| Aerospace Blockset | |
Convert quaternion vector to Euler angles
Library
Description
The Quaternions to Euler Angles block converts the four-element unit quaternion (q0,q1,q2,q3) into the equivalent three Euler angle rotations (roll, pitch, yaw).
The conversion is generated by comparing elements in the direction cosine matrix (DCM), as functions of the Euler rotation angles, with elements in the DCM, as functions of a unit quaternion vector.
From the preceding, you can derive the following relationships between DCM elements and individual Euler angles:
Dialog Box
Inputs and Outputs
The input is a 4-by-1 quaternion vector.
The output is a 3-by-1 vector of Euler angles.
Assumptions and Limitations
This implementation generates a pitch angle that lies between 
degrees, and roll and yaw angles that lie between 
degrees.
Examples
See aero_six_dof.mdl for an example of the use of the Quaternions to Euler Angles block in an implementation of the equations of motion of a rigid body.
See Also
Direction Cosine Matrix to Euler Angles
Direction Cosine Matrix to Quaternions
Euler Angles to Direction Cosine Matrix
Quaternions to Direction Cosine Matrix
| | Quaternions to Direction Cosine Matrix | Second Order Linear Actuator | |
