b Department of Electrical Engineering, Texas A&M University, 3128 TAMU, College Station, TX 77843-3128, USA
Abstract:
This paper considers the problem of stabilizing a first-order plant with dead time using a PI controller. Using a version of the Hermite–Biehler Theorem applicable to quasipolynomials, a complete and constructive characterization of all stabilizing PI gain values is obtained.