Design of PI, PD and PID Controllers with Time Response Specifications

시간응답 설계규격을 만족하는 PI, PD, PID제어기 설계

  • 김근식 (대천대학 컴퓨터전자전계열) ;
  • 조태신 (충북대학교 전자공학과) ;
  • 김영철 (충북대학교 전기전자컴퓨터공학부)
  • Published : 2003.04.01


This paper considers the problem of determining a set of PI, PD and PID controller gains, for a given linear time invariant plant, that meets or exceeds the closed loop step response specifications. The proposed method utilizes two recent results: for a given system, (1) finding a set of stabilizing PI, PD and PID gains and (2) the relationship between time response (overshoot and speed) and the coefficients of the characteristic polynomial. The method allows us to extract a subset of PI, PD and PID gains that meets stability as well as time domain performance requirements. The intersections of two dimensional sets described by linear and quadratic inequalities in the controller design space are need to be Identified through numerical computation. The procedure is illustrated by examples.


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