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Using the Z-Y-X (alpha - beta - gamma) Euler angle convention, write a MATLAB pr

ID: 1720955 • Letter: U

Question

Using the Z-Y-X (alpha - beta - gamma) Euler angle convention, write a MATLAB program to calculate the rotation matrix ^A_B R when the user enters the Euler angles alpha - beta - gamma. Test for two examples: alpha = 10 degree, beta = 20 degree, gamma = 30 degree. alpha = 30 degree, beta = 90 degree, gamma = -55 degree. For case (i), demonstrate the six constraints for unitary orthonormal rotation matrices (i.e., there are nine numbers in a 3 Times 3 matrix, but only three are independent). Also, demonstrate the beautiful property, ^B_A R = ^A_B R^-1 = ^A_B R^T, for case i.

Explanation / Answer

there are notations for every transformation in matlab.

http://in.mathworks.com/help/robotics/ug/coordinate-systems-in-robotics.html?requestedDomain=www.mathworks.com

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