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2012 | OriginalPaper | Chapter

1. Introduction

Authors : Gergely Takács, Boris Rohal’-Ilkiv

Published in: Model Predictive Vibration Control

Publisher: Springer London

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Abstract

Mechanical vibrations or, in other words, oscillations about an equilibrium point are present in countless real-life situations. If one thinks about vibrations, their positive and useful nature may come to mind: the sound of musical instruments emitted as a result of vibration, the mechanical feedback of cellular phones and game consoles or the action of loudspeakers. Engineering practice actively utilizes mechanical vibrations as well, for example to transport objects, to separate materials or to compact surfaces

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next chapter Basics of Vibration Dynamics

Courtesy of the Division of Work & Industry, National Museum of American History, Behring Center, Smithsonian Institution.

Note that the Tacoma Narrows Bridge collapse is strictly speaking not the best example of forced resonance, but a different concept of self-excitation [8].

Courtesy of NASA.

Courtesy of DASA and the European Space Agency (ESA).

Claimed to be the current fastest quadratic programming-based fully optimal MPC application by Dr William Heath on a seminar titled “Robustness of input constrained model predictive control”. 26th Oct. 2007, University of Oxford, Oxford.

Courtesy of The Boeing Company.

The term mechatronics was coined by Tetsuro Mori, a senior engineer at Yaskawa, in 1969.

Agrawal BN, Bang H (1996) Adaptive structures for large precision antennas. Acta Astronautica 38(3):175–183. doi:10.1016/0094-5765(96)00062-8, http://www.sciencedirect.com/science/article/B6V1N-3VTW8Y7-3/2/a53f7c4acb3ee1541568e0db4062d985

Ahmed B, Pota H (2011) Dynamic compensation for control of a rotary wing UAV using positive position feedback. J Intell Rob Syst 61:43–56. doi: 10.1007/s10846-010-9487-7, 10.1007/s10846-010-9487-7

Allaire PE, Lewis DW, Knight JD (1983) Active vibration control of a single mass rotor on flexible supports. J Franklin Inst 315(3):211–222. doi: 10.1016/0016-0032(83)90025-X, http://www.sciencedirect.com/science/article/B6V04-45D9SMR-M/2/62024de7918cc7b0b23d9703691ab67a

Beards CF (1996) Structural vibration: analysis and damping, 1st edn. Arnold, London

Bemporad A, Bozinis NA, Dua V, Morari M, Pistikopoulos EN (2000) Model predictive control: A multi-parametric programming approach. In: Pierucci S (ed) European Symposium on Computer Aided Process Engineering-10, Computer Aided Chemical Engineering, vol 8, Elsevier, pp 301–306. doi:10.1016/S1570-7946(00)80052-8, http://www.sciencedirect.com/science/article/B8G5G-4NK5JX8-1V/2/76240158054cdb0fb1454f6e0eaa5dfe

Bemporad A, Morrari M, Dua V, Pistikopoulos EN (2000) The explicit solution of model predictive control via multiparametric quadratic programming. In: Proceedings of the American control conference, Chicago, pp 872–876

Benaroya H, Nagurka ML (2010) Mechanical vibration: analysis, uncertainities and control, 3rd edn. CRC Press, Taylor & Francis Group, Boca Raton

Billah KY, Scanlan RH (1991) Resonance, Tacoma Narrows Bridge failure, and undergraduate physics textbooks. Am J Phys 59(2):118CrossRef

Bittanti S, Cuzzola FA (2002) Periodic active control of vibrations in helicopters: a gain-scheduled multi-objective approach. Control Eng Pract 10(10):1043–1057. doi:10.1016/S0967-0661(02)00052-7, http://www.sciencedirect.com/science/article/B6V2H-45KSPJJ-3/2/9647861ce849d131c7d4b90cdb964751

10.

Blachowski B (2007) Model based predictive control of guyed mast vibration. J Theor Appl Mech 45:405–523

11.

