In certain applications, such as the colocated control of flexible str
uctures, the plant is known to be positive real. Hence, closed-loop st
ability is unconditionally guaranteed as long as the controller is als
o positive real. One approach to designing positive real controllers i
s the LQG-based positive real synthesis technique of Lozano-Leal and J
oshi. The contribution of this paper is the extension of this positive
real synthesis technique to include an H(infinity)-norm constraint on
closed-loop performance.