Transactions on Control, Automation and Systems Engineering

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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On Nonovershooting or Monotone Nondecreasing Step Response of Second-Order Systems

  • Kwon, Byung-Moon (Guidance and Control Department, Korea Aerospace Research Institute) ;
  • Lee, Myung-Eui (Department of Information and Communication Engineering, Korea University of Technology and Education) ;
  • Kwon, Oh-Kyu (School of Electrical and Computer Engineering, Inha University)
  • Published : 2002.12.01
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Abstract

This paper has shown that the impulse and the unit step responses of 2nd-order systems can be computed by an analytic method. Three different 2nd-order systems are investigated: the prototype system, the system with one LHP(left half plane) real zero and the system with one RHP(right half plane) real zero. It has also shown that the effects of the LHP or the RHP zero are very serious when the zero is getting closer to the origin on the complex plane. Based on these analytic results, this paper has presented two sufficient and necessary conditions for 2nd-order linear SISO(single-input/single-output) stable systems to have the nonovershooting and the monotone nondecreasing step response, respectively. The latter condition can be extended to the sufficient conditions for the monotone nondecreasing step response of high-order systems.

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References

  1. Proc. 12th IFAC World Congr. v.3 Output overshoot and pole-zero configuration H. Kobayashi
  2. Automatica v.29 no.6 Influence of zero locations on the number of step-response extrema M. El-Khoury;O. D. Crisalle;R. Longchamp https://doi.org/10.1016/0005-1098(93)90023-M
  3. Trans. ASME J. of Dynamic Syst., Meas., Control v.113 A class of transfer functions with non-negative impulse response S. Jayasuriya;M. A. Franchek https://doi.org/10.1115/1.2896381
  4. IEEE Trans. on Automat. Contr. v.40 no.8 Some conditions on zeros to avoid stepresponse extrema A. Rachid https://doi.org/10.1109/9.402253
  5. Proc. American Contr. Conference Some conditions for monotone nondecreasing step response with the fastest rise time B. M. Kwon;H. S. Ryu;O. K. Kwon
  6. Ph.D Thesis, Inha Univ. Zeros Property Analyses with Applications to Control System Design B. M. Kwon
  7. Automatic Control Systems B. C. Kuo
  8. Modern Control Engineering K. Ogata
  9. IEEE Trans. on Automat. Contr. v.39 no.3 On undershoot in SISO systems B. A. Leon de la Barra https://doi.org/10.1109/9.280763
  10. IEEE Trans. on Autumat. Contr. v.31 no.5 On undershoot and nonminimum phase zeros M. Vidyasagar
  11. ICASE, Trans. on Contr., Automat, and Sys. Engr. v.2 no.4 Transient response analysis and compensation of the second order system with one RHP real zero B. M. Kwon;H. S. Ryu;O. K. Kwon