DOI QR코드

DOI QR Code

4차 시스템의 최대오버슈트에 관한 유의 성질

Some Remarks on the Maximum Overshoot of a Fourth-order System

  • 투고 : 2016.07.16
  • 심사 : 2016.10.17
  • 발행 : 2016.11.01

초록

Consider a linear fourth-order system with no zero that is represented in terms of four specific parameters: two damping ratios and two natural frequencies. We investigate several interesting questions about the maximum overshoot of the system with respect to the four-tuple parameters. Some remarkable results are presented.

키워드

참고문헌

  1. S. Jayasuriya and J. Song, "On the synthesis of compensators for non-overshooting step response," Proc. of American Control Conf., pp. 683-684, Chicago, USA, June 1992.
  2. S. Darbha, "On the synthesis of controllers for a continuous-time LTI systems that achieve a nonnegative impulse response," Automatica, vol. 39, pp. 159-165, 2003. https://doi.org/10.1016/S0005-1098(02)00202-9
  3. N. Mohsenizadeh, S. Darbha, and S. P. Bhattacharyya, "Synthesis of PID controllers with guaranteed nonovershooting transient response," Proc. of the 50th IEEE Conf. on Decision and Control and European Control Conf., Orlando, USA, pp. 447-452, December 2011.
  4. S. Lin and C. Fang, "Non-overshooting and monotone non-decreasing step responses of a third-order SISO linear system," IEEE Trans. Automat. Contr., vol.42, no.9, pp. 1299-1303, 1997. https://doi.org/10.1109/9.623097
  5. S. Adhikari, "Damping Models for structural Vibration," Ph.D. Dissertation, Cambridge University, Trinity College, Cambridge, 2000.
  6. A. Bilosova, Modal Testing, Technical University of Ostrava, Czech Republic, 2011.