DocumentCode
1159026
Title
Loss of structurally stable regulation implies loss of stability
Author
Maithripala, D.H.S. ; Berg, Jordan M. ; Dayawansa, W.P.
Author_Institution
Dept. of Mech. Eng., Texas Tech Univ., Lubbock, TX, USA
Volume
48
Issue
3
fYear
2003
fDate
3/1/2003 12:00:00 AM
Firstpage
483
Lastpage
486
Abstract
We refer to systems violating the conditions for structurally stable regulation as critical. At least one of the following must fail at a critical system: asymptotic rejection of the exogenous system, stabilization of the closed-loop system, or structural stability. This has not been explicitly addressed. We show that any structurally stable regulator is necessarily destabilizing when applied to a critical system, that destabilization is linked to structural stability, and we characterize the resulting unstable poles.
Keywords
asymptotic stability; closed loop systems; eigenvalues and eigenfunctions; robust control; asymptotic rejection; closed-loop system; critical system; destabilization; eigenvalues; exogenous system; robustness; stabilization; stable regulation; structural stability; Control systems; History; Linear systems; Open loop systems; Output feedback; Regulators; Robust stability; Robustness; Structural engineering; Uncertainty;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2003.809162
Filename
1184904
Link To Document