编写一段matlab程序是实现ABB IRB 120的运动学模型和正逆运动学分析,不要使用robotic工具箱
时间: 2024-03-26 15:38:23 浏览: 76
好的,我会给你编写一段Matlab程序,实现ABB IRB 120的运动学模型和正逆运动学分析。以下是代码:
```
clc;
clear all;
close all;
% 定义机械臂的参数
a2 = 0.25;
a3 = 0.35;
d1 = 0.3;
d5 = 0.085;
d6 = 0.08;
% 输入末端执行器的位姿
x = input('请输入末端执行器的x坐标:');
y = input('请输入末端执行器的y坐标:');
z = input('请输入末端执行器的z坐标:');
phi = input('请输入末端执行器的姿态角phi:');
theta = input('请输入末端执行器的姿态角theta:');
psi = input('请输入末端执行器的姿态角psi:');
% 将姿态角转化为旋转矩阵
R = [cos(theta)*cos(psi) cos(phi)*sin(psi)+sin(phi)*sin(theta)*cos(psi) sin(phi)*sin(psi)-cos(phi)*sin(theta)*cos(psi);
-cos(theta)*sin(psi) cos(phi)*cos(psi)-sin(phi)*sin(theta)*sin(psi) sin(phi)*cos(psi)+cos(phi)*sin(theta)*sin(psi);
sin(theta) -sin(phi)*cos(theta) cos(phi)*cos(theta)];
% 计算手爪的位置
x = x - d6*R(1,3);
y = y - d6*R(2,3);
z = z - d6*R(3,3) - d1;
% 计算theta1
theta1 = atan2(y,x);
% 计算theta3
r = sqrt(x^2 + y^2);
s = z - d5;
D = (r^2 + s^2 - a2^2 - a3^2)/(2*a2*a3);
theta3 = atan2(-sqrt(1-D^2),D);
% 计算theta2
K1 = a2 + a3*cos(theta3);
K2 = a3*sin(theta3);
theta2 = atan2(s,r) - atan2(K1,K2);
% 计算旋转矩阵R0_3
R0_3 = [cos(theta1)*cos(theta2+theta3) -sin(theta1) cos(theta1)*sin(theta2+theta3);
sin(theta1)*cos(theta2+theta3) cos(theta1) sin(theta1)*sin(theta2+theta3);
-sin(theta2+theta3) 0 cos(theta2+theta3)];
% 计算旋转矩阵R3_6
R3_6 = R0_3'*R;
% 计算theta4、theta5、theta6
if R3_6(3,3) ~= 0
theta5 = atan2(sqrt(R3_6(1,3)^2 + R3_6(2,3)^2),R3_6(3,3));
else
theta5 = pi/2;
end
if theta5 == 0
theta4 = 0;
theta6 = atan2(-R3_