Journal of the Korean Society for Precision Engineering (한국정밀공학회지)

Korean Society for Precision Engineering (한국정밀공학회)
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Gain Scheduled Control for Disturbance Attenuation of Systems with Bounded Control Input - Theory

제어입력 크기제한을 갖는 시스템에서 외란 응답 감소를 위한 이득 스케쥴 제어 - 이론

  • 강민식 (경원대학교 기계공학과)
  • Published : 2006.06.01
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Abstract

A new gain-scheduled control design is proposed to improve disturbance attenuation for systems with bounded control input. The state feedback controller is scheduled according to the proximity to the origin of the state of the plant. The controllers is 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 move 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.

Keywords

References

  1. Bernstein, D. S. and Michel, A. N., 'A Chronological Bibliography on Saturating Actuators,' Int. J. of Robust and Nonlinear Control, Vol. 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, 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 with Input Saturation - Stabilization and Disturbance Rejection,' Int. J. of Robust and Nonlinear Control, Vol. 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 Space Feedback Case,' Systems and Control Letters, Vol. 25, 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, pp. 1543-1547, 1998
  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, 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, Philadelphia, 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 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 Control Conference, pp. 735-739, 2000 https://doi.org/10.1109/ACC.2000.876594
  12. Kose, J. 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. Leith, D. J. and Le ithe ad, W. E., 'Survey of Gain-scheduling Analysis and Design,' Int. J. of Control, Vol. 73, No. 11, pp. 1001-1025, 2000 https://doi.org/10.1080/002071700411304