Integrated actuator-sensor placement and hybrid controller design of flexible structures under worst case spatiotemporal disturbance variations

Journal of Intelligent Material Systems and Structures

Volumn 15, Issue 12, 2004, Pages 901-921

  Demetriou, Michael A ^a  

^a Worcester Polytechnic Institute   (United States)

Author keywords

Actuator location; Flexible structures; Hybrid system; Multiple models; Piezoceramic actuators; Spatial robustness; Supervisory system; Switching actuator; Switching controller

Indexed keywords

ACTUATORS; CLOSED LOOP CONTROL SYSTEMS; CONTROL EQUIPMENT; MATHEMATICAL MODELS; PIEZOELECTRIC MATERIALS; ROBUSTNESS (CONTROL SYSTEMS); SENSORS; SET THEORY; THEOREM PROVING; TRANSFER FUNCTIONS;

ACTUATOR LOCATION; HYBRID SYSTEM; MULTIPLE MODELS; PIEZOCERAMIC ACTUATORS; SPATIAL ROBUSTNESS; SUPERVISORY SYSTEMS; SWITCHING ACTUATOR; SWITCHING CONTROLLER;

FLEXIBLE STRUCTURES;

EID: 11944274299     PISSN: 1045389X     EISSN: None     Source Type: Journal    
DOI: 10.1177/1045389X04045152     Document Type: Article

References (48)

