Simulink Control Design™ - MathWorks

Minimize max

i

fix subject to max

j

gjx < 1, for xmin<x<xmax.

xmin and xmax are the minimum and maximum values of the free parameters of the control

system.

When you use both soft and hard tuning goals, the software approaches this optimization

problem by solving a sequence of unconstrained subproblems of the form:

min

x

maxαfx,gx.

The software adjusts the multiplier α so that the solution of the subproblems converges to

the solution of the original constrained optimization problem.

systune returns the slTuner interface with parameters tuned to the values that best

solve the minimization problem. systune also returns the best achieved values of fi(x)

and gj(x), as fSoft and gHard respectively.

For information about the functions fi(x) and gj(x) for each type of constraint, see the

reference pages for each TuningGoal requirement object.

systune uses the nonsmooth optimization algorithms described in [1],[2],[3],[4]

systune computes the H∞ norm using the algorithm of [5] and structure-preserving

eigensolvers from the SLICOT library. For information about the SLICOT library, see

http://slicot.org.

Alternative Functionality

Tune interactively using Control System Tuner.

References

[1] P. Apkarian and D. Noll, "Nonsmooth H-infinity Synthesis," IEEE Transactions on

Automatic Control, Vol. 51, Number 1, 2006, pp. 71–86.

[2] Apkarian, P. and D. Noll, "Nonsmooth Optimization for Multiband Frequency-Domain

Control Design," Automatica, 43 (2007), pp. 724–731.

15 Alphabetical List