Design of Robust Vibration Controller for a Smart Panel Using Finite Element Model

作者: W. Chang , Senthil V. Gopinathan , V. V. Varadan , V. K. Varadan

DOI: 10.1115/1.1448319

关键词:

摘要: This paper presents a model reduction method and uncertainty modeling for the design of low-order H∞ robust controller suppression smart panel vibration. A with collocated piezoceramic actuators sensors is modeled using solid, transition, shell finite elements, then size reduced in state space domain. designed not only to minimize vibration excited by applied uniform acoustic pressure, but also be reliable real world applications. introduces idea Modal Hankel Singular values (MHSV) reduce element minimum error. MHSV measures balanced controllability observability each resonance mode deselect insignificant modes. State realistic control conditions are formulated terms variables. These variables include performances, knowledge frequencies structure, damping ratio, static stiffness, unmodeled high modes, etc. The simplified combined as an integrated model, implemented theory parameterization. easy implement analog circuit provide low cost solution variety applications where may limiting factor.

参考文章(27)
S. Hanagud, M. W. Obal, A. J. Calise, OPTIMAL VIBRATION CONTROL BY THE USE OF PIEZOCERAMIC SENSORS AND ACTUATORS Journal of Guidance Control and Dynamics. ,vol. 15, pp. 1199- 1206 ,(1992) , 10.2514/3.20969
A. Baz, Robust control of active constrained layer damping Journal of Sound and Vibration. ,vol. 211, pp. 467- 480 ,(1998) , 10.1006/JSVI.1997.1315
K. Zhou, On the parameterization H/sub infinity / controllers IEEE Transactions on Automatic Control. ,vol. 37, pp. 1442- 1446 ,(1992) , 10.1109/9.159589
W.-K. TSENG, B. RAFAELY, S.J. ELLIOTT, LOCAL ACTIVE SOUND CONTROL USING 2-NORM AND ∞-NORM PRESSURE MINIMIZATION Journal of Sound and Vibration. ,vol. 234, pp. 427- 439 ,(2000) , 10.1006/JSVI.1999.2889
B Balachandran, A Sampath, J Park, Active control of interior noise in a three-dimensional enclosure Smart Materials and Structures. ,vol. 5, pp. 89- 97 ,(1996) , 10.1088/0964-1726/5/1/010
Robert L. Clark, David E. Cox, Active control design for acoustic radiation using mixed-norm optimization The Journal of the Acoustical Society of America. ,vol. 108, pp. 1345- 1348 ,(2000) , 10.1121/1.1288410
MICHAEL G. SAFONOV, D. J. N. LIMEBEER, R. Y. CHIANG, Simplifying the H∞ theory via loop-shifting, matrix-pencil and descriptor concepts International Journal of Control. ,vol. 50, pp. 2467- 2488 ,(1989) , 10.1080/00207178908953510
J.C. Doyle, K. Glover, P.P. Khargonekar, B.A. Francis, State-space solutions to standard H/sub 2/ and H/sub infinity / control problems IEEE Transactions on Automatic Control. ,vol. 34, pp. 831- 847 ,(1989) , 10.1109/9.29425