Fh. Hsiao et al., OPTIMAL D-STABLE CONTROL FOR DISCRETE MULTIPLE TIME-DELAY SYSTEMS WITH PARAMETRIC UNCERTAINTIES, Journal of the Franklin Institute, 333B(6), 1996, pp. 991-1000
Citations number
24
Categorie Soggetti
Mathematics,"Engineering, Mechanical","Engineering, Eletrical & Electronic","Robotics & Automatic Control
The robustly optimal D-stable problem is considered in this study for
discrete multiple time-delay systems with parametric uncertainties. A
discrete uncertain multiple time-delay system can be transformed into
another system with no delay by properly defining new state variables.
The problem of optimization of discrete-time systems with multiple ti
me delays is consequently reduced to a standard discrete linear quadra
tic regulator problem A robust criterion of D-stability is derived on
the basis of D-pole placement technique to show that the optimal contr
ol law not only minimizes the discrete linear quadratic performance in
dex but also simultaneously guarantees that all poles of the closed-lo
op system remain inside the specified disk D(alpha, r) in the presence
of parametric uncertainties. An example is finally provided for illus
trating our main results. Copyright (C) Published by Elsevier Science
Ltd