Abstract
This chapter presents, through several example case studies and representative systems, the notion and implementation of vibration control using piezoelectric actuators and sensors. Using the modeling developments and derivations in the preceding chapters, a comprehensive treatment is provided for active vibration absorption as well as vibration control using piezoelectric materials for a variety of systems. These include the application of piezoelectric actuators and/or sensors in both axial and transverse configurations as well as piezoelectric control design using lumped-parameters and distributed-parameters representations.
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- 1.
The materials in this section may have come directly or collectively from our publication (Jalili and Esmailzadeh 2005, Sect. 23.3.2).
- 2.
The materials in this section may have come directly from our publication (Jalili and Esmailzadeh 2005, Sect. 23.3.2).
- 3.
The materials presented here may have come, directly or collectively, from our recent publication (Vora et al. 2008).
- 4.
The materials presented in this section may have come directly from our publication (Ramaratnam and Jalili 2006).
References
Bashash S, Jalili N (2009) Robust adaptive control of coupled parallel piezo-flexural nano-positioning stages. IEEE/ASME Trans Mechatron 14(1):11–20
Bashash S, Vora K, Jalili N (2008b) Distributed-parameters modeling and control of rod-like solid-state actuators. J Vibration and Control, submitted for publication
Bontsema J, Cartain RF, Schumacher JM (1988) Robust control of flexible systems: A case study, Automatica 24:177–186
Clark WW (2000) Vibration control with state-switched piezoelectric materials. J Intell Mater Syst Struct 11(4):263–271
Dadfarnia M, Jalili N, Liu Z, Dawson DM (2004a) An observer-based piezoelectric control of flexible Cartesian robot arms: theory and experiment. Control Eng Pract 12:1041–1053
Garcia E, Dosch J, Inman DJ (1992) The application of smart structures to the vibration suppression problem. J Intell Mater Syst Struct 3:659–667
Ge SS, Lee TH, Zhu G (1997) A nonlinear feedback controller for a single-link flexible manipulator based on a finite element method. J Robotic Syst 14(3):165–178
Gurjar M, Jalili N (2007) Towards ultrasmall mass detection using adaptive self-sensing piezoelectrically-driven cantilevers. IEEE/ASME Trans Mechatronics 12(6):680–688
Hagood NW, Von Flotow A (1991) Damping of structural vibrations with piezoelectric materials and passive electrical networks. J Sound Vib 146(2):243–268
Itoh T, Lee C, Suga T (1996) Deflection detection and feedback actuation using a self-excited piezoelectric Pb(Zr,Ti)O3 microcantilever for dynamic scanning force microscopy. Appl Phys Lett 69(14):2036–2038
Jalili N, Olgac N (1998) Time-optimal/sliding mode control implementation for robust tracking of uncertain flexible structures. Int J Mechatron 8(2):121–142
Jalili N (2000) A new perspective for semi-automated structural vibration control. J Sound Vib 238(3):481–494
Jalili N, Olgac N (2000a) Identification and re-tuning of optimum delayed feedback vibration absorber. AIAA J Guid Control Dyn 23(6):961–970
Jalili N (2001a) An infinite dimensional distributed base controller for regulation of flexible robot arms. ASME J Dyn Sys, Measur Cont 123(4):712–719
Jalili N, Knowles DW (2004) Structural vibration control using an active resonator absorber: modeling and control implementation. Smart Mater Struct 13(5):998–1005
Jalili N, Esmailzadeh E (2005) Vibration control, chapter 23 of the vibration and shock handbook, CRC Press LLC, ISBN/ISSN: 0-84931580, 23:1047–1092
Jones L, Gracia E, Waites H (1994) Self-sensing control as applied to a PZT stack actuator used as a micropositioner. Smart Mater Struct 3:147–156
Knowles D, Jalili N, Khan T (2001) On the nonlinear modeling and identification of piezoelectric inertial actuators. Proceedings of 2001 international mechanical engineering congress and exposition (IMECE’01), New York, NY, Nov
Law WW, Liao W-H, Huang J (2003) Vibration control of structures with self-sensing piezoelectric actuators incorporating adaptive mechanism. Smart Mater Struct 12:720–730
Lou ZH (1993) Direct strain feedback control of flexible robot arms: New theoretical and experimental results. IEEE Trans Automat Control 38(11):1610–1622
Matyas J (1965) Random optimization. Autom Remote Control 22:246–253
Meirovitch L (2001) Fundamentals of vibrations, McGraw Hill
