Design of First Order Controllers with Time Domain Specifications(ICCAS 2003)

  • Kim, Keun-Sik (School of Internet Information Engineering, Daecheon College) ;
  • Woo, Young-Tae (Dept. of Electronic Engineering, Chungbuk National University) ;
  • Kim, Young-Chol (School of Electrical and Computer Engineering, Chungbuk National University)
  • Published : 2003.10.22

Abstract

This paper considers the problem of determining a set of stabilizing first order controller gains, for a given linear time invariant plant, that meets or exceeds closed loop step response specifications. The method utilizes two recent results: For a given system, (1) finding a set of stabilizing first order controller 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 first order controller gains that meets stability as well as time domain performance requirements. The computations involved are the intersections of two dimensional sets described by linear and quadratic inequalities in the controller design space. It is illustrated by examples.

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