DocumentCode
27082
Title
Controller Design and the Gauss–Lucas Theorem
Author
Knap, M.J. ; Keel, L.H. ; Bhattacharyya, S.P.
Author_Institution
Dept. of Math., Tennessee State Univ., Nashville, TN, USA
Volume
58
Issue
11
fYear
2013
fDate
Nov. 2013
Firstpage
2940
Lastpage
2944
Abstract
In this technical note, 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 and Hurwitz stability. The results are used to derive new bounds on the stability margins and performance of control systems.
Keywords
control system synthesis; feedback; performance index; stability; Hurwitz stability; Schur stability; classical Gauss-Lucas theorem; control system performance; controller design; feedback systems; necessary conditions; stability margins; stabilizing controllers; Approximation methods; Closed loop systems; Educational institutions; Polynomials; Stability criteria; Gauss–Lucas theorem; Hurwitz stability; Schur stability;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2013.2258795
Filename
6504721
Link To Document