Title :
Controller design and Gauss-Lucas theorem
Author :
Knap, M.J. ; Keel, L.H. ; Bhattacharyya, S.P.
Author_Institution :
Tennessee State Univ., TN, USA
Abstract :
In this paper, we demonstrate how the classical Gauss-Lucas theorem can aid in the determination of stabilizing controllers for feedback systems. Moreover, we show how to apply the Gauss-Lucas theorem in the construction of new necessary conditions for Schur stability; the application is not limited to Schur stability, however.
Keywords :
control system synthesis; controllers; feedback; polynomials; stability; Gauss-Lucas theorem; Schur stability; controller design; feedback systems; necessary conditions; stabilizing controller determination; Approximation methods; Control design; Nickel; Polynomials; Stability criteria;
Conference_Titel :
American Control Conference (ACC), 2012
Conference_Location :
Montreal, QC
Print_ISBN :
978-1-4577-1095-7
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2012.6315591
