Simulink Control Design™ - MathWorks

(Tuis.) #1

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.


Options


Specify additional characteristics of the conic sector goal using this section of the dialog
box.



  • Conic Sector Matrix


Enter the sector geometry Q, specified as:


  • A matrix, for constant sector geometry. Q is a symmetric square matrix that is ny
    on a side, where ny is the number of output signals you specify for the goal. The
    matrix Q must be indefinite to describe a well-defined conic sector. An indefinite
    matrix has both positive and negative eigenvalues. In particular, Q must have as
    many negative eigenvalues as there are input signals specified for the tuning goal
    (the size of the vector input signal u(t)).

  • An LTI model, for frequency-dependent sector geometry. Q satisfies Q(s)’ = Q(–s). In
    other words, Q(s) evaluates to a Hermitian matrix at each frequency.


For more information, see “About Sector Bounds and Sector Indices” (Control System
Toolbox).


  • Regularization


Regularization parameter, specified as a real nonnegative scalar value. Regularization
keeps the evaluation of the tuning goal numerically tractable when other tuning goals
tend to make the sector bound ill-conditioned at some frequencies. When this
condition occurs, set Regularization to a small (but not negligible) fraction of the
typical norm of the feedthrough term in H. For example, if you anticipate the norm of
the feedthrough term of H to be of order 1 during tuning, try setting Regularization
to 0.001.

For more information about the conditions that require regularization, see the
Regularization property of TuningGoal.ConicSector.

Conic Sector Goal
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