제어입력 크기제한을 갖는 시스템에서 외란 응답 감소를 위한 이산시간 이득 스케줄 제어

Gain Scheduled Discrete Time Control for Disturbance Attenuation of Systems with Bounded Control Input

  • 강민석 (경원대학교 기계자동차공학과) ;
  • 윤우현 (경원대학교 토목공학과)
  • Kang, Min-Sig (Department of Department of Mechanical and Automotive Engineering, Kyungwon Univ.) ;
  • Yoon, Woo-Hyun (Department of Civil Engineering, Kyungwon Univ.)
  • 발행 : 2009.03.01

초록

A new discrete time gain-scheduled control design is proposed to improve disturbance attenuation for systems with bounded control input under known disturbance maximum norm. The state feedback gains are scheduled according to the proximity of the state of the plant to the origin. The controllers are derived in the framework of linear matrix inequality(LMI) optimization. This procedure yields a linear time varying control structure that allows higher gain and hence higher performance controllers as the state moves closer to the origin. The main results give sufficient conditions for the satisfaction of a parameter-dependent performance measure, without violating the bounded control input condition under the given disturbance maximum norm.

키워드

참고문헌

  1. Bernstein, D. S. and Michel, A. N., "A Chronological Bibliography on Saturating Actuators," Int. J. of Robust and Nonlinear Control, Vol. 5, No. 5, pp. 375- 380, 1995 https://doi.org/10.1002/rnc.4590050502
  2. Stoorvogel, A. A. and Saberi, A. (Eds.), Special Issue on "Control Problems with Constraint," Int. J. of Robust and Nonlinear Control, Vol. 9, No. 10, pp. 583-734, 1999 https://doi.org/10.1002/(SICI)1099-1239(199908)9:10<583::AID-RNC422>3.0.CO;2-L
  3. Lin, Z. and Saberi, A., "A Semi-global Low-and- High Gain Design Technique for Linear Systems withInput Saturation - Stabilization and Disturbance Rejection," Int. J. of Robust and Nonlinear Control, Vol. 5, No. 5, pp. 381-398, 1995 https://doi.org/10.1002/rnc.4590050503
  4. Lin, Z., Saberi, A. and Teel, A. R., "Simultaneous Lp- stabilization and Internal Stabilization of Linear Systems Subject to Input Saturation - State SpaceFeedback Case," Systems and Control Letters, Vol. 25, No. 3, pp. 219-226, 1995 https://doi.org/10.1016/0167-6911(95)99124-9
  5. Nguyen, T. and Jabbari, F., "Disturbance Attenuation for LPV Systems with Bounded Inputs," Proc. of the American Control Conference, Vol. 3, pp. 1543-1547, 1998 https://doi.org/10.1109/ACC.1998.707238
  6. Nguyen, T. and Jabbari, F., "Disturbance Attenuation for Systems with Input Saturation: An LMI Approach," IEEE Trans. on Automatic Control, Vol. 44, No. 4, pp. 852-857, 1999 https://doi.org/10.1109/9.754833
  7. Nagpal, K., Abedor, J. and Poolla, K, "An LMI Approach to Peak-Peak Gain Minimization: Filtering and Control," Proc. of the American Control Conference, Vol. 1, pp. 742-746, 1994
  8. Boyd, S., El Ghaoui, L., Feron, E. and Balakrishnan, V., "Linear Matrix Inequalities in System and Control Theory," SIAM Books, 1994
  9. Kim, Y. B. and Byeon, J. H., "Robust Decoupling Control of Ship Propulsion System with CPP," J. of KSPE, Vol. 15, No. 9, pp. 33-42, 1998
  10. Keh, J. E. and Lee, M. H., "Robust Controller Design for a Stabilized Head Mirror," Int. J. of Precision Engineering and Manufacturing, Vol. 3, No. 4, pp.78-86, 2002
  11. Srivastava, S. and Jabbari, F., "Scheduled Controllers for Disturbance Attenuation of Systems with Bounded Inputs," Proc. of the American ControlConference, Vol. 2, pp. 735-739, 2000
  12. Kose, I. E. and Jabbari, F., "Scheduled Controllers for Linear Systems with Bounded Actuators," Automatica, Vol. 39, No. 8, pp. 1377-1387, 2003 https://doi.org/10.1016/S0005-1098(03)00114-6
  13. Kang, M. S., "Gain Scheduled Control for Disturbance Attenuation of Systems with Bounded Control Input - Theory," J. of the KSPE, Vol. 23, No. 6, pp. 81-87, 2006
  14. Kang, M. S., "Gain Scheduled Control for Disturbance Attenuation of Systems with Bounded Control Input - Application to Stabilization Control," J. of the KSPE, Vol. 23, No. 6, pp. 88-95, 2006
  15. Oliveria, M. C., Geromel, J. C. and Bernusson, J., "An LMI Optimization Approach to Multiobjective Controller Design for Discrete-time Systems," Proc.of the 36th Conference on Decision and Control, Vol. 4, pp. 3611-3616, 1999
  16. Choi, Y. J., Yu, K. W. and Kang, M. S., 'Observer Based Sliding Mode Control for a Dual Stage Target Tracking,' ASPEN 2007, pp. 302-304, 2007