Boeing Company (2004) Boeing-led team successfully tests SMART materials helicopter rotor. http://www.boeing.com/news/releases/2004/q2/nr_040518t.html

12.

Boeing Company (2004) Boeing-led team successfully tests SMART materials helicopter rotor. http://www.boeing.com/news/releases/2004/photorelease/q2/ml

13.

Bohn C, Cortabarria A, Härtel V, Kowalczyk K (2004) Active control of engine-induced vibrations in automotive vehicles using disturbance observer gain scheduling. Control Eng Pract 12(8):1029–1039. doi:10.1016/j.conengprac.2003.09.008, http://www.sciencedirect.com/science/article/B6V2H-49Y3VWS-1/2/dd7bcefd1618f3820896ddbd6dce7430, in Special Section on Emerging Technologies for Active Noise and Vibration Control Systems

14.

Boscariol P, Gasparetto A, Zanotto V (2010) Model predictive control of a flexible links mechanism. J Intell Rob Syst 58:125–147. doi:10.1007/s10846-009-9347-5, 10.1007/s10846-009-9347-5

15.

Camino J, Arruda J (2009) \({\fancyscript{H}}_2\) and \({\fancyscript{H}}_\infty\) feedforward and feedback compensators for acoustic isolation. Mech Syst Sig Process 23(8):2538–2556. doi: 10.1016/j.ymssp.2009.04.006, http://www.sciencedirect.com/science/article/B6WN1-4W7J0YN-2/2/918091cd3d7b23193d5b3637eb2342ce

16.

Cannon M, Kouvaritakis B (2005) Optimizing Prediction Dynamics for Robust MPC. IEEE Trans Autom Control 50(11):1892–1897. doi:10.1109/TAC.2005.858679

17.

Cannon M, Liao W, Kouvaritakis B (2007) Efficient MPC optimization using Pontryagin’s minimum principle. Int J Robust Nonlinear Control 18((8):831–844MathSciNet

18.

Carotti A, Lio G (1991) Experimental active control: bench tests on controller units. Eng Struct 13(3):242–252. doi:10.1016/0141-0296(91)90036-C, http://www.scienceirect.com/science/article/B6V2Y-4829VWB-CG/2/4414a8cb4321f4e346ca04468e610264

19.

Cavagna L, Ricci S, Scotti A (2009) Active aeroelastic control over a four control surface wing model. Aerosp Sci Technol 13(7):374–382. doi: 10.1016/j.ast.2009.06.009, http://www.sciencedirect.com/science/article/B6VK2-4X315M3-1/2/e145579962804cd5026e72e011405013

20.

Chiang RY, Safonov MG (1991) Design of \({\fancyscript{H}}_\infty\) controller for a lightly damped system using a bilinear pole shifting transform. In: American Control Conference, 1991, pp 1927–1928

21.

Choi SB, Hong SR, Sung KG, Sohn JW (2008) Optimal control of structural vibrations using a mixed-mode magnetorheological fluid mount. Int J Mech Sci 50(3):559–568. doi:10.1016/j.ijmecsci.2007.08.001, http://www.sciencedirect.com/science/article/B6V49-4PD4XHC-1/2/c491dc4a4a881e38b0e20ceef7206dec

22.

Croft J (2009) Sikorksy to test active vibration control for S-92 rotor hub. Online, available: http://www.flightglobal.com/articles/2009/02/16/322533/sikorksy-to-test-active-vibration-control-for-s-92-rotor.html

23.

DASA and European Space Agency (ESA) (1997) Huygens probe vibration test. Image ID: 444f43350fd4c500

24.

de Silva CW (2006) Vibration: fundamentals and practice. 2nd edn. CRC Press, Boca Raton

25.

Division of Work & Industry, National Museum of American History, Behring Center, Smithsonian Institution (1940) The collapse of the Tacoma Narrows Bridge. Photograph obtained on 30.06.2011, used with permission

26.

