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Gradient Projection Anti-windup Scheme on Constrained Planar LTI Systems

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Show simple item record Teo, Justin How, Jonathan P. 2010-03-15T20:16:57Z 2010-03-15T20:16:57Z 2010-03-15T20:16:57Z
dc.description.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 report 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. We illustrate the qualitative weaknesses of some results in establishing true advantages of anti-windup methods, and propose a new paradigm to address the anti-windup problem, where results relative to the uncompensated system are sought. en
dc.description.sponsorship DSO National Laboratories, Singapore and AFOSR grant FA9550-08-1-0086 en
dc.language.iso en_US en
dc.relation.ispartofseries ;ACL10-01
dc.subject gradient projection anti-windup en
dc.subject constrained planar LTI systems en
dc.subject projected dynamical systems en
dc.subject equilibria en
dc.subject region of attraction en
dc.title Gradient Projection Anti-windup Scheme on Constrained Planar LTI Systems en
dc.type Technical Report en

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