Journal of the Korean Society for Precision Engineering (한국정밀공학회지)

Korean Society for Precision Engineering (한국정밀공학회)
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Gain Scheduled State Feedback and Disturbance Feedforward Control for Systems with Bounded Control Input - Theory

제어입력 크기제한을 갖는 시스템에서 이득 스케줄 상태되먹임-외란앞먹임 제어 - 이론

  • 강민식 (경원대학교 기계자동차공학과)
  • Published : 2007.11.01
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Abstract

A new optimal state feedback and disturbance feedforward control design in the sense of minimizing $L_2$-gain from disturbance to control output is proposed for disturbance attenuation of systems with bounded control input and measurable disturbance. The controller is derived in the framework of linear matrix inequality(LMI) optimization. A gain scheduled state feedback and disturbance feedforward control design is also suggested to improve disturbance attenuation performance. The control gains are scheduled according to the proximity to the origin of the state of the plant and the magnitude of disturbance. This procedure yields a stable linear time varying control structure that allows higher gain and hence higher performance controller as the state and the disturbance 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, Issue 5, pp. 375-380, 1995 https://doi.org/10.1002/rnc.4590050502
  2. Stoorvogel, A. A. and Saberi, A., 'The Challenge of Constraint,' Int. J. of Robust and Nonlinear Control, Vol. 14, Issues 13-14, pp. 1085, 2004 https://doi.org/10.1002/rnc.949
  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, Issue 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, Issue 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, 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, Vol. 1, pp. 742-746, 1994
  8. Boyd, S., Ghaoui, L. E., Feron, E. and Balakrishnan, V., 'Linear Matrix Inequalities in System and Control Theory,' SIAM Books, pp. 1-35, 1994
  9. Srivastava, S. and Jabbari, F., 'Scheduled Controllers for Disturbance Attenuation of Systems with Bounded Inputs,' Proc. of the American Control Conference, Vol. 2, pp. 735-739, 2000
  10. 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
  11. Kang, M. S., 'Gain Scheduled Control for Disturbance Attenuation of Systems with Bounded Control Input - Theory,' J. of KSPE, Vol. 23, No.6, pp. 81-87, 2006
  12. Kang, M. S., 'Gain Scheduled Control for Disturbance Attenuation of Systems with Bounded Control Input - Application to Stabilization Control,' J. of KSPE, Vol. 23, No.6, pp. 88-95, 2006
  13. Leith, D. J. and Leithead, 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