Direction Cosine Matrix to Wind
Calculation of the angles between the axes of the velocity and normal coordinate systems using the transformation matrix.
blockType: SubSystem
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Path in the library: |
Description
Block Direction Cosine Matrix to Wind calculates the angles between the axes of the velocity and normal coordinate systems: high-speed roll angle , velocity pitch angle and the velocity yaw angle .
The transformation matrix has the form:
The angles are determined by the formulas:
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The block uses coordinate systems according to the international standard ISO 1151. |
Limitations
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The values of the velocity pitch angle are in the range of
[-90°, +90°]. -
The values of the velocity angles of roll and yaw are in the range of
[-180°, +180°].
Ports
Entrance
DCMwe is the pass:q transformation matrix[<br>] 3-by-3 matrix
A matrix of guiding cosines for converting the component vectors of a normal coordinate system into a velocity one.
Data types: Float64
Output
μ γ χ are the angles between the axes of the normal and velocity coordinate systems of
3-by-1 vector
The angles between the axes of the normal and velocity coordinate systems, set as a vector. Vector elements:
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— high-speed bank angle, rad.
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— high-speed pitch angle, rad.
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— high-speed yaw angle, rad.
Data types: Float64