Saadaoui, K.Özgüler, A. Bülent2016-02-082016-02-082007-06http://hdl.handle.net/11693/26925Date of Conference: 27-29 June 2007Conference name: 2007 Mediterranean Conference on Control & AutomationIn this paper we give an algorithm that determines the set of all stabilizing proportional-integral-derivative (PID) controllers that places the poles of the closed loop system in a desired stability region S. The algorithm is applicable to linear, time invariant, single-input single-output plants. The solution is based on a generalization of the Hermite-Biehler theorem applicable to polynomials with complex coefficients and the the application of a stabilizing gain algorithm to three auxiliary plants. ©2007 IEEE.EnglishChlorine compoundsClosed loop control systemsClosed loop systemsIndustrial engineeringSystem stabilityThree term control systemsTwo term control systemsComplex coefficientsControl and automationHermite-Biehler theoremPID controllersProportional-integral-derivative controllersSingle-input single-output plantsStability regionsTime invariantsProportional control systemsConference Paper10.1109/MED.2007.4433823