Dong X, Meng G, Peng J (2006) Vibration control of piezoelectric smart structures based on system identification technique: Numerical simulation and study. J Sound Vib 297:680–693MathSciNetCrossRef

27.

Eissa M, Bauomy H, Amer Y (2007) Active control of an aircraft tail subject to harmonic excitation. Acta Mech Sin 23:451–462. doi:10.1007/s10409-007-0077-2, 10.1007/s10409-007-0077-2

28.

El-Badawy AA, Nayfeh AH (2001) Control of a directly excited structural dynamic model of an F-15 tail section. J Franklin Inst 338(2-3):133–147. doi: 10.1016/S0016-0032(00)00075-2, http://www.sciencedirect.com/science/article/B6V04-42HNMDV-3/2/e3bf6f797834c8e8638324be88fb78f7

29.

Eski I, Yıldırım S (2009) Vibration control of vehicle active suspension system using a new robust neural network control system. Simul Modell Pract Theory 17(5):778–793. doi:10.1016/j.simpat.2009.01.004, http://www.sciencedirect.com/science/article/B6X3C-4VHSDJ4-1/2/d2fe946695b369279d2e1229f15a61bd

30.

Fei H, Zheng G, Liu Z (2006) An investigation into active vibration isolation based on predictive control: Part I: Energy source control. J Sound Vib 296(1-2):195–208. doi:10.1016/j.jsv.2006.02.021, http://www.sciencedirect.com/science/article/B6WM3-4K18VTN-5/2/80551dd9ac1e1a29dac9c9e25601ea6e

31.

Ferreau HJ (2006) An online active set strategy for fast solution of parametric quadratic programs with applications to predictive engine control. Master’s thesis, University of Heidelberg

32.

Ferreau HJ, Bock HG, Diehl M (2008) An online active set strategy to overcome the limitations of explicit MPC. Int J Robust Nonlinear Control 18(8):816–830MathSciNetCrossRef

33.

Fischer D, Isermann R (2004) Mechatronic semi-active and active vehicle suspensions. Control Eng Pract 12(11):1353–1367. doi:10.1016/j.conengprac.2003.08.003, http://www.sciencedirect.com/science/article/B6V2H-49V1CR4-2/2/0dd89d1b7760e7303a32b5bdd2cbbf9b (Mechatronic Systems)

34.

Fuller CR, Elliott SJ, Nelson PA (1996) Active control of vibration, 1st edn. Academic Press, San Francisco

35.

Fung RF, Liu YT, Wang CC (2005) Dynamic model of an electromagnetic actuator for vibration control of a cantilever beam with a tip mass. J Sound Vib 288(4–5):957–980. doi: 10.1016/j.jsv.2005.01.046, http://www.sciencedirect.com/science/article/B6WM3-4G4N5VD-1/2/fc3710f0625ef69f19d16c8778a63e58

36.

Guclu R (2006) Sliding mode and PID control of a structural system against earthquake. Math Comput Modell 44(1–2):210–217. doi: 10.1016/j.mcm.2006.01.014, http://www.sciencedirect.com/science/article/B6V0V-4JP9FV5-1/2/0900f85ba6e764d746c054ac040aff77 (Advances in business modeling and decision technologies, pp 1–95)

37.

Hassan M, Dubay R, Li C, Wang R (2007) Active vibration control of a flexible one-link manipulator using a multivariable predictive controller. Mechatronics 17(1):311–323CrossRef

38.

Hatch MR (2000) Vibration Simulation Using MATLAB and ANSYS, 1st edn. Chapman and Hall/CRC, Boca RatonMATHCrossRef

39.

Hu Q (2009) A composite control scheme for attitude maneuvering and elastic mode stabilization of flexible spacecraft with measurable output feedback. Aerosp Sci Technol 13(2–3):81–91. doi: 10.1016/j.ast.2007.06.007, http://www.sciencedirect.com/science/article/B6VK2-4P96269-2/2/5fbc47249fdd3f1963c5ba856f071c55

40.

