Path-following for nonminimum phase systems removes performance limitations
- 14 February 2005
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 50 (2) , 234-239
- https://doi.org/10.1109/tac.2004.841924
Abstract
We highlight an essential difference between path-following and reference-tracking for nonminimum phase systems. It is well known that in the reference-tracking, for nonminimum phase systems, there exists a fundamental performance limitation in terms of a lower bound on the L/sub 2/-norm of the tracking error, even when the control effort is free. We show that this is not the case for the less stringent path-following problem, where the control objective is to force the output to follow a geometric path without a timing law assigned to it. Furthermore, the same is true even when an additional desired speed assignment is imposed.Keywords
This publication has 20 references indexed in Scilit:
- Best tracking and regulation performance under control energy constraintIEEE Transactions on Automatic Control, 2003
- Fundamental performance limitations in tracking sinusoidal signalsIEEE Transactions on Automatic Control, 2003
- Tracking and maneuver regulation control for nonlinear nonminimum phase systems: application to flight controlIEEE Transactions on Control Systems Technology, 2002
- Cheap control performance of a class of nonright-invertible nonlinear systemsIEEE Transactions on Automatic Control, 2002
- Cheap control tracking performance for non-right-invertible systemsInternational Journal of Robust and Nonlinear Control, 2002
- Feedback limitations in nonlinear systems: from Bode integrals to cheap controlIEEE Transactions on Automatic Control, 1999
- Perfect control of the robust servomechanism problemIEEE Transactions on Automatic Control, 1987
- The optimal linear-quadratic time-invariant regulator with cheap controlIEEE Transactions on Automatic Control, 1979
- The robust control of a servomechanism problem for linear time-invariant multivariable systemsIEEE Transactions on Automatic Control, 1976
- The maximally achievable accuracy of linear optimal regulators and linear optimal filtersIEEE Transactions on Automatic Control, 1972