National Instruments NI MATRIX Xmath Robust Control Module Computer Accessories User Manual


 
Chapter 3 System Evaluation
MATRIXx Xmath Robust Control Module 3-6 ni.com
Figure 3-2. Singular Values of H(jω) as a Function of ω
Note sv
is returned in dBs. Check that sigma is within 0.01 (the default value of tol) of
10**(max(sv,{channels})/20).
[sigma,10^(max(sv,{channels})/20)]
ans (a row vector) = 5.07322 4.98731
The linfnorm( ) function also can be used on discrete-time systems.
Consider a state-space system with a sample rate of 10 Hz:
SysD=system([0.5,0.5;0.8,0.5],[0.8,0.5]',
[0,1],0,{dt=0.1})
[sigma,omega]=linfnorm(SysD)
sigma (a scalar) = 5.99267
omega (a scalar) = 0