Analysis of Slow Convergence Regions in Adaptive Systems
Name
nouwens_analysisslowconv_acc_2016_dSpace.pdf
Size
851.13 KB
Format
Adobe PDF
Checksum (MD5)
a38949a8b2d587c97d636c8e831f0d88
Author(s) • •
Nouwens, Oscar
Annaswamy, Anuradha
Lavretsky, Eugene
Date Issued
October 7, 2015
Series/Report no.
IEEE ACC;2016
Abstract
We examine convergence properties of errors in a
class of adaptive systems that corresponds to adaptive control of
linear time-invariant plants with state variables accessible. We
demonstrate the existence of a sticking region in the error space
where the state errors move with a finite velocity independent
of their magnitude. We show that these properties are also
exhibited by adaptive systems with closed-loop reference models
which have been demonstrated to exhibit improved transient
performance as well as those that include an integral control in
the inner-loop. Simulation and numerical studies are included
to illustrate the size of this sticking region and its dependence
on various system parameters
Subjects
Adaptive Control
Slow convergence
Transient performance
Terms of Use
Attribution-NonCommercial-NoDerivs 3.0 United States
Persistent DSpace Link