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PI stabilization of first-order systems with time delay
Authors:Guillermo J.    Aniruddha   S. P.   
Affiliation:

a IBM, 11400 Burnet Road, Austin, TX 78758, USA

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.
Keywords:PI controllers   Stabilization   Time delay   Closed-loop control   First-order systems
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