Proportional-integral controllers for minimum-phase nonaffine-in-control systems
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Teo-2010-Proportional-integral controllers for minimum-phase nonaffine-in-control systems.pdf
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Author(s) • •
Teo, Justin
How, Jonathan P.
Lavretsky, Eugene
Date Issued
March 2010
Journal
IEEE transactions on automatic control
Publisher
Institute of Electrical and Electronics Engineers
Citation
Teo, J., J.P. How, and E. Lavretsky. “Proportional-Integral Controllers for Minimum-Phase Nonaffine-in-Control Systems.” Automatic Control, IEEE Transactions On 55.6 (2010) : 1477-1483. Copyright © 2010, IEEE
Version
Final published version
Abstract
We show that stabilizing tracking proportional-integral (PI)
controllers can be constructed for minimum-phase nonaffine-in-control
systems. The constructed PI controller is an equivalent realization of
an approximate dynamic inversion controller. This equivalence holds
only for the time response when applied to the unperturbed system.
Even when restricted to unperturbed minimum-phase linear time invariant
systems, their closed loop robustness properties differ. This
shows that in general, properties that do not define the equivalence relation
for systems/controllers are not preserved under such equivalence
transformations.
MIT Department
Massachusetts Institute of Technology. Aerospace Controls Laboratory
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
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DOI of Published Version
https://doi.org/10.1109/TAC.2010.2045693