A. Tchernychev et A. Sideris, A MULTIPLIER APPROACH FOR THE ROBUST DESIGN OF DISCRETE-TIME CONTROL-SYSTEMS WITH REAL COMPLEX UNCERTAINTIES/, Automatica (Oxford), 34(7), 1998, pp. 851-859
A novel approach for the design of robust controllers for discrete-tim
e uncertain systems using a multiplier approach is given. Our algorith
m is based on a k(m)/mu-synthesis type iteration involving a search fo
r suitable multipliers and solving scaled H-infinity optimization prob
lems. The latter problems involve only the original plant data and the
scalings are computed via standard spectral factorizations from the m
ultiplier. The design is performed entirely in the discrete-time domai
n and the results can be used for multiobjective control design (Tcher
nychev and Sideris, 1997). (C) 1998 Elsevier Science Ltd. All rights r
eserved.