AirshipStabConDerivatives:
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Compute the stability and control derivatives for an airship model.
The subscripts are given after an underscore. For example,
_V is a "V" subscript. Each subscript indicates the
variable (state or control) that the partial derivative
is taken with respect to.
The dimensional derivatives are named with the force or
moment abbreviation, followed by a subscript.
The non-dimensional derivatives are named with "C"
then the force or moment abbreviation, followed by a
subscript.
For eample:
- M_alpha is the dimensional derivative for the pitch
moment "M" with respect to angle of attack "alpha".
- Cm_alpha is the corresponding non-dimensional
derivative.
Since version 4 (ACT)
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Form:
[dim,nonDim] = AirshipStabConDerivatives( mdl, h, theta, alpha, V )
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Inputs
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Outputs
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dim (.) Data structure with fields for dimensional derivatives
- Partial derivatives of body frame forces with respect
to small changes in various states and controls, then
divided by mass.
- Partial derivatives of body frame moments with
respect to small changes in various states and
controls, then divided by the inertia of that axis.
nonDim (.) Data structure with fields for non-dimensional
derivatives. Each non-dimensional derivative is equal to
the corresponding dimensional derivative, multiplied by a
scaling factor. The following scaling factors are used:
- FORCE_VELOCITY : V * mass / (qBar * S)
- FORCE_ANGLE : mass / (qBar * S)
- FORCE_ANGLE-RATE: 2*V * mass / (qBar * S * c)
- MOMENT_VELOCITY : V * inertia / (qBar * S * c)
- MOMENT_ANGLE : inertia / (qBar * S * c)
- MOMENT_ANGLE-RATE : 2*V * inertia / (qBar * S * c * c)
where V is the airspeed, qBar is the dynamic pressure, S
is the reference area, c is the reference length. The
inertia quantity used is for the corresponding axis of
the moment, and is computed in the wind-frame.
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Children:
AC: ACCoord/AlphBeta
AC: ACCoord/BToW
AC: ACCoord/ECIToNED
AeroUtils: AtmosphericCalculations/AirData
Airships: Control/AirshipState
Airships: Modeling/BuildAirshipModel
Airships: Simulation/AirshipInit
Common: Quaternion/Q2Eul
Common: Quaternion/QMult
Common: Quaternion/QPose
Common: Transform/Altitude
Math: Linear/Mag
