International Journal of Precision Engineering and Manufacturing

Korean Society for Precision Engineering (한국정밀공학회)
권호 표지

Combined Optimal Design of Robust Control System and Structure System for Truss Structure with Collocated Sensors and Actuators

  • Published : 2002.04.01
Download PDF
⟨ Previous Next ⟩

Abstract

A control-structure combined optimal design problem is discussed taking a 3-D truss structure as a design object. We use descriptor forms for a controlled object and a generalized plant because the structural parameters appear naturally in these farms. We consider not only minimum weight design problem for structure system, but also suppression problem of the effect of disturbances for control system as the purpose of the design. A numerical example shows the validity of combined optimal design of structure and control systems. We also consider the validity of sensor-actuator collocation for control system design in this paper.

Keywords

References

  1. J. Onoda, 'Structure/Control Simultaneous Optimum Design for Space Structure,' Trans. of ISCIE, Vol.39, No.3, pp. 136-141, 1995
  2. S. Iwatsubo, J. Kawamura and Y. Adachi, 'Research trend and Problem in the future concerning Simultaneous Optimum Design of Structural and Control Systems for Machine Structure,' Trans. of JSME, Vol. 59, No. 559, pp. 631-637, 1993 https://doi.org/10.1299/kikaic.59.631
  3. M. Salama, et al., 'Simultaneous Optimization of Controlled Structures,' Journal of the Computational Mechanics, Vol. 88, No. 3, pp. 275-282, 1988 https://doi.org/10.1007/BF00368961
  4. J. Onoda, and R. T. Haftka, 'An Approach to Structure/ControI Simultaneous Optimization for Large Flexible Spacecraft,' AIAA journal, Vol. 25, No.8, pp. 1133-1138, 1987 https://doi.org/10.2514/3.9754
  5. S. S. Rao, et al., 'Robustness Improvement of Actively Controlled Structures through Structural Modifications,' AIAA Journal, Vol. 28, No. 2, pp.353-361, 1990 https://doi.org/10.2514/3.10396
  6. N. S. Khot, 'Structure/Control Optimization to Improve the Dynamic Response of Space Structures,' Journal of the Computational Mechanics, Vol. 88, No. 3, pp. 179-186, 1988 https://doi.org/10.1007/BF00297444
  7. R. V. Grandhi, 'Structural and Control Optimization of Space Structures,' Journal of the Computers and Structures, Vol. 31, No. 2, pp. 139-150, 1989 https://doi.org/10.1016/0045-7949(89)90222-8
  8. H. Kajiwara, D. Tsujioka, and J, Nagamatsu, 'Simultaneous optimum design of structural and control systems by complex method,' Trans. of JSME. Vol. 59, No. 563, pp. 2124-2131, 1993 https://doi.org/10.1299/kikaic.59.2124
  9. Y. Tada, M. Ikeda. and H. Terao, ' Structural Optimal Design for Suppression of the Effect of Disturbance by H$H_\infty$ Control (in case of Output Feedback),' Trans. of JSME, Vol. 63, No. 610, pp.1956-1961, 1997 https://doi.org/10.1299/kikaic.63.1956
  10. G. Obinata, et al., 'Combined Optimal Design of Structural and Control Systems for Machine Structure (Formulation of H$H_\infty$ Optimal Design Problem based on Descriptor Representation),' Trans. of JSME, Vol. 62, No. 597, pp. 1765-1772, 1996 https://doi.org/10.1299/kikaic.62.1765
  11. M. Ikeda, 'System Theory based on Descriptor Form,' SICE Journal, Vol. 24, No. 7, pp. 597-604, 1985
  12. Time of Saw from Control Theory,' Proc. of the 31th Conf. JSME Kansai Branch, pp. 74-75, 1996
  13. K. Takaba, and T. Katayama, 'Descriptor System and $H_\infty$ Control,' SICE Journal, Vol. 34, No. 9, pp.733-740, 1995
  14. D. Mori, Introduction of Finite Etement Method by C language, Morikita Press, 1989
  15. M. Petrt, Introduction to finite Element Vibration Analysis, Cambridge Univercity Press, 1990
  16. T. Maeda and W. Sugie, System Controt Theory for Advanced Control, Asakura Press, 1992
  17. J. Mita, $H_\infty$ Control, Shokodou Press, 1994
  18. M. Ikeda and K. Takeuchi, 'Controller Design for Space Structure with Collocated Sensors and Actuators,' SICE Journal, Vol. 30, No. 10, pp.1209-1215, 1994 https://doi.org/10.9746/sicetr1965.30.1209
  19. Y. Yoshise, 'Optimization Method for Convex Programming Problem,' Trans. of ISCIE, Vol. 38, No.3, pp. 155-160, 1994
  20. M. J. Box, D. Davies, and W. H. Swann, Non Linear Optimization Methods, Baihukan Press, 1972