Aerospace Blockset™Direction Cosine Matrix to Rotation Angles    Discrete Wind Gust Model
  

Direction Cosine Matrix to Wind Angles - Convert direction cosine matrix to wind angles

Library

Utilities/Axes Transformations

Description

The Direction Cosine Matrix to Wind Angles block converts a 3-by-3 direction cosine matrix (DCM) into three wind rotation angles. The DCM matrix performs the coordinate transformation of a vector in earth axes into a vector in wind axes . The order of the axis rotations required to bring this about is:

  1. A rotation about oz0 through the heading angle to axes

  2. A rotation about oy1 through the flight path angle to axes

  3. A rotation about ox2 through the bank angle to axes

Combining the three axis transformation matrices defines the following DCM.

To determine wind angles from the DCM, the following equations are used:

Dialog Box

Inputs and Outputs

InputDimension TypeDescription

First

3-by-3 direction cosine matrixTransforms earth vectors to wind vectors.

OutputDimension TypeDescription

First

3-by-1 vectorContains the wind angles, in radians.

Assumptions and Limitations

This implementation generates a flight path angle that lies between degrees, and bank and heading angles that lie between degrees.

See Also

Direction Cosine Matrix Body to Wind

Direction Cosine Matrix Body to Wind to Alpha and Beta

Direction Cosine Matrix to Rotation Angles

Rotation Angles to Direction Cosine Matrix

Wind Angles to Direction Cosine Matrix

  

Direction Cosine Matrix to Rotation Angles Direction Cosine Matrix to Rotation Angles  Discrete Wind Gust ModelDiscrete Wind Gust Model

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