAA J Guid Control Dyn 3(5):444–451MathSciNetCrossRefMATHGoogle Scholar
  2. 2.
    Balas MJ (1979) Direct velocity feedback control of large space structures. AIAA J Guid Control Dyn 2(3):252–253CrossRefGoogle Scholar
  3. 3.
    Baz A, Poh S, Fedor J (1992) Independent modal space control with positive position feedback. Trans ASME J Dyn Syst Meas Control 114(1):96–103CrossRefMATHGoogle Scholar
  4. 4.
    Benhabib RJ, Iwens RP, Jackson RL (1981) Stability of large space structure control systems using positivity concepts. AIAA J Guid Control Dyn 4(5):487–494MathSciNetCrossRefMATHGoogle Scholar
  5. 5.
    Davison EJ, Wang SH (1974) Properties and calculation of transmission zeros of linear multivariable systems. Automatica 10:643–658CrossRefMATHGoogle Scholar
  6. 6.
    de Marneffe B (2007) Active and passive vibration isolation and damping via shunted transducers. Ph.D. thesis, Université Libre de Bruxelles, Active Structures LaboratoryGoogle Scholar
  7. 7.
    Fanson JL, Caughey TK (1990) Positive position feedback control for large space structures. AIAA J 28(4):717–724CrossRefGoogle Scholar
  8. 8.
    Forward RL (1981) Electronic damping of orthogonal bending modes in a cylindrical mast experiment. AIAA J Spacecr 18(1):11–17CrossRefGoogle Scholar
  9. 9.
    Gevarter WB (1970) Basic relations for control of flexible vehicles. AIAA J 8(4):666–672CrossRefGoogle Scholar
  10. 10.
    Goh C, Caughey TK (1985) On the stability problem caused by finite actuator dynamics in the control of large space structures. Int J Control 41(3):787–802MathSciNetCrossRefMATHGoogle Scholar
  11. 11.
    Preumont A, Dufour JP, Malekian Ch (1992) Active damping by a local force feedback with piezoelectric actuators. AIAA J Guid Control Dyn 15(2):390–395CrossRefGoogle Scholar
  12. 12.
    Preumont A, Loix N, Malaise D, Lecrenier O (1993) Active damping of optical test benches with acceleration feedback. Mach Vib 2:119–124Google Scholar
  13. 13.
    Preumont A, Achkire Y, Bossens F (2000) Active tendon control of large trusses. AIAA J 38(3):493–498CrossRefGoogle Scholar
  14. 14.
    Preumont A, Bossens F (2000) Active tendon control of vibration of truss structures: theory and experiments. J Intell Mater Syst Struct 2(11):91–99CrossRefGoogle Scholar
  15. 15.
    Preumont A, de Marneffe B, Krenk S (2008) Transmission zeros in structural control with collocated MIMO pairs. AIAA J Guid Control Dyn 31(2):428–431CrossRefGoogle Scholar
  16. 16.
    Preumont A, Seto K (2008) Active control of structures. Wiley, New YorkCrossRefGoogle Scholar
  17. 17.
    Preumont A, Voltan M, Sangiovanni A, Mokrani B, Alaluf D (2016) Active tendon control of suspension bridges. J Smart Struct Syst 18(1):31–52CrossRefMATHGoogle Scholar
  18. 18.
    Schaechter D (1981) Optimal local control of flexible structures. AIAA J Guid Control Dyn 4(1):22–26CrossRefGoogle Scholar
  19. 19.
    Sim E, Lee SW (1993) Active vibration control of flexible structures with acceleration or combined feedback. AIAA J Guid Control Dyn 16(2):413–415CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Active Structures LaboratoryUniversité Libre de BruxellesBrusselsBelgium

Personalised recommendations