We give a detailed discussion of the mixed sensitivity formulation pro
posed by Kwakernaak and explore the useful ideas behind it. We prove t
hat this two-block mixed sensitivity problem is closely related to a f
our-block problem, and therefore to some extent can attain a balanced
design among all transfer functions of a closed-loop system. We make s
ome interesting comparisons between this approach and the well-known l
oop shaping design of McFarlane and Glover. We also show that this mix
ed sensitivity approach is superior to others because it can provide u
s with extra flexibility in shaping the sensitivity functions and lead
to a controller of minimal order. (C) 1997 Elsevier Science Ltd.