Undershoot and settling time tradeoffs for nonminimum phase systems

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...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2003-08, Vol.48 (8), p.1389-1393
Main Authors: Lau, K., Middleton, R.H., Braslavsky, J.H.
Format: Article
Language:English
Subjects:
Automatic control
Control system synthesis
Control systems
Costs
Dynamical systems
Gold
Linear systems
Nonlinear control systems
Nonlinear dynamics
Nonminimum phase systems
Optimal control
Performance analysis
Robust control
Settling
Step response
Time invariant systems
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Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2003.815025