Distributed parameter-dependent modeling and control of flexible structures

Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME

Volumn 127, Issue 2, 2005, Pages 230-239

  Wu, Fen ^a   Yildizoglu, Suat E ^a  

^a North Carolina State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISTRIBUTED MODELING; FLEXIBLE SYSTEMS; LINEAR INEQUALITIES; MULTI-DIMENSIONAL SYSTEMS;

APPROXIMATION THEORY; COMPUTER SIMULATION; CONTROL EQUIPMENT; ERRORS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MATRIX ALGEBRA; PARAMETER ESTIMATION;

CONTROL SYSTEMS;

EID: 21244472011     PISSN: 00220434     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1898240     Document Type: Article

References (19)

1. Meirovitch, L., 1997, Principles and Techniques of Vibrations, Prentice-Hall, Upper Saddle River, NJ.
2. Balas, M. J., 1978, "Active Control of Flexible Systems," J. Optim. Theory Appl., 25(3), pp. 415-436.
3. Shiffman, J. J., 1993, "Lyapunov Functions and the Control of the Euler-Bemoulli beam," Int. J. Control, 57(4), pp. 971-990.
4. Balas, M. J., 1982, "Trends in Large Space Structure Control Theory: Fondest Hopes, Wildest Dreams," IEEE Trans. Autom. Control, AC-27, pp. 522-535.
5. Bruant, I., Coffignal, G., Lene, F., and Verge, M., 2001, "Active Control of Beam Structures with Piezoelectric Actuators and Sensors: Modeling and Simulation," Smart Mater. Struct., 10, pp. 404-408.
6. Varadan, V. V., Lim, Y, and Varadan, V. K., 1996, "Closed Loop Finiteelement Modeling of Active/Passive Damping in Structural Vibration Control," Smart Mater. Struct., 5, pp. 685-694.
7. Kim, J., Varadan, V. V., Varadan, V. K., and Bao, X., 1996, "Finite-element Modeling of a Smart Cantilever Plate and Comparison with Experiments," Smart Mater. Struct., 5, pp. 165-170.
8. Bamieh, B., 1997, "The Structure of Optimal Controllers of Spatially Invariant Distributed Parameter Systems," Proc. IEEE Conf. Dec. Contr., pp. 10561061.
9. Bamieh, B., Paganini, F., and Dahleh, M., 2002, "Distributed Control of Spatially-invariant Systems," IEEE Trans. Autom. Control, AC-47(7), pp. 1091-1107.
10. D'Andrea, R., 1998, "A Linear Matrix Inequality Approach to Decentralized Control of Distributed Parameter Systems," Proc. Amer. Contr. Conf., pp. 1350-1354.
11. D'Andrea, R., and Dullerud, G. E., 2003, "Distributed Control of Spatially Interconnected Systems," IEEE Trans. Autom. Control, AC-48(9), pp. 14781495.
12. Dullerud, G. E., D'Andrea, R., and Lall, S. G., 1998, "Control of Spatially Varying Distributed Systems," Proc. 37th IEEE Conf. Dec. Contr., pp. 1889-1893.
13. Wu, F., 2003, "Distributed Control for Interconnected Linear Parameter-dependent Systems," IEE Proc.: Control Theory Appl., 150(5), pp. 518-527.
14. Lupi, V. D., Chun, H. M., and Turner, J. D., 1992, "Distributed Control and Simulation of a Bernoulli-Euler Beam," AIAA J. Guid. Control Dyn., 15(3), pp. 727-734.
15. Zhou, K., and Doyle, J. C., 1998, Essentials of Robust Control, Prentice Hall, Upper Saddle River, NJ.
16. Popov, E. P., 1976, Mechanics of Materials, Prentice Hall, Upper Saddle River, NJ., 2 Ed.
17. Spector, V. A., and Flashner, H., 1989, "Flexible Manipulator Modeling for Control System Development," AIAA J. Quid. Control Dyn., 12(6), pp. 943-945.
18. Yousefi-Koma, A., 1997, "Active Vibration Control of Smart Structures using Piezoelements," Ph.D. dissertation, University of Michigan, MI.
19. D'Andrea, R., 1999, "Software for Modeling, Analysis and Control Design for Multidimensional Systems," Proc. IEEE Int. Symp. Computer-Aided Contr. Syst. Design, pp. 24-27.