§Estimating the H¥ norm experimentally: the maximum magnitude of
the steady-state response to all possible unit amplitude sinusoidal input
signals.
§ z(t)=|G(j w)|sin(wt+ÐG(j w)) u(t)=sin wt
•
• Let the
sinusoidal input u(t) as shown below.
Then the steady-state response of the system can be
written as
•
•
•
• for some yi, i, i=
1,2,….,p, and furthermore,
• where ||•|| is the Euclidean norm.