Simulink Control Design™ - MathWorks

(Tuis.) #1

Conic Sector Goal


Purpose


Enforce sector bound on specific input/output map when using Control System Tuner.

Description


Conic Sector Goal creates a constraint that restricts the output trajectories of a system. If
for all nonzero input trajectories u(t), the output trajectory z(t) = (Hu)(t) of a linear
system H satisfies:

∫ 0


T
ztTQztdt< 0,

for all T ≥ 0, then the output trajectories of H lie in the conic sector described by the
symmetric indefinite matrix Q. Selecting different Q matrices imposes different conditions
on the system response. When you create a Conic Sector Goal, you specify the input
signals, output signals, and the sector geometry.

Conic Sector Goal
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