Path: Common/Control
% Compute the multivariable frequency response of the system.
.
x = ax + bu
y = cx + du
or
G(s) = c*inv(sI-a)*b + d
y(s) = G(s)*u(s)
For example, for 3 outputs and 2 inputs g is of the form
w(1) w(2) ...
output 1 [ input 1 input 2 | input 1 input 2 |... ]
output 2 [ input 1 input 2 | input 1 input 2 |... ]
output 3 [ input 1 input 2 | input 1 input 2 |... ]
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Form:
[g,nu,w] = GSS(a,b,c,d,iu,iy,w)
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Inputs
------
a Plant matrix
b Input matrix
c Measurement matrix
d Input feedthrough matrix
iu Inputs ( = 0, or leave out for all)
iy Outputs ( = 0, or leave out for all)
w Frequency vector
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Outputs
-------
g Frequency response matrix
nu Number of inputs
w Frequency vector
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References: Laub, A., "Efficient Multivariable Frequency Response
Computations," IEEE Transactions on Automatic Control,
Vol. AC-26, No. 2, April 1981, pp. 407-408.
Maciejowski, J. M., Multivariable Feedback Design,
Addison-Wesley, Reading, MA, 1989, pp. 368-370.
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Common: Control/S2Damp Common: Control/SizeABCD Common: Control/TrnsZero Common: Control/WPZ Common: Control/WReson Common: Graphics/LogLimit Math: Linear/ColCompR Math: Linear/IsZero Math: Linear/RowCompU
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