Simulink Control Design™ - MathWorks

(Tuis.) #1
location named 'y', click Add signal to list and select 'u'. To constrain the
largest singular value of a MIMO response, select multiple signals or a vector-valued
signal.


  • Specify output signals


Select one or more signal locations in your model as outputs of the transfer function
that the tuning goal constrains. To constrain a SISO response, select a single-valued
output signal. For example, to constrain the gain from a location named 'u' to a
location named 'y', click Add signal to list and select 'y'. To constrain the
largest singular value of a MIMO response, select multiple signals or a vector-valued
signal.


  • Compute input/output gain with the following loops open


Select one or more signal locations in your model at which to open a feedback loop for
the purpose of evaluating this tuning goal. The tuning goal is evaluated against the
open-loop configuration created by opening feedback loops at the locations you
identify. For example, to evaluate the tuning goal with an opening at a location named
'x', click Add signal to list and select 'x'.

TipTo highlight any selected signal in the Simulink model, click. To remove a signal


from the input or output list, click. When you have selected multiple signals, you can


reorder them using and. For more information on how to specify signal locations
for a tuning goal, see “Specify Goals for Interactive Tuning” on page 10-39.


Weights


Use the Left weight WL and Right weight WR text boxes to specify the frequency-
weighting functions for the tuning goal. The tuning goal ensures that the gain H(s) from
the specified input to output satisfies the inequality:


||WL(s)H(s)WR(s)||∞ < 1.


WL provides the weighting for the output channels of H(s), and WR provides the
weighting for the input channels. You can specify scalar weights or frequency-dependent
weighting. To specify a frequency-dependent weighting, use a numeric LTI model whose


Weighted Gain Goal
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