1. Abdalla, M.O., Nobrega, E.G. and Grigoriadis, K.M. 2001. "Fault Detection and Isolation Filter Design for Linear Parameter Varying Systems," In: Proceedings of the American Control Conference, Arlington, VA, pp. 3890-3895.
2. Banks, H.T., Smith, R.C. and Wang, Y. 1996. Smart Material Structures: Modeling, Estimation and Control, Wiley-Masson, New York.
3. Blevins, R.D. 1979. Formulas for Natural Frequency and Mode Shape, Krieger Publishing Company, Malabar, Fia.
4. Boyd, S., Ghaoui, L.E., Feron, E. and Balakrishnan, V. 1994. "Linear Matrix Inequalities in System and Control Theory," SIAM Studies in Applied Mathematics, Society for Industrial and Applied Mathematics, Philadelphia, PA.
5. Branicky, M. 1998. "Multiple Lyapunov Functions and Other Analysis Tools for Switched and Hybrid Systems," IEEE Transactions on Automatic Control, 43(4):475-482.
6. Butkovskiy, A.G. and Pustyl'Nikov, L.M. 1987. Mobile Control of Distributed Parameter Systems, Ellis Horwood Limited, Chichester.
7. Castanier, M.P. and Pierre, C. 1995. "Lyapunov Exponents and Localization Phenomena in Multi-coupled Nearly Periodic Systems," J. of Sound and Vibration, 183(3):495-515.
8. Castanier, M.P. and Pierre, C. 1997. "Predicting Localization via Lyapunov Exponent Statistics," J. of Sound and Vibration, 203(1):151-157.
9. Choura, S. and Jayasuriya, S. 1991. "On the Control of Distributed Parameter Systems by Moving Force Actuators," AIAA Journal of Guidance, Control and Dynamics, 14(6):1200-1207.
10. Curtain, R.F. and Zwart, H.J. 1995. An Introduction to Infinite Dimensional Linear Systems Theory, Texts in Applied Mathematics, Vol. 21, Springer-Verlag, Berlin.
11. de Oliveira, M.C. and Geromel, J.C. 2000. "Linear Output Feedback Controller Design with Joint Selection of Sensors and Actuators," IEEE Transactions on Automatic Control, 45(12):2412-2419.
12. Demetriou, M.A. 2000a. "A Numerical Algorithm for the Optimal Placement of Actuators and Sensors for Flexible Structures," In: Proceedings of the 2000 American Control Conference, Chicago, IL, USA, pp. 2290-2294.
13. Demetriou, M.A. 2000b. "Vibration Control of Flexible Structures Using an Optimally Moving Actuator," In: Proceedings of the 14th ASCE Engineeering Mechanics Division Conference, University of Texas at Austin, Austin, Texas.
14. Demetriou, M.A. 2000c. "Activation Policy of Smart Controllers for Flexible Structures with Multiple Actuator/Sensor Pairs," In: Proceedings of the Fourteenth International Symposium on Mathematical Theory of Networks and Systems, MTNS 2000, Perpignan, France.
15. Demetriou, M.A. 2001a. "Optimal Switching Policy of Smart Actuators in Flexible Structures," In: Proceedings of the SPIE's Annual International Symposium on Smart Structures and Materials and NDE for Health Monitoring and Diagnostics, Newport Beach, California, 4-8 March 2001.
16. Demetriou, M.A. 2001b. "LMI Approach to Global and Local Controller Design of Flexible Structures with Switching Piezoceramic Actuators," In: Proceedings of the AIAA Guidance, Navigation and Control Conference, Montreal, Quebec, Canada, August 6-9.
17. Demetriou, M.A. 2001c. "Temporal Allocation of Actuator Groups for the Control of Flexible Cables with Multiple Switching Actuators," In: Proceedings of the 2001 IEEE Conference on Control Applications, Mexico City, Mexico, September 5-7.
18. Demetriou, M.A. 2003. "Integrated Actuator Placement and Supervisory in Flexible Structures Under Spatiotemporal Disturbance Variations," In: Proceedings of the 2003 AIAA Guidance, Navigation, and Control Conference and Exhibit, Austin TX.
19. Demetriou, M.A. and Borggaard, J. 2003. "Optimization of an Integrated Actuator Placement and Robust Control Scheme for Distributed Parameter Processes Subject to Worst Case Spatial Disturbance Distribution," In: Proceedings of the 2003 American Control Conference, Denver, Colorado.
20. Demetriou, M.A. and Murugavel, M.M. 2003. "Numerical Simulation and Experimental Verification of Supervisory Control Scheme of a Flexible Beam with Switching Piezo Actuators," Journal of Dynamics of Continuous, Discrete and Impulsive Systems, Series B Suppl. S 214-219.
21. Fahroo, F. and Wang, Y. 1997. "Optimal Location of Piezoceramic Actuators for Vibration Suppression of a Flexible Structure," In: Proceedings of the 36th IEEE Conference on Decision and Control, San Diego, CA, pp. 1966-1971.
22. Feron, E., Apkarian, P. and Gahinet, P. 1996. "Analysis and Synthesis of Robust Control Systems via Parameter-Dependent Lyapunov Functions," IEEE Transactions on Automatic Control, 41(7): 1041-1046.
23. Gahinet, P., Nemirovski, A., Laub, A.J. and Chilali, M. 1995. LMI Control Toolbox, The MathWorks, Inc., Natick, MA.
24. Gawronski, W. 1998. "Dynamics and Control of Structures," A. Modal Approach, Springer-Verlag, New York.
25. 2 Control of a Piezoelectric Laminate Beam: Experimental Implementation," IEEE Transactions on Control Systems Technology, 10(4): 533-546.
26. Halim, D. and Moheimani, S.O.R. 2003. "An Optimization Approach to Optimal Placement of Collocated Piezoelectric Actuators and Sensors on a Thin Plate," Mechatronics, 13:27-47.
27. Henrion, D., Arzelier, D., Peaucelle, D. and Šebek, M. 2001. "An LMI Condition for Robust Stability of Polynomial Matrix Polytopes," Automatica, 37: 461-458.
28. Inman, D.J. 1989, Vibration with Control, Measurement and Stability, Prentice Hall, Englewood Cliffs, N.J.
29. Jayasuriya, S. and Choura, S. 1989. Active Vibration Suppression by Moving Force Actuators, In: Proceedings of the 1989 American Control Conference, Pittsburgh, PA.
30. Junkins, J.L. and Kim, Y. 1993. Introduction to Dynamics and Control of Flexible Structures, AIAA Education Series, Washington, DC.
31. Kolmanovsky, I. and McClamroch N.H. 2000. "Switching Between Controllers to Improved Closed Loop Stability," In: Proceedings of the 2000 Americal Control Conference, Chicago, Illinois, pp. 2702-2703.
32. Leissa, A. 1993. Vibration of Plates, The Acoustical Society of America Through the American Institute of Physics.
33. Liberzon, D. 2003. Switching in Systems and Control, Birkhäuser, Boston.
34. Liberzon, D. and Morse, A.S. 1999. "Basic Problems in Stability and Design of Switched Systems," In: IEEE Control Systems Magazine, pp. 59-70.
35. 2-type Cost," In: Fourteenth International Symposium on Mathematical Theory of Networks and Systems, MTNS 2000, Perpignan, France.
36. Moheimani, S.O.R. 2000. "Experimental Verification of the Corrected Transfer Function of a Piezoelectric Laminate Beam," IEEE Transactions on Control Systems Technology. 8(4):660-666.
37. Narendra, K.S. and Balakrishnan, J. 1994a. "A Common Lyapunov Function for Stable LTI Systems with Commuting A-matrices," IEEE Transactions in Automatic Control, 39(12):2469-2471.
38. Narendra, K.S. and Balakrishnan, J. 1994b. "Improving Transient Response of Adaptive Control Systems Using Multiple Models and Switching," IEEE Transactions in Automatic Control, 39(9): 1861-1866.
39. Narendra, K.S. and Balakrishnan, J. 1997. "Adaptive Control Using Multiple Models, IEEE Transactions in Automatic Control. 42(2):171-187.
40. Narendra, K.S. and Driollet, O.A. 2000. "Adaptive Control Using Multiple Models, Switching, and Tuning," In: Proceedings of the IEEE Symposium on Adaptive Systems for Signal Processing, Communications and Control, pp. 159-164.
41. Nobrega, E.G., Abdalla, M.O. and Grigoriadis, K.M. 2000. "Lmi-based Filter Desing for Fault Detection and Isolation," In: Proceedings of the American Control Conference, Chicago, IL, pp. 4329-4334.
42. Pinkaew, T. 1999. "Vibration Control of Flexible Structures with Movable Sensor/Actuator System," In: Proceedings of the 13th ASCE Engineering Mechanics Division Conference, Baltimore, MD.
43. Preumont, A. 1997. Vibration Control of Active Structures: An Introduction, Kluwer Academic Publishers, Dordrecht, Boston.
44. Savkin, A.V. and Evans, R.J. 2002. Hybrid Dynamical Systems: Controller and Sensor Switching Problems, Birkhäuser, Boston.
45. Skelton, R. 1988. Dynamic Systems Control: Linear Systems Analysis and Synthesis, John Wiley & Sons, Inc., New York.
46. Skelton, R.E., Iwasaki, T. and Grigoriadis, K. 1998. A Unified Approach to Linear Control Design, Taylor & Francis, Bristol, PA.
47. Xu, X. and Antsaklis, P.J. 2000. "Optimal Control of Switched Systems: New Results and Open Problems," In: Proceedings of the 2000 America! Control Conference, Chicago, Illinois, pp. 2683-2688.
48. Zhou, K., Doyle, J.C. and Glover, K. 1996. Robust and Optimal Control, Prentice Hall, New Jersey.