Experiments on optimal vibration control of a flexible beam containing piezoelectric sensors and actuators

Shock and Vibration

Volumn 10, Issue 5-6, 2003, Pages 283-300

  Abreu, Gustavo L C M ^a   Ribeiro, José F ^a   Steffen Jr , Valder ^a  

^a FEDERAL UNIVERSITY OF UBERLÂNDIA   (Brazil)

Author keywords

Optimal control design; Optimal location for sensors actuators; Smart structures

Indexed keywords

ACTUATORS; CANTILEVER BEAMS; CONTROL SYSTEM SYNTHESIS; CONTROLLABILITY; EQUATIONS OF MOTION; INTELLIGENT STRUCTURES; MATHEMATICAL MODELS; OBSERVABILITY; OPTIMAL CONTROL SYSTEMS; PIEZOELECTRIC TRANSDUCERS; SENSORS; STATE ESTIMATION;

KALMAN OBSERVER; LINEAR QUADRATIC REGULATOR; OPTIMAL VIBRATION CONTROL;

VIBRATION CONTROL;

EID: 0347024964     PISSN: 10709622     EISSN: None     Source Type: Journal    
DOI: 10.1155/2003/594083     Document Type: Article

References (26)

1. J.J. Dosh, D.J. Inman and E. Garcia, A Self-sensing Piezo-electric Actuator for Collocated Control, J. of Intell. Mater. Systems and Structures 3(1) (1992), 166-185.
2. E.K. Dimitriadis, C.R. Fuller and C.A. Rogers, Piezoelectric Actuators for Distributed Vibration Excitation of Thin Plates, Transactions of the ASME 113 (1991), 100-107.
3. C.R. Fuller, S.J. Elliott and P.A. Nelson, Active Control of Vibration, Academic Press Ltd, San Diego, CA, 1996, pp. 332.
4. Moheimani, Spatial Control for Active Vibration Control of Piezoelectric Laminates, Proceedings of the 37th IEEE Conference on Decision & Control, Tampa, Flórida, 1998, pp. 4308-4313.
5. H. Allik and T.J.R. Hughes, Finite Method for Piezoelectric Vibration, International Journal for Numerical Methods in Engineering 2 (1970), 151-157.
6. E.F. Crawley and J. de Luis, Use of Piezoelectric Actuators as Elements of Intelligent Structures, AIAA Journal 10(25) (1987), 1373-1385.
7. H.S. Tsou and C.I. Tseng, Distributed Piezoelectric Sensor/Actuator Design for Dynamic Measurement/Control of Distributed Parameter Systems: A Piezoelectric Finite Element Approach, Journal of Sound and Vibration 138(1) (1990), 17-34.
8. L. Meirovitch, Principles and Techniques of Vibrations, Prentice-Hall, New Jersey, 1997.
9. Y. Shen, A. Homaifar, M. Bikdash and D. Chen, Genetic Algorithms and Fuzzy Based Vibration Control of Plate Using PZT Actuators, Proceedings of the 37th IEEE Conference on Decision & Control, Tampa, Flórida, USA, 1998, pp. 2930-2933.
10. Y. Shen, A. Homaifar, M. Bikdash, and D. Chen, Active Control of Flexible Structures Using Genetic Algorithms and LQG/LTR Approaches, Proceedings of the American Control Conference, San Diego, California, USA, 1999, pp. 4398-4402.
11. Z. Wang, S. Chen and W. Han, Integrated Structural and Control Optimization of Intelligent Structures, Engineering Structures 21 (1999), 183-191.
12. G.C. Kirby and P. Matic, Optimal Actuator Size and Location Using Genetic Algorithms for Multivariable Control, ASME Adaptive Structures and Composite Materials: Analysis and Application 45 (1994), 325-335.
13. C.E. Pereira and V. Steffen Jr., Discrete-Continuous Optimization Techniques Applied to Smart Structure Vibration Control, A Conference & Exposition on Structural Dynamics, Los Angeles, Califórnia, 2002.
14. R.E. Skelton and A. Yousuff, Component Cost Analysis of Large Scale System, International Journal of Control 37(2) (1983), 285-304.
15. R.W. Soutas-Little and D.J. Inmam, Engineering Mechanics, Statics, Prentice-Hall, 1999.
16. A. Baz and S. Poh, Performance of an Active Control System with Piezoelectric Actuators, Journal of Sound and Vibrations 126(2) (1988), 327-343.
17. A. Dimarogonas, Vibration for Engineers, Prentice Hall, Second Ed., New Jersey, 1996.
18. H.R. Pota and T.E. Alberts, Multivariable Transfer Functions for a Slewing Piezoelectric Laminate Beam, ASME Journal of Dynamic Systems, Measurement, and Control 117 (1995), 353-359.
19. N. Loix and A. Preumont, Remarks on the Modeling of Active Structures with Colocated Piezoelectric Actuators and Sensors, Design Engineering Technical Conferences 3 (1995), 335-339.
20. Moheimani, Minimizing the effect of out of bandwidth modes in the truncated assumed modes models of structures, Proceedings of the American Control Conference, San Diego, CA, 1999, pp. 2718-2722.
21. B.D.O. Anderson and J.B. Moore, Optimal Control, Liner Quadratic Methods, Prentice Hall, 1990.
22. A.J. Laub, M.T. Heath, C.C. Paige and R.C. Ward, Computation of System Balancing Transformations and other Applications of Simultaneous Diagonalization Algorithms, IEEE Transactions on Automatic Control 32(2), 115-122.
23. R.E. Skelton, R. Singh and J. Ramakrishnan, Component Model Reduction by Component Cost Analysis, AIAA Guidance Navigation and Control Conference, Paper 88-4086, Mineapolis, MN, 1988.
24. K. Ogata, Modern Control Engineering, 4th edition, Prentice Hall, 2001.
25. ACX, Active Control eXperts, Inc. All rights reserved, 1996-2002, http://www.acx.com.
26. D.J. Ewins, Modal Testing: Theory, Practice and Application (Mechanical Engineering Research Studies. Engineering Dynamics Series). Research Studies Press Ltd, 2000.