Analysis of gradient projection anti-windup scheme
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Author(s)
Teo, Justin
How, Jonathan P.
Date Issued
July 2010
Journal
Proceedings of the American Control Conference, 2010
Publisher
Institute of Electrical and Electronics Engineers
Citation
Teo, J., and J.P. How. “Analysis of gradient projection anti-windup scheme.” American Control Conference (ACC), 2010. 2010. 5966-5972. ©2010 IEEE.
Version
Final published version
Abstract
The gradient projection anti-windup (GPAW) scheme was recently proposed as an anti-windup method for nonlinear multi-input-multi-output systems/controllers, the solution of which was recognized as a largely open problem in a recent survey paper. This paper analyzes the properties of the GPAW scheme applied to an input constrained first order linear time invariant (LTI) system driven by a first order LTI controller, where the objective is to regulate the system state about the origin. We show that the GPAW compensated system is in fact a projected dynamical system (PDS), and use results in the PDS literature to assert existence and uniqueness of its solutions. The main result is that the GPAW scheme can only maintain/enlarge the exact region of attraction of the uncompensated system.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
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