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h2norm 255
h2norm
Syntax
out = h2norm(sys)
Parameter List
Inputs: sys Continuous time Dynamic System
Outputs: out H
2
norm of the input system
Description
The H
2
norm of a stable, strictly proper system is calculated. This is given by
out = trace(CXC
),
where X is the controllability grammian, solving the Lyapunov equation,
AX + XA
+BB
=0.
Example
# Set up a simple closed loop problem.
# This example is also studied in the
# hinfsyn on-line help.
plant = makepoly([0.1,-0.1,1],"s")*makepoly([1,1],"s")...
/(makepoly([1,0.1,.1],"s")*(makepoly([0.2,1],"s")))
# Create weights