Gain/phase margin design with first order controllers Conference Paper uri icon

abstract

  • The problem of determining all first order controllers (C(s) = x 1s+x2/s+x3) that stabilize a fixed plant P 0(s) has been recently solved in [6]. In the present paper we extend this solution to the problems of simultaneously stabilizing the continuum of plants a) KP0(s) with K lying in a prescribed interval and b) e jP0(s) with lying in a known interval. Our solution answers the question of when prescribed gain and phase margins can be attained, for the given plant, with first order controllers and when possible, gives the complete set attaining specifications. It is shown how such sets can then be used to obtain prescribed target closed loop transfer functions within specified tolerances. Examples are given for illustration.

published proceedings

  • PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6

author list (cited authors)

  • Tantaris, R. N., Keel, L. H., & Bhattacharyya, S. P.

complete list of authors

  • Tantaris, RN||Keel, LH||Bhattacharyya, SP

publication date

  • November 2003