Moheimani SOR, Fleming AJ (2006) Piezoelectric transducers for vibration control and damping, Springer, New York
Olgac N, Holm-Hansen B (1994) Novel active vibration absorption technique: delayed resonator. J Sound Vib 176:93–104
Olgac N, Jalili N (1998) Modal analysis of flexible beams with delayed-resonator vibration absorber: Theory and experiments. J Sound Vib 218(2):307–331
Olgac N (1995) Delayed resonators as active dynamic absorbers, United States Patent # 5431261
Olgac N, Elmali H, Vijayan S (1996) Introduction to dual frequency fixed delayed resonator (DFFDR). J Sound Vib 189:355–367
Olgac N, Elmali H, Hosek M, Renzulli M (1997) Active vibration control of distributed systems using delayed resonator with acceleration feedback. ASME J Dyn Syst Measur Control 119:380–389
Preumont A (2002) Vibration control of active structures: An introduction, 2nd edn. Kluwer Academic Publishers, Dordrecht
Ramaratnam A (2004) Semi-active vibration control using piezoelectric-based switched stiffness. Master’s Thesis, Department of Mechanical Engineering, Clemson University
Ramaratnam A, Jalili N (2006a) A switched stiffness approach for structural vibration control: Theory and real-time implementation. J Sound Vib 291(1–2):258–274
Ramaratnam A, Jalili N (2006b) Reinforcement of piezoelectric polymers with carbon nanotubes: pathway to development of next-generation sensors. J Intell Mater Syst Struct 17(3):199–208
Ramaratnam A, Jalili N, Rajoria H (2004a) Development of a novel strain sensor using nanotube-based materials with applications to structural vibration control. Proceedings of the international society for optical engineering, sixth international conference on vibration measurements by laser techniques: advances and applications, vol 5503. Ancona, Italy, pp 478–485
Ramaratnam A, Jalili N, Dawson DM (2004b) Semi-active vibration control using piezoelectric-based switched stiffness. Proceedings of American control conference, Boston, MA
Ramaratnam A, Jalili N, Grier M (2003) Piezoelectric vibration suppression of translational flexible beams using switched stiffness, Proceedings of 2003 international mechanical engineering congress and exposition (IMECE 2003-41217), Washington DC
Renzulli M, Ghosh-Roy R, Olgac N (1999) Robust control of the delayed resonator vibration absorber. IEEE Trans Control Syst Technol 7(6):683–691
Richard D, Guyomar D, Audigier, Ching G (1999), Semi-passive damping using continuous switching of a piezoelectric device, smart structures and materials. Passive Damping Isolation 3672:104–111
Rogers L, Manning, Jones M, Sulchek T, Murray K, Beneshott N, Adams J (2003) Mercury vapor detection with self-sensing, resonating, piezoelectric cantilever. Rev Sci Instrum 74:4899
Shaw J (1998) Adaptive vibration control by using magnetostrictive actuators. J Intell Mater Syst Struct 9:87–94
Shen Z, Shih WY, Shih W-H (2006) Self-exciting, self-sensing PbZr0:53Ti0:47O3=SiO2 piezoelectric microcantilevers with Femtogram/Hertz sensitivity. Appl Phys Lett 89:023506
Slotine JJ, Sastry SS (1983) Tracking control of non-linear systems using sliding surface with application to robot manipulators. Int J Control 38:465–492
Slotine JJ (1984) Sliding controller design for nonlinear systems. Int J Control 40:421–434
Utkin VI (1977) Variable structure systems with sliding modes. IEEE Trans Automat Control 22:212–222
Vora K, Bashash S, Jalili N (2008) Modeling and forced vibration analysis of rod-like solid-state actuators. Proceedings of the 2008 ASME Dynamic Systems and Control Conference (DSCC’08), Ann Arbor, MI (Oct 20–22, 2008)
Xian B, de Queiroz MS, Dawson DM, McIntyre ML (2003) Output feedback variable structure control of nonlinear mechanical systems, Proceedings of IEEE conference on decision and control, Hawaii
Yuh J (1987) Application of discrete-time model reference adaptive control to a flexible single-link robot. J Robotic Sys 4:621–630
Zhou J, Li P, Zhang S, Huang Y, Yang P, Bao M, Ruan G (2003) Self-excited piezoelectric microcantilever for gas detection. Microelectronic Eng 69:37
Zhu G, Ge SS, Lee TH (1997) Variable structure regulation of a flexible arm with translational base. Proceedings of 36th IEEE conference on decision and control, San Diego, CA, pp 1361–1366
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Jalili, N. (2010). Vibration Control Using Piezoelectric Actuators and Sensors. In: Piezoelectric-Based Vibration Control. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-0070-8_9
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