Path: Airships/Control
% 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.
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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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AC: ACCoord/AlphBeta AC: ACCoord/BToW AC: ACCoord/ECIToNED AC: ACCoord/QECI AC: ACData/ACTConstants AC: ACDynamics/AC AC: ACDynamics/ACInit AC: Classes/@acstate/abs.m AC: Classes/@acstate/acstate.m AC: Classes/@acstate/get.m AC: Classes/@acstate/length.m AC: Classes/@acstate/minus.m AC: Classes/@acstate/mrdivide.m AC: Classes/@acstate/mtimes.m AC: Classes/@acstate/plus.m AC: Classes/@acstate/subsasgn.m AC: Classes/@acstate/subsref.m AC: Classes/@acstate/zeros.m AerospaceUtils: AeroData/AtmData AerospaceUtils: AtmosphericCalculations/AirData AerospaceUtils: Coord/CoordinateTransform AerospaceUtils: Coord/ECIToEF AerospaceUtils: Coord/EFToLatLonAlt AerospaceUtils: Coord/LatLonAltToEF AerospaceUtils: Coord/QIToBDot Airships: Control/AirshipState Airships: Control/AirshipTrim Airships: Mass/AirshipMassModel Airships: Mass/BuildAirshipMassModel Airships: Mass/IntegrateMassProps Airships: Modeling/AddedMass Airships: Modeling/AirshipCV Airships: Modeling/AirshipCoefficients Airships: Modeling/AirshipGeometry Airships: Modeling/AirshipInertiaFactors Airships: Modeling/AirshipIntegrals Airships: Modeling/BuildAirshipModel Airships: Modeling/FinFactors Airships: Modeling/FinGeometry Airships: Modeling/GondolaGeometry Airships: Modeling/HalfEllipsoid Airships: Simulation/AirshipAero Airships: Simulation/AirshipInit SC: Ephem/EOfE SC: Ephem/EarthNut SC: Ephem/EarthPre SC: Ephem/EarthRot SC: Ephem/GMSTime SC: Ephem/MSidDay SC: Ephem/NutDelta SC: Ephem/ObOfE SC: Ephem/TruEarth SC: SCData/sCTConstants Common: Atmosphere/StdAtm Common: Classes/@statespace/and.m Common: Classes/@statespace/close.m Common: Classes/@statespace/connect.m Common: Classes/@statespace/eig.m Common: Classes/@statespace/get.m Common: Classes/@statespace/getabcd.m Common: Classes/@statespace/getsub.m Common: Classes/@statespace/isempty.m Common: Classes/@statespace/mtimes.m Common: Classes/@statespace/plus.m Common: Classes/@statespace/series.m Common: Classes/@statespace/set.m Common: Classes/@statespace/statespace.m Common: CommonData/Constants Common: CommonData/SwooshWatermark Common: CommonData/xSplashSmall Common: Control/Append Common: Control/C2DZOH Common: Control/Parallel Common: Control/Series Common: Control/SizeABCD Common: Database/Constant Common: General/CellToMat Common: General/DeBlankLT Common: General/DeleteCell Common: General/MatToCell Common: General/Watermark Common: Graphics/NewFig Common: Graphics/Plot2D Common: Graphics/PltStyle Common: Graphics/XLabelS Common: Graphics/YLabelS Common: Graphics/ZLabelS Common: Quaternion/Mat2Q Common: Quaternion/Q2Eul Common: Quaternion/Q2Mat Common: Quaternion/QForm Common: Quaternion/QMult Common: Quaternion/QPose Common: Quaternion/QTForm Common: Quaternion/QUnit Common: Time/DTSToDTA Common: Time/Date2JD Common: Time/JD2000 Common: Time/JD2T Common: Time/JDToMidnight Common: Time/T2JD Common: Transform/Altitude Common: Transform/Eul2Q Common: Transform/IConvP Common: Transform/Mat2Eul Math: Linear/Cross Math: Linear/DupVect Math: Linear/Mag Math: Linear/SkewSq Math: Linear/SkewSymm Math: Linear/Unit Math: MathUtils/R2P5 Math: Trigonometry/CosD Math: Trigonometry/SinD
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