Abstract
Piezoelectric materials are finding increasing applications in active vibration control of flexible structures. The active vibration control for the laminated plane bonded with piezoelectric sensors and actuators is researched in this paper. A set of vibration control equations, sensing equations and actuating equations are derived through using the modal theory for piezoelectric flexible structures, then the model is converted into the state space form. A LQR controller is designed based on the independent mode space control techniques. Finally, the paper takes a piezoelectric cantilever beam as an example, and the simulation results demonstrate the controller is able to suppress efficiently the flexible structure’s vibration with piezoelectric sensors and actuators.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Dong, X.-J., Meng, G., Peng, J.-C.: Vibration control of piezoelectric smart structures based on system identification technique, Numerical simulation and experimental study. Journal of Sound and Vibration 297, 680–693 (2006)
Bailey, T., Hubbard, J.E.: Distributed Piezoelectric-Polymer active vibration control of a cantilever beam. Guidant and control 8(5), 605–611 (1985)
Goh, C.J., Caughey, T.K.: On the Stability Problem Caused by Finite Actuator Dynamics in the Collocated Control of Large Space Structure. Int. J. Control 41(3), 787–802 (1985)
Fanson, J.L., Caughey, T.K.: Positive Position Feedback Control for Large Space Structure. AIAA Journal 28(4), 717–724 (1990)
Agrawal, B.N., Bang, H.: Adaptive Structure for Large Precision Antennas, 4.9. In: Congress of the Intemational Astronautical Federation (Jerusalem, Israel) (1994)
Newman, S.M.: Active Damping Control of a Flexible Space Structure Using Piezoelectric Sensors and Actuators, Master Thesis, U.S. Naval Postgraduate School (1992)
Won, C.C., Sulla, J.L., Sparks, D.W., Belvin, W.K.: Application of Piezoelectric Devices to Vibration Suppression. Journal of Guidance, Control, and Dynamics 17(6)
Agrawal, B.N.: Spacecraft Vibration Suppression Using Smart Structures. In: Fourth Intemational Congress on Sound and Vibration, St. Petersburg, Russia, June 1996, pp. 563–570 (1996)
Harrington, W.B.: Optimal Linear Quadratic Gaussian Controller Design for a Flexible Spacecraft Simulator, M.S. Thesis, Naval Postgraduate School (December 1995)
Halim, Dunant.: Vibration analysis and control of smart Structures. Australian, University of Newcastle (2003)
Huang, S.l., Tao, B.Q., Sheng, Y.P.: Intelligent structure systems: dream, reality and future. China mechanical engineering (2000)
Sung, Y.-G.: Modelling and control with piezoactuators for a simply supported beam under a moving mass. Journal of sound and vibration (2002)
Aldrihem, O.J.: Optimal size and location of piezoelectric actuator/sensors practical consideration. Journal of Guidance Control and Dynamics 23(3), 509–515 (2000)
Fraser, A.R., Daniel, R.W.: Perturbation Techniques for flexible Manipulators. Kluwer Academic Publishers, Massachusetts (1991)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zhang, J., He, L., Wang, E., Gao, R. (2008). The Design of LQR Controller Based on Independent Mode Space for Active Vibration Control. In: Kang, L., Cai, Z., Yan, X., Liu, Y. (eds) Advances in Computation and Intelligence. ISICA 2008. Lecture Notes in Computer Science, vol 5370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92137-0_71
Download citation
DOI: https://doi.org/10.1007/978-3-540-92137-0_71
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-92136-3
Online ISBN: 978-3-540-92137-0
eBook Packages: Computer ScienceComputer Science (R0)