Inman DJ (2006) Vibration with control, 1st edn. Wiley, ChichesterCrossRef

41.

Inman DJ (2007) Engineering Vibrations. 3rd edn edn. Pearson International Education (Prentice Hall), Upper Saddle River

42.

Jastrzebski RP, Hynynen KM, Smirnov A (2010) \({\fancyscript{H}}_\infty\) control of active magnetic suspension. Mech Syst Sig Process 24(4):995–1006. doi: 10.1016/j.ymssp.2009.10.008, http://www.sciencedirect.com/science/article/B6WN1-4XJP3XR-2/2/51b0222180b2610516135c196f226b0e

43.

Jnifene A (2007) Active vibration control of flexible structures using delayed position feedback. Syst Control Lett 56(3):215–222. doi: 10.1016/j.sysconle.2006.10.005, http://www.sciencedirect.com/science/article/B6V4X-4MJC1V9-1/2/5fe33b4788d9ca97d9a9938bc7742194

44.

Johnson D (2003) Active blade vibration control being developed and tested. Website, available: http://www.grc.nasa.gov/WWW/RT2002/5000/5930johnson.html

45.

Jung WJ, Jeong WB, Hong SR, Choi SB (2004) Vibration control of a flexible beam structure using squeeze-mode ER mount. J Sound Vib 273(1–2):185–199. doi: 10.1016/S0022-460X(03)00478-4, http://www.sciencedirect.com/science/article/B6WM3-49DFFMM-1/2/1255ad59eca53b0c021632de61aef0b8

46.

Kang B, Mills JK (2005) Vibration control of a planar parallel manipulator using piezoelectric actuators. J Intell Rob Syst 42:51–70. doi:10.1007/s10846-004-3028-1, 10.1007/s10846-004-3028-1

47.

Kawasaki Heavy Industries, Ltd (2011) AVR (Active Vibration Reduction) System for BK117 Helicopter. Online, http://www.khi.co.jp/english/rd/tech/136/ne136s01.html

48.

Kim Y, Langari R, Hurlebaus S (2009) Seismic response control of a large civil structure equipped with magnetorheological dampers. In: IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2009, pp 215 –220. doi: 10.1109/FUZZY.2009.5277045

49.

Kouvaritakis B, Rossiter J, Schuurmans J (2000) Efficient robust predictive control. IEEE Trans Autom Control 45(8):1545–1549. doi:10.1109/9.871769

50.

Kouvaritakis B, Cannon M, Rossiter J (2002) Who needs QP for linear MPC anyway? Automatica 38:879–884. doi:10.1016/S0005-1098(01)00263-1, http://www.sciencedirect.com/science/article/pii/S0005109801002631

51.

Kvasnica M (2009) Real-time model predictive control via multi-parametric programming: theory and tools, 1st edn. VDM Verlag, Saarbrücken

52.

Lara A, Bruch J, Sloss J, Sadek I, Adali S (2000) Vibration damping in beams via piezo actuation using optimal boundary control. Int J Solids Struct 37:6537–6554MATHCrossRef

53.

Larchez A (2007) Finite element modelling of piezoelectric structures. PhD thesis, School of Electrical, Computer and Telecommunication Engineering, University of Wollongong, Wollongong

54.

Lau K, Zhou L, Tao X (2002) Control of natural frequencies of a clamped-clamped composite beam with embedded shape memory alloy wires. Compos Struct 58(1):39–47. doi:10.1016/S0263-8223(02)00042-9, http://www.sciencedirect.com/science/article/B6TWP-45XTP9W-N/2/07b9a065ac866d8869a4240deb918851

55.

Lee J, Kim J, Cheong C (1999) Piezoelectric smart structures for noise reduction in a cabin. J Mech Sci Technol 13:451–458. doi: 10.1007/BF02947714

56.

