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Proportional-integral controllers for minimum-phase nonaffine-in-control systems

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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
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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
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
http://hdl.handle.net/1721.1/62021
DOI of Published Version
https://doi.org/10.1109/TAC.2010.2045693
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