Simulink Control Design™ - MathWorks

Weighted Gain Goal

Purpose

Frequency-weighted gain limit for tuning with Control System Tuner.

Description

Weighted Gain Goal limits the gain of the frequency-weighted transfer function

WL(s)H(s)WR(s), where H(s) is the transfer function between inputs and outputs you

specify. WL(s) and WR(s) are weighting functions that you can use to emphasize

particular frequency bands. Weighted Gain Goal constrains the peak gain of

WL(s)H(s)WR(s) to values less than 1. If H(s) is a MIMO transfer function, Weighted Gain

Goal constrains the largest singular value of H(s).

By default, Weighted Gain Goal constrains a closed-loop gain. To constrain a gain

computed with one or more loops open, specify loop-opening locations in the I/O

Transfer Selection section of the dialog box.

Creation

In the Tuning tab of Control System Tuner, select New Goal > Frequency-weighted

gain limit to create a Weighted Gain Goal.

Command-Line Equivalent

When tuning control systems at the command line, use TuningGoal.WeightedGain to

specify a weighted gain goal.

I/O Transfer Selection

Use this section of the dialog box to specify the inputs and outputs of the transfer

function that the tuning goal constrains. Also specify any locations at which to open loops

for evaluating the tuning goal.

• Specify input signals

Select one or more signal locations in your model as inputs to the transfer function

that the tuning goal constrains. To constrain a SISO response, select a single-valued

input signal. For example, to constrain the gain from a location named 'u' to a

10 Control System Tuning