Region of attraction comparison for gradient projection anti-windup compensated systems
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How_Region of attraction.pdf
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328.49 KB
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Author(s)
Teo, Justin
How, Jonathan P.
Date Issued
December 2011
Journal
Proceedings of the IEEE Conference on Decision and Control and European Control Conference
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Teo, Justin, and Jonathan P. How. “Region of attraction comparison for gradient projection anti-windup compensated systems.” In IEEE Conference on Decision and Control and European Control Conference, 5509-5515. Institute of Electrical and Electronics Engineers, 2011.
Version
Author's final manuscript
Abstract
The gradient projection anti-windup (GPAW) scheme was recently proposed for saturated multi-input-multi-output (MIMO) nonlinear systems driven by MIMO nonlinear controllers, a topic recognized as an open problem in a recent survey paper. Thus far, stability results for GPAW compensated systems are restricted to the simple case of a saturated first order linear time invariant (LTI) plant driven by a first order LTI controller. Here, we present a region of attraction (ROA) comparison result for general GPAW compensated regulatory systems. The ROA comparison result is demonstrated on a simple planar nonlinear system, which also highlights the limitations of existing state-of-the-art anti-windup results.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
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Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1109/CDC.2011.6161160
