대한전기학회논문지:시스템및제어부문D (The Transactions of the Korean Institute of Electrical Engineers D)

대한전기학회 (The Korean Institute of Electrical Engineers)
권호 표지

모델 불확실성을 갖는 이차 오실레이터에 대한 근사화된 최대 시간 교란 신호 설계

Near Time Maximum Disturbance Design for Second Order Oscillator with Model Uncertainty

  • 유관호 (성균관대학교 정보통신공학부)
  • 발행 : 2003.04.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we propose a disturbance design method to test a system's stability. It is shown that the time maximum disturbance is represented in bang-bang and state feedback form. To maximize the time severity index, the value of disturbance is determined by the associated switch curve. The original switch curve is vulnerable to model uncertainties and takes much calculation time. We propose an improved method to approximate the original switch curve. This reduces the computational time and implements sufficiently to test the stable system. Simulation results show how the approximate switch curve can be used to stress a system by driving it to oscillation along the maximum limit cycle.

키워드

참고문헌

  1. Luo, J.C. and Lee, E.B., 'A Closed Analytic Form for the Disturbance switch Curve of Some Second Order Linear Systems,' IEEE Trans. on Automat. Contr., vol. 45 pp. 102-105, 2000 https://doi.org/10.1109/9.827363
  2. You, K.H. and Lee, E.B., 'Time Maximum Disturbance Design for Linear Stable Systems: A Model Predictive Scheme,' IEEE Trans. Automat. Contr., vol. 46, pp. 1327-1332, 2001 https://doi.org/10.1109/9.940945
  3. Pao, L.Y. and Franklin, G.F., 'The Robustness of a Proximate Time-Optimal Controller,' IEEE Trans. Automat. Contr., vol. 39, pp. 1963-1966, 1994 https://doi.org/10.1109/9.317136
  4. Kogan, M., 'Solution to the Inverse Problem of Minimax Control and Worst Case Disturbance for Linear Continuous-Time Systems,' IEEE Trans. Automat. Contr., vol. 43, pp. 670-674, 1998 https://doi.org/10.1109/9.668832
  5. Shen, S.K., Lee, T.T., and Wang, B.C., 'Frequency domain design method for uncertain systems under some unknown but bounded disturbances,' IEE Proc. Control Theory Appl., vol. 144, pp. 225-232, 1997 https://doi.org/10.1049/ip-cta:19971001
  6. Newman, W.S., 'Robust Near Time-Optimal Control,' IEEE Trans. Automat. Contr., vol. 35, pp. 841-844, 1990 https://doi.org/10.1109/9.57026