International Journal of Precision Engineering and Manufacturing

Korean Society for Precision Engineering (한국정밀공학회)
권호 표지

Robust Controller Design for a Stabilized Head Mirror

  • Published : 2002.10.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, LMI (Linear Matrix Inequality) based on H$\_$$\infty$/ controller for a lire of sight (LOS) stabilization system. It shows that the proposed controller has more excellent stabilization performance than that of the conventional PI-Lead controller. An H$\_$$\infty$/ control has been also applied to the system for reducing modeling errors and the settling time of the system. The LMI-based H$\_$$\infty$/ controller design is more practical in view of reducing a run-time than Riccati-based H$\_$$\infty$/ controller. This H$\_$$\infty$/ controller is available not only to decrease the gain in PI-Lead control, but also to compensate the identifications for the various uncertain parameters. Therefore, this paper, shows that the proposed LMI-based H$\_$$\infty$/ controller had good disturbance attenuation and reference input tracking performance compared with the control performance of the conventional controller under any real disturbances.

Keywords

References

  1. M. Iecovich, 'Line of Sight Stabilization Requirements for Target tracking Systems,' Proceedings of SPIE Acquisition, Tracking, and Pointing IV, Vol. 1304, pp. 100-111, 1990
  2. M. H. Lee, The Study on Stabilization Characteristic and Control of Stabilized Head Mirror, Final Report to Agency for Defense Development, 1990
  3. B. Li, D. Hullender, and M. Direnzo, 'Active Compensation for Gimbal Bearing Friction in Vibration Isolation and Inertial Stabilization Problems,' ASME Active Control of Vibration and Noise, DE-Vol. 75, pp. 471-476, 1994
  4. J. E. Keh, and M. H. Lee, 'Sliding Mode Control of the Gunner's Primary Stabilized Head Mirror,' Journal of the Korean Society of Precision Engineering, Vol. 10, pp. 109-117, 1999
  5. J. E. Keh, 'Performance Evaluation and Robust Controller Design of a Line of Sight Stabilization System,' Ph. D. Thesis, Pusan National Univ., 2000
  6. P. Gahinet, and P. Apkarian, 'An LMI-based parametrization of all Hoo controllers with applications,' Proceedings of IEEE Conference Decision and Control, pp. 656-661, December 1993
  7. S. Boyd, L. El Ghaoui, E. Feon, and V. Balakrisnan, Linear Matrix Inequalities in Systems and Control Theory, SIAM, Philadelphia, 1994
  8. P. Gahinet, and P. Apkarian, 'A linear matrix inequality approach to H$\infty$ control,' International Journal of Robust and Nonlinear Control, Vol. 4, pp. 421-448, 1994 https://doi.org/10.1002/rnc.4590040403
  9. P. Gahinet, A. Nemirouski, A. J. Laub, and M. Chilali, LMI Control Toolbox, Math Works, 1995
  10. J. C. Doyle, K. Glover, P. Khargonekar, and B. A. Francis, 'State-space solutions to standard H2 and Hoo control problems.' IEEE Transactions on Automatic Control, Vol. 34, No. 8, pp. 831-847, August 1989 https://doi.org/10.1109/9.29425
  11. K. Zhou, and J. C. Doyle, Essentials of Robust Control, Prentice Hall, 1998
  12. Murat Zeren, and Hitay Ozbay, 'On the Synthesis of Stable $H\infty$ Controller,' 1EEE Transactions on Automatic Control, Vol. 44, No. 2, pp. 431-435, February 1999 https://doi.org/10.1109/9.746285