Li S, Kouvaritakis B, Cannon M (2010) Improvements in the efficiency of linear MPC. Automatica 46(1):226–229. doi:10.1016/j.automatica.2009.10.010, http://www.sciencedirect.com/science/article/B6V21-4XGCHXB-3/2/20a93fa6dd4fb88469638ac3bc2fe729

57.

Lin LC, Lee TE (1997) Integrated PID-type learning and fuzzy control for flexible-joint manipulators. J Intell Rob Syst 18:47–66. doi:10.1023/A:1007942528058, 10.1023/A:1007942528058

58.

Lu H, Meng G (2006) An experimental and analytical investigation of the dynamic characteristics of a flexible sandwich plate filled with electrorheological fluid. Int J Adv Manuf Technol 28:1049–1055. doi:10.1007/s00170-004-2433-8, 10.1007/s00170-004-2433-8

59.

Luo T, Hu Y (2002) Vibration suppression techniques for optical inter-satellite communications. In: IEEE 2002 international conference on communications, circuits and systems and west sino expositions, vol 1. pp 585–589. doi:10.1109/ICCCAS.2002.1180687

60.

Maciejowski JM (2000) Predictive control with constraints, 1st edn. Prentice Hall, Upper Saddle River

61.

Mahmoodi SN, Craft MJ, Southward SC, Ahmadian M (2011) Active vibration control using optimized modified acceleration feedback with adaptive line enhancer for frequency tracking. J Sound Vib 330(7):1300–1311. doi:10.1016/j.jsv.2010.10.013, http://www.sciencedirect.com/science/article/B6WM3-51D894K-1/2/25e8ef1bcadb5fd2aa078de4d678c7f4

62.

Marzbanrad J, Ahmadi G, Jha R (2004) Optimal preview active control of structures during earthquakes. Eng Struct 26(10):1463–1471. doi: 10.1016/j.engstruct.2004.05.010, http://www.sciencedirect.com/science/article/B6V2Y-4CYNR00-1/2/271b4c49fa053fb1a95d5df632c701c8

63.

Mehra R, Amin J, Hedrick K, Osorio C, Gopalasamy S (1997) Active suspension using preview information and model predictive control. In: Proceedings of the 1997 IEEE International Conference on control applications, pp 860–865. doi:10.1109/CCA.1997.627769

64.

Moon SM, Clark RL, Cole DG (2005) The recursive generalized predictive feedback control: theory and experiments. J Sound Vib 279(1–2):171–199. doi:10.1016/j.jsv.2003.12.034, http://www.sciencedirect.com/science/article/B6WM3-4C005WR-2/2/4580a0865591eaa5ca1bf02e09dedcb7

65.

Moon SM, Cole DG, Clark RL (2006) Real-time implementation of adaptive feedback and feedforward generalized predictive control algorithm. J Sound Vib 294(11-2):82–96. doi:10.1016/j.jsv.2005.10.017, http://www.sciencedirect.com/science/article/B6WM3-4HYMY76-1/2/50d98047187533ebe9d3ea8310446e77

66.

NASA Langley Research Center (NASA-LaRC) (1996) Full scale dynamic model of the EOS-AM1 Satellite. Image ID: EL-1996-00034

67.

Newton I (1867) Philosophiæ Naturalis Principia Mathematica. 1st edn. Edmond Halley/Royal Society, London

68.

Pan MC, Chien C (2010) Adaptive hybrid tracking-error control for DVD drives in vehicular systems. Microsyst Technol 16:279–286. doi:10.1007/s00542-009-0856-8

69.

Phillips DJ, Hyland DC, Collins CG (1990) Experimental demonstration of active vibration control for flexible structures. In: IEEE Conference Decision Control, vol 4, pp 2024–2029

70.

Pistikopoulos EN, Georgiadis MC, Dua V (eds) (2007) Multi-parametric model-based control. 1st edn. vol 2, Wiley-VCH Verlag GmbH & Co., Weinheim

71.

