matlab机械臂求逆解代码
时间: 2023-07-09 07:33:06 浏览: 165
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以下是一个简单的MATLAB机械臂逆运动学求解示例代码,可以根据机械臂的类型和结构进行修改和调整:
```matlab
% 机械臂逆运动学求解
% 机械臂DH参数
a = [0, 0.5, 0.4, 0];
alpha = [pi/2, 0, 0, pi/2];
d = [0.3, 0, 0, 0.4];
theta = [0, 0, 0, 0];
% 目标位置和姿态
T = [1,0,0,0.5;0,1,0,0;0,0,1,0.6;0,0,0,1];
R = T(1:3,1:3);
P = T(1:3,4);
% 逆运动学求解
theta(1) = atan2(P(2), P(1));
theta(3) = acos((P(1)^2+P(2)^2+P(3)^2-a(2)^2-a(3)^2-d(1)^2-d(4)^2)/(2*a(2)*a(3)));
theta(2) = atan2(P(3)-d(1), sqrt(P(1)^2+P(2)^2)) - atan2(a(3)*sin(theta(3)), a(2)+a(3)*cos(theta(3)));
T0_3 = [cos(theta(1))*cos(theta(2)+theta(3)), -sin(theta(1)), cos(theta(1))*sin(theta(2)+theta(3)), a(2)*cos(theta(2))+a(3)*cos(theta(2)+theta(3));
sin(theta(1))*cos(theta(2)+theta(3)), cos(theta(1)), sin(theta(1))*sin(theta(2)+theta(3)), a(2)*sin(theta(2))+a(3)*sin(theta(2)+theta(3));
-sin(theta(2)+theta(3)), 0, cos(theta(2)+theta(3)), d(1)+a(2)*sin(theta(2))+a(3)*sin(theta(2)+theta(3));
0, 0, 0, 1];
T3_6 = [R, P; 0, 0, 0, 1];
T0_6 = T0_3 * T3_6;
theta(4) = atan2(T0_6(2,4), T0_6(1,4));
theta(5) = atan2(sqrt(T0_6(1,3)^2+T0_6(2,3)^2), T0_6(3,3));
theta(6) = atan2(T0_6(3,2), -T0_6(3,1));
```
输入机械臂的DH参数、目标位置和姿态,输出机械臂的关节角度。其中,T0_3和T3_6为机械臂的前三个关节和后三个关节的变换矩阵,通过矩阵乘法计算得到。theta为机械臂的关节角度,通过反三角函数计算得到。
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