Simulink Control Design™ - MathWorks

lower and upper bounds on these implicitly constrained dynamics. If the optimization fails

to meet the default bounds, or if the default bounds conflict with other requirements, on

the Tuning tab, use Tuning Options to change the defaults.

For sector bounds, the R-index plays the same role as the peak gain does for gain

constraints (see “About Sector Bounds and Sector Indices” (Control System Toolbox)). The

condition

H−jωQHjω < 0

is satisfied at all frequencies if and only if the R-index is less than one. The plot that

Control System Tuner displays for Conic Sector Goal shows the R-index value as a

function of frequency (see sectorplot).

When you tune a control system, the software converts each tuning goal into a normalized

scalar value f(x), where x is the vector of free (tunable) parameters in the control system.

The software then adjusts the parameter values to minimize f(x) or to drive f(x) below 1 if

the tuning goal is a hard constraint.

For Conic Sector Goal, for a closed-loop transfer function H(s,x) from the specified

inputs to the specified outputs, f(x) is given by:

fx =

R

1+R/Rmax

, Rmax= 10^6.

R is the relative sector index (see getSectorIndex) of H(s,x), for the sector

represented by Q.

See Also

Related Examples

• “About Sector Bounds and Sector Indices” (Control System Toolbox)


• “Specify Goals for Interactive Tuning” on page 10-39


• “Manage Tuning Goals” on page 10-177


• “Visualize Tuning Goals” on page 10-187

10 Control System Tuning