Popular Science Monthly (1878) Graphical method of observing the mode of vibration of a tuning-fork vol 13. Photograph. Online, in public domain. http://commons.wikimedia.org/wiki/File:PSM_V13_D179_Graphical_observation_of_a_vibrating_tuning_fork.jpg

72.

Preumont A (2002) Vibration Control of Active Structures, 2nd edn. Kluwer Academic Publishers

73.

Preumont A, Seto K (2008) Active control of structures. 3rd edn. Wiley, ChichesterCrossRef

74.

Qin SJ, Badgwell TA (1999) An overview of nonlinear model predictive control applications. In: Zheng FAA (eds) Nonlinear model predictive control. Birkhauser Verlag, pp 369–392

75.

Richelot J, Bordeneuve-Guibe J, Pommier-Budinger V (2004) Active control of a clamped beam equipped with piezoelectric actuator and sensor using generalized predictive control. In: 2004 IEEE international symposium on industrial electronics, vol 1, pp 583–588. doi:10.1109/ISIE.2004.1571872

76.

Ríos-Gutiérrez M, Silva-Navarro G (2010) Suppression of mechanical vibrations in a building like structure by means of a piezoelectric patch actuator and positive acceleration feedback. In: 2010 7th International Conference on Electrical Engineering Computing Science and Automatic Control (CCE), pp 452–457. doi:10.1109/ICEEE.2010.5608581

77.

Rossing TD, Moore RF, Wheeler PA (2001) The science of sound, 3rd edn. Addison Wesley, San Francisco

78.

Rossiter JA (2003) Model-based predictive control: a practical approach, 1st edn. CRC Press, Boca Raton

79.

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):487–503. doi:10.1016/j.mechatronics.2004.10.003, http://www.sciencedirect.com/science/article/B6V43-4DR87K7-4/2/2dd311fdd61308e1415cd45c1edc3076

80.

Shoureshi R, Knurek T (1996) Automotive applications of a hybrid active noise and vibration control. IEEE Control Syst Mag 16(6):72–78. doi:10.1109/37.546272

81.

Song G, Qiao PZ, Bibienda WK, Zhou GP (2002) Active vibration damping of composite beam using smart sensors and actuators. J Aerosp Eng 15(3):97–103CrossRef

82.

Su YX, Duan BY, Wei Q, Nan RD, Peng B (2002) The wind-induced vibration control of feed supporting system for large spherical radio telescope using electrorheological damper. Mechatronics 13(2):95–110. doi:10.1016/S0957-4158(01)00042-3, http://www.sciencedirect.com/science/article/B6V43-46WPHMS-2/2/eca7cd44909e99a1f8c6ad76a4fd4f19

83.

Sun D, Mills JK, Shan J, Tso SK (2004) A PZT actuator control of a single-link flexible manipulator based on linear velocity feedback and actuator placement. Mechatronics 14(4):381–401. doi:10.1016/S0957-4158(03)00066-7, http://www.sciencedirect.com/science/article/B6V43-49DN5K4-1/2/fa21df547f182ad568cefb2ddf3a6352

84.

Takács G, Rohal’-Ilkiv B (2009) Implementation of the Newton–Raphson MPC algorithm in active vibration control applications. In: Mace BR, Ferguson NS, Rustighi E (eds) Proceedings of the 3rd international conference on noise and vibration: emerging methods, Oxford

85.

Takács G, Rohal’-Ilkiv B (2009) MPC with guaranteed stability and constraint feasibility on flexible vibrating active structures: a comparative study. In: Hu H (ed) Proceedings of the eleventh IASTED international conference on control and applications, Cambridge

86.

Takács G, Rohal’-Ilkiv B (2009) Newton–Raphson based efficient model predictive control applied on active vibrating structures. In: Proceedings of the European control conference, Budapest

87.

