H2-optimal decoupling of previewed signals in the continuous-time domain

The synthesis of a feedforward unit for H2-optimal decoupling of previewed signals in continuous time-invariant linear systems is considered. The H2-optimal compensator herein presented consists of a finite impulse response system working in connection with a standard finite-dimensional dynamic unit. An explicit expression of the compensator transfer function matrix is derived through a simple procedure based on invariance properties of subspaces related to the autonomous Hamiltonian system.