An integrated design approach for the optimum design of a controlled s
tructure is presented. The control design method takes into considerat
ion both structured and unstructured uncertainties by improving a boun
d on the H(infinity) norm of the closed-loop system and satisfying a c
onstraint on the linear quadratic Gaussian performance index. The cont
roller is designed by solving three Riccati equations. The weight of t
he structure is specified as an objective function with constraints on
the structural frequencies, the closed-loop damping, and the performa
nce index. The numerical results are presented for a three-dimensional
truss structure to illustrate the application of the integrated appro
ach.