Transient Response Analysis and Compensation of the Second Order System with OIne PHP Real Zero

  • Byung-Moon kwon (School of Electrical and Computer Engineering, Inha University) ;
  • Ryu, Hee-Seb (School of Electrical and Computer Engineering, Inha University) ;
  • Kwon, Oh-Jyu (School of Electrical and Computer Engineering, Inha University)
  • Published : 2000.12.01

Abstract

In this paper, the magnitude of undershoot and overshoot in a prototype second order system with one positive real zero is computed by the analytic methods. Also, it will be shown that the peak times of the undershoot and overshoot can be calculated using the impulse and step response of the second order system. Three different cases are investigated: underdamped(p<ζ<1), critically damped(ζ=1) and overdamped(ζ>1) cases. We deal with the undamped(ζ=0) case as a special case of the underdamped. And a compensation method is proposed to reduce undershoots of the nonmininmun phase system using feedforward compensator.

Keywords

References

  1. Feedback Control of Dynamic Systems (2nd ed.) G. F. Franklin;J. D. Powell;A. Emami-Naeini
  2. Int. J. of Control v.40 no.5 Limitation of non-minimum-phase feedback systems I. Horowitz;Y Liao
  3. IEEE Trans. on Automat. Contr. v.39 no.3 On undershoot in SISO systems B. A. Leon de la Barra
  4. Automatica v.27 no.2 Trade-offs in linear control system design R. H. Middleton
  5. Automatica v.29 no.2 Performance limitations of non-minimum phase systems in the servomechanism problem L. Qiu;E. J. Davison
  6. IEEE Trans. on Automat. Contr. v.26 no.2 Undershooting phenomenon and its control in linear multivariable servomechanisms T. Mita;H. Yoshida
  7. Int. J. of Control v.44 no.2 Design of non-undershooting multivariable servo systems using dynamic compensators S. Hara;N. Kobayashi;T. Nakamizo
  8. Int. J. of Control v.27 no.3 Optimum synthesis of non-minimum phase feedback systems with plant uncertainty I. Horowitz;M. Sidi
  9. IEEE Trans. on Automat. Contr. v.31 no.5 On undershoot and nonminimum phase zeros M. Vidyasagar
  10. Automatic Control Systems (7th ed.) B. C. Kuo
  11. Modern Control Engineering (3rd ed.) K. Ogata
  12. Modern Control Engineering (3rd ed.) K. Ogata