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AP_InertialSensor: fixed Q calculation for notch filters #28765

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@tridge tridge commented Nov 28, 2024

when doing the notch init() we must use the reference frequency, not the current frequency. Using the current frequency leaves us with an incorrect value for Q. If the current frequency is below the reference frequency (which shouldn't happen in 4.5, but has been seen in 4.3) then the Q can be much too low and massive phase lag can happen. I am also not 100% certain a low freq in init() can't happen in 4.5.x, the route it came in for the 4.3.x crash logs is quite complex.

The way the init() works is we call it continuously up until 30s after boot, then we call it only if the user changes the notch parameters. This means the precise state of the aircraft at the 30s after boot mark is critical. Depending on what is happening to the aircraft at 30s after boot the Q value could be a very long way off.

The confirmed vulnerability in 4.5.x is that the current frequency could be well above the reference frequency. For example, the user may be doing a motor test at 30s after boot, which is when we stop the sensors_converging() test, and thus is the last time we call init(). In that case we can end up with a Q which is much larger than the one that should come from INS_HNTCH_FREQ and INS_HNTCH_BW, and thus end up with a filter that produces a lot less attenuation than is desired, potentially leading to instability due to high noise.

There are other scenarios that can cause this - for example a motor test of a fwd motor at 30s after boot, or a spurious FFT peak due to someone knocking the aircraft, or the vibration of a IC engine.
I've checked, and it is already fixed in 4.6.x

@tridge tridge added the BUG label Nov 28, 2024
when doing the init() we must use the reference frequency, not the
current frequency. Using the current frequency leaves us with an
incorrect value for Q. If the current frequency is below the reference
frequency (which shouldn't happen in 4.5, but has been seen in 4.3)
then the Q can be much too low and massive phase lag can happen.

The vulnerability in 4.5.x is that the current frequency could be well
above the reference frequency. For example, the user may be doing a
motor test at 30s after boot, which is when we stop the
sensors_converging() test, and thus is the last time we call
init(). In that case we can end up with a Q which is much larger than
the one that should come from INS_HNTCH_FREQ and INS_HNTCH_BW, and
thus end up with a filter that produces a lot less attenuation than is
desired, potentially leading to instability due to high noise.

There are other scenarios that can cause this - for example a motor
test of a fwd motor at 30s after boot, or a spurious FFT peak due to
someone knocking the aircraft, or the vibration of a IC engine.
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Nice catch!

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Still an issue - needs to pass CI

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