Title :
Stabilization of time delay systems
Author :
Silva, Guillermo J. ; Datta, Aniruddha ; Bhattacharyya, S.P.
Author_Institution :
Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA
Abstract :
We first consider the problem of stabilizing a first-order plant with dead time using a constant gain controller. Using a version of the Hermite-Biehler theorem applicable to quasipolynomials, a complete analytical characterization of all stabilizing gain values is provided as a closed form solution. A similar approach is then used to tackle the problem of stabilizing a first-order plant with time delay using a PI controller, and once again the complete stabilizing set is determined
Keywords :
delay systems; polynomials; stability; two-term control; Hermite-Biehler theorem; PI controller; complete stabilizing set; constant gain controller; dead time; first-order plant; quasipolynomials; stabilizing gain values; time delay systems; Closed-form solution; Control systems; Delay effects; Equations; Mathematical model; Polynomials; Process control; Robust stability; Stability analysis; Three-term control;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.876643
