Advertisement

Positive Position Feedback (PPF) Control

  • Qibo Mao
  • Stanislaw Pietrzko
Chapter

Abstract

This chapter presents the design of a positive position feedback (PPF) controller based on low-pass filters and band-pass filters. In Sect. 6.1, the principle of the PPF controller is presented based on the single degree of freedom (SDOF) case. In Sect. 6.2, the loudspeaker–duct model is developed, several model interconnection methods in MATLAB are presented, and then the influence of loudspeaker dynamics is discussed. In Sect. 6.3, for the loudspeaker/microphone pair at the same location, the design of a PPF controller with an all-pass filter as phase compensation is presented. The Nyquist diagram, gain and phase margin, and root locus analysis are used to analyze the stability of the PPF controller. In Sect. 6.4, the PPF controller is extended for non-collocated loudspeaker/microphone pair. The calculation results show that the similar sound pressure reduction can be obtained by using a PPF controller with a non-collocated loudspeaker/microphone pair. In Sect. 6.5, the multimode control is discussed by using a single loudspeaker/microphone pair. In Sect. 6.6, a GUI program is given to design and analyze the PPF controller for a loudspeaker–duct model. And then we discuss how to share data between Simulink and GUI programs. In Sect. 6.7, the analog circuit for design of PPF controllers and all-pass filters are presented. Finally, some experimental results are presented to verify the simulation results.

Keywords

Control Path Interconnection Model Positive Position Feedback Root Locus Plot Error Microphone 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Clark RL, Saunders WR, Gibbs GP (1998) Adaptive structures: dynamics and control. Wiley, New YorkGoogle Scholar
  2. 2.
    Moheimani SOR, Fleming AJ (2006) Piezoelectric transducers for vibration control and damping. Springer, BerlinGoogle Scholar
  3. 3.
    Fanson JL, Caughey TK (1990) Positive position feedback control for large space structures. AIAA J 28(4):717–724CrossRefGoogle Scholar
  4. 4.
    Friswell MI, Inman DJ (1999) The relationship between positive position feedback and output feedback controllers. Smart Mater Struct 8:285–291CrossRefGoogle Scholar
  5. 5.
    Poh S, Baz A (1990) Active control of a flexible structure using a modal positive position feedback controller. J Intell Mater Syst Struct 1:273–288CrossRefGoogle Scholar
  6. 6.
    Hegewald T, Inman DJ (2001) Vibration suppression via smart structures across a temperature range. J Intell Mater Syst Struct 12:191–203CrossRefGoogle Scholar
  7. 7.
    Rew KH, Han JH, Lee I (2002) Multi-modal vibration control using adaptive positive position feedback. J Intell Mater Syst Struct 13:13–22CrossRefGoogle Scholar
  8. 8.
    Denoyer KK, Kwak MK (1996) Dynamic modelling and vibration suppression of a slewing structure utilizing piezoelectric sensors and actuators. J Sound Vib 189:13–31CrossRefGoogle Scholar
  9. 9.
    Moheimani SOR, Vautier BJG, Bhikkaji B (2006) Experimental implementation of extended multivariable ppf control on an active structure. IEEE Trans Control Syst Technol 14(3):443–445CrossRefGoogle Scholar
  10. 10.
    Kwak MK, Heo S (2007) Active vibration control of smart grid structure by multiinput and multioutput positive position feedback controller. J Sound Vib 304:230–245CrossRefGoogle Scholar
  11. 11.
    Shan J, Liu HT, Sun D (2005) Slewing and vibration control of a single-link flexible manipulator by positive position feedback (PPF). Mechatronics 15(4):487–503CrossRefGoogle Scholar
  12. 12.
    Gu H, Song G (2005) Active vibration suppression of a composite I-beam using fuzzy positive position control. Smart Mater Struct 14(4):540–547CrossRefGoogle Scholar
  13. 13.
    Nelson PA, Elliott SJ (1992) Active control of sound. Academic, LondonGoogle Scholar
  14. 14.

Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

  • Qibo Mao
    • 1
  • Stanislaw Pietrzko
    • 2
  1. 1.School of Aircraft EngineeringNanchang HangKong UniversityNanchangChina, People’s Republic
  2. 2.Empa, Swiss Federal Laboratories for Materials Science and TechnologyDübendorfSwitzerland

Personalised recommendations