FA-11973 / Discrete control systems / Member archive
Removing a dead zone creates a command discontinuity · case 03
Removing a dead zone creates a command discontinuity.
Case contract
For symmetric nonnegative width d, output zero for abs(x)<=d, otherwise sign(x)*(abs(x)-d). This is an unscaled integer dead-zone model.
Why this case matters
An offline discrete controller model isolates this state or arithmetic fault; it makes no physical plant or safety claim.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| positive beyond | 9 | 6 | Failed |
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