Acta Mechanica Slovaca 2010, 14(1):64-71 | DOI: 10.2478/v10147-011-0008-x
Active Vibration Control of Aluminium Flexible Structure Using Optimal Controller
- Department of Mechanical Engineering, PSG College of Technology, Coimbatore, India
Vibrations of aluminium flexible structure are actively controlled by using piezoelectric actuators. In active vibration control the control device has varying properties for controlling vibrations. In this active control system, the vibrations are sensed by the sensors which are placed at free end of the beam and these sensed signals are given as input to the control system. In turn, out put in the form of voltage is given to the piezoelectric actuator to control the vibrations by an optimal controller. Thus vibrations are controlled actively. In this paper, an optimal controller called Linear Quadratic Regulator has been designed involving minimization of the total energy of the beam along the length of the beam to control the vibrations of aluminium flexible beam. It is concluded that the vibrations due to step excitation are effectively controlled by optimal controller by varying weighting matrices.
Keywords: Flexible structure, active vibration control, optimal controller
Published: March 31, 2010 Show citation
References
- Young Kyu Kang, Hyun Chul Park, Jaehwan Kim., and Seung-Bok Choi, 2002, "Interaction of Active and Passive Vibration Control of Laminated Composite Beams with Piezoceramic Sensors/Actuators," Materials & Design., Vol. 23, 2002, pp. 277-286
Go to original source...
- Peng. X.Q., Lam. K.Y and Liu. G.R, 1998," Active Vibration Control of Composite Beams with Piezoelectrics: A Finite Element Model with Third Order Theory", Journal of Sound and Vibration., Vol. 209, 4, pp. 635-650
Go to original source...
- Pota H. R., Reza Moheimani. S.O and Matthew Smith, 2002," Resonant Controllers for Smart Structures", Smart Materials and Structures, Vol. 11, 2002, pp. 1-8
Go to original source...
- Reza Moheimani. S.O., Hemanshu R. Pota and Ian R. Petersen, "Spatial Control for Active Vibration Control of Piezoelectric Laminates", Proceedings of the 37th IEEE Conference on Decision &Control., December, 1998
- Dunant Halim and Reza Moheimani. S.O, "Spatial H2 Control of a Piezoelectric Laminate Beam: Experimental Implementation", IEEE Transactions on Control Systems Technology, Vol. 10, pp. 533-545, July, 2002
Go to original source...
- Lee. Y. Y, Yao. J, 2003, "Structual Vibration Suppression Using the Piezoelectric Sensors and Actuators", Journal of Vibrations and Acoustics, Vol. 125, pp. 109-113, January, 2003
Go to original source...
- Reza Moheimani. S.O, "A Survey of Recent Innovations in Vibration Damping and Control Using Shunted Piezoelectric Transducers", IEEE Transactions on Control System Technology, Vol. 11, No. 4, July 2003, pp. 482-494
Go to original source...
- Baz. A and Poh. S, 1988, "Performance of An Active Control System with Piezoelectric Actuators", Journal of Sound and Vibration, Vol.126, No. 2, pp. 327-343
Go to original source...
- Fuller C.R, Elliot S.J and Nelson P.A, "Active Control of Vibration", Academic Press, Sandiego, 1997
Go to original source...
- Andrew Dimarogonas, "Vibration for Engineers", prentice Hall, New Jersy, 1996
- Rober D.Cook, David S. Malkus and Michael E. Plesha, "Concepts & Applications of Finite Element Analysis", John Wiley & Sons, Singapore, 2000
- Stefani, Shahian, Savant and Hostetter, "Design of Feedback Control Systems", Oxford University Press, 2002
- Ashish Tewari, "Modern Control Design with Mat Lab & Simulink", John Wile & Sons, London, 2002
- Alberto Cavallo, Roberto Setola and Francesco Vasca, "Using Mat Lab Simulink & Control Systems Tool Box", Prentice Hall, Europe, 1996
- Benjamin C. Kuo, "Automatic Control Systems", Prentice Hall of India Pvt. Ltd., New Delhi, 1995
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