Corrections to "Geometric Properties of Gradient Projection Anti-windup Compensated Systems"
Name
TeoMITTR10a.pdf
Size
256.31 KB
Format
Adobe PDF
Checksum (MD5)
ec1ea5e53b0a0e2e1db4eef18d8f8988
Author(s)
Teo, Justin
How, Jonathan P.
Date Issued
June 29, 2010
Series/Report no.
;ACL10-02
Abstract
In a conference paper titled "Geometric Properties of Gradient Projection Anti-windup Compensated Systems," two main results were presented. The first is the controller state-output consistency property of gradient projection anti-windup (GPAW) compensated controllers. The second is a geometric bounding condition relating the vector fields of the uncompensated and GPAW compensated closed-loop systems with respect to a star domain. While the controller state-output consistency property stands without modifications, the proof of the geometric bounding condition depends on two lemmas, the proofs of which were found to be faulty. In this report, we present a new proof of the geometric bounding condition using concepts from convex analysis, together with minor miscellaneous corrections.
Subjects
gradient projection anti-windup
geometric properties
corrections
combinatorial optimization
quadratic program
convex analysis
projection on polyhedral cone
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