Active Vibration Control of a Structure with Output Feedback Based on Simultaneous Optimization Design Method

  • Kim, Young-Bok (Center for Educational-Industrial Cooperation, Pukyong National University)
  • Published : 2000.01.01

Abstract

Recent advances in the field of control theory have enabled us to design active vibration control systems for various structures. In many studies, the controller used to suppress vibration has been synthesized for the given mathematical model of structure. In these cases, the designer has not been able to utilize the degree of freedom to adjust the structural parameters of the control object. To overcome this problem, so called 'Structure/Control Simultaneous Optimization Method' is used. In this context of view, this paper is concerned with the active vibration control of bridge towers, platforms and ocean vehicles etc. Simultaneous design method is used to achieve optimal system performance. Here, a general framework for the simultaneous design problem of output feedback case is introduced based on LMI (Linear Matrix Inequality). The simulation results show that the proposed design method achieves desirable control performance.

Keywords

References

  1. Shin, J., Kim, H.S., Park, S.H., Hong, J.S. and Oh, J.E., 1996. 'Active Vibration Control of a Structure of a Flexible Cantilever Beam Using Filtered-x LMS Algorithm,' Proc. in KSME 1996, pp. 93-110
  2. Oh, J. E., Park, S. H., Hong, J. S. and Shin, J., 1998. 'Active Vibration Control of a Structure of a Flexible Cantilever Beam Using Piezo Actuator and Filtered-x LMS Algorithm,' KSME International Journal, Vol. 12, No.4, pp. 665-671
  3. Park, S. H., Hong, J. S., Kim, H. S., Shin, J. and Oh, J. E., 1998. 'Active Vibration Control of Flexible Plate on the Acoustically Loaded Enclosure Using Filtered-x LMS Algorithm,' KSME Journal (A), Vol. 22, No. 10, pp. 1792-1797(in Korean)
  4. Iwatsubo, T., Kawamura, S. and Adachi, K., 1993. 'Research Trends and Future Subjects on Simultaneous Optimum Design of Structural and Control Systems for Mechanical Structure,' JSME (C), Vol. 59, No. 559, pp. 631-635(in Japanese)
  5. Onoda, J., 1995. 'Simultaneous Optimization of Space Structures and Control Systems,' Systems, Control and Information of Japan, Vol. 39, No.3, pp. 136-141 (in Japanese)
  6. Obinata, G., 1997. 'Simultaneous Optimization Design of Structure and Control System,' J. SICE of Japan, Vol. 36, No.4, pp. 254-261 (in Japanese)
  7. Shi, G. and Skelton, R.E., 1996, 'An Algorithm for Integrated Structure and Control Design with Variance Bounds,' Proc. in 35th CDC, pp. 167-172 https://doi.org/10.1109/CDC.1996.574283
  8. Tanaka, H. and Sugie, T., 1998. 'General Framework and BMI Formula for Simultaneous Design of Structure and Control System,' Trans. of SICE, Vol. 34, No.1, pp. 27-34(in Japanese)
  9. Gahinet, P. and Apkarian, P., 1994. 'A Linear Matrix Inequality Approach to Hoo Control,' Int. J. Robust and Nonlinear Control, Vol. 4, No.4, pp. 421-448
  10. Goh, M. K. C. and Papavassilopoulos, G.P., 1994. 'A Global Optimization Approach for BMI Problem,' Proc. in 33th CDC, pp. 850-855 https://doi.org/10.1109/CDC.1994.411445
  11. Boyd, S. and Ghaoui, L. EL., 1993. 'Linear Algebra and Its Applications,' SIAM Book, pp. 63 -111