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.
§ z(t)=|G(j w)|sin(wt+ÐG(j w))                        u(t)=sin wt
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• Let the sinusoidal input u(t) as shown below.  Then the steady-state response of the system can be written as
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•
•
• for some yi, i, i= 1,2,….,p, and furthermore,
• where ||•|| is the Euclidean norm.
G(s)