DocumentCode
763967
Title
Undershoot and settling time tradeoffs for nonminimum phase systems
Author
Lau, K. ; Middleton, R.H. ; Braslavsky, J.H.
Author_Institution
Centre for Integrated Dynarnics & Control, Univ. of Newcastle, Callaghan, NSW, Australia
Volume
48
Issue
8
fYear
2003
Firstpage
1389
Lastpage
1393
Abstract
It has been known for some time that real nonminimum phase zeros imply undershoot in the step response of linear systems. Bounds on such undershoot depend on the settling time demanded and the zero locations. In this note, we review such constraints for linear time invariant systems and provide new stronger bounds that consider simultaneously the effect of two real nonminimum phase zeros. Using the concept of zero dynamics, we extend these results to a class of nonlinear systems.
Keywords
linear systems; nonlinear control systems; poles and zeros; step response; linear systems; nonlinear systems; nonminimum phase systems; real nonminimum phase zeros; settling time; step response; time invariant systems; undershoot; zero dynamics; zero locations; Automatic control; Control system synthesis; Control systems; Costs; Gold; Nonlinear control systems; Notice of Violation; Optimal control; Performance analysis; Robust control;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2003.815025
Filename
1220753
Link To Document