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
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.815025
