Control system design using low order controllers: Constant gain, PI and PID Conference Paper uri icon

abstract

  • This paper considers the problem of designing low order controllers for linear time-invariant plants. Specific controller structures considered are the constant gain, the proportional-integral (PI) and the proportional-integral-derivative (PID). Utilizing the characterization of all stabilizing constant gain, PI and PID controllers obtained in [1] and the companion paper, a computer-aided search over the space of stabilizing controller parameter values is conducted to determine fixed order controllers that satisfy given design objectives. Both frequency domain performance measures such as the Hor H2norms, as well as time-domain performance measures such as settling time and overshoot to a unit step are considered. Simple examples used in this paper show that the earlier results on stabilization using a fixed order controller can form the basis for carrying out optimal designs while keeping the controller order fixed. The results here should have a widespread impact on industrial applications of control theory.

name of conference

  • Proceedings of the 1997 American Control Conference (Cat. No.97CH36041)

published proceedings

  • PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6

author list (cited authors)

  • Ho, M. T., Datta, A., & Bhattacharyya, S. P.

complete list of authors

  • Ho, MT||Datta, A||Bhattacharyya, SP

publication date

  • January 1997