Estimating
the H¥ Norm

§Estimating the *H*¥ norm experimentally: the maximum magnitude of
the steady-state response to all possible unit amplitude sinusoidal input
signals.

•

Let the
sinusoidal input u(t) as shown below.
Then the steady-state response of the system can be
written as

•

•

for some *y**i*, *i*, *i*=
1,2,….,*p*, and furthermore,

where ||•|| is the Euclidean norm.