Takács G, Rohal’-Ilkiv B (2009) Newton–Raphson MPC controlled active vibration attenuation. In: Hangos KM (eds) Proceedings of the 28 IASTED international conference on modeling. Identification and Control, Innsbruck

88.

University of Washington, University Libraries (2009) History of the Tacoma Narrows Bridge. http://www.lib.washington.edu/specialcoll/exhibits/tnb/

89.

Wang Y, Boyd S (2008) Fast model predictive control using online optimization. In: Proceedings of the 17th world congress the international federation of automatic control, Seoul, November 7, 1940. http://www.wsdot.wa.gov/tnbhistory/Connections/connections3.htm

90.

Wang Y, Boyd S (2010) Fast model predictive control using online optimization. IEEE Trans Control Syst Technol 18(2):267--278

91.

Washington State Department of Transportation (2005) "Galloping Gertie" collapses November 7, 1940. http://www.wsdot.wa.gov/tnbhistory/Connections/connections3.htm

92.

Wigglesworth W, Jordan S (2010) Nano-scale imaging and fabrication advances driven by piezoelectric active vibration control. Whitepaper, http://www.rdmag.com/uploadedFiles/RD/White_Papers/2010/03/PiezoVibrationIsolationMicroscopyLithography.pdf

93.

Wills A, Bates D, Fleming A, Ninness B, Moheimani R (2005) Application of MPC to an active structure using sampling rates up to 25 kHz. In: 44th IEEE conference on decision and control, 2005 and 2005 European control conference CDC-ECC ’05, pp 3176–3181. doi:10.1109/CDC.2005.1582650

94.

Wills AG, Bates D, Fleming AJ, Ninness B, Moheimani SOR (2008) Model predictive control applied to constraint handling in active noise and vibration control. IEEE Trans Control Syst Technol 16(1):3–12CrossRef

95.

Wilson DG, Robinett RD, Parker GG, Starr GP (2002) Augmented sliding mode control for flexible link manipulators. J Intell Rob Syst 34:415–430. 10.1023/A:1019635709331. doi:10.1023/A:1019635709331

96.

Yim W (1996) Modified nonlinear predictive control of elastic manipulators. In: Proceedings of the 1996 IEEE international conference on robotics and automation, vol 3, pp 2097–2102. doi:10.1109/ROBOT.1996.506180

97.

Youmans EL (1873) Wave-action in nature. Popular Science Monthly 3:3–12

98.

Zhang CL, Mei DQ, Chen ZC (2002) Active vibration isolation of a micro-manufacturing platform based on a neural network. J Mater Process Technol 129(1–3):634–639. doi:10.1016/S0924-0136(02)00671-4, http://www.sciencedirect.com/science/article/B6TGJ-46V46C0-4P/2/8e8228760a4ac6759cef159e6fcb7606

99.

Žiaran S (2006) Znižovanie kmitania a hluku v priemysle, 1st edn. Slovak University of Technology, Bratislava (Attenuation of vibration and noise in industry) In Slovak language.

100.

Zilletti M, Elliott SJ, Gardonio P (2010) Self-tuning control systems of decentralised velocity feedback. J Sound Vib 329(14):2738–2750. doi: 10.1016/j.jsv.2010.01.024, http://www.sciencedirect.com/science/article/B6WM3-4YCGKVX-1/2/81a53368279e8e5c8664ee835d4b4985

101.

Zmeu K, Shipitko E (2005) Predictive controller design with offline model learning for flexible beam control. In: Proceedings of the 2005 international conference on physics and control, pp 345–350. doi:10.1109/PHYCON.2005.1514005

Title: Introduction
Authors: Gergely Takács
Boris Rohal’-Ilkiv
Publisher: Springer London
Book: Model Predictive Vibration Control
Print ISBN: 978-1-4471-2332-3

Electronic ISBN: 978-1-4471-2333-0

Copyright Year: 2012
DOI: https://doi.org/10.1007/978-1-4471-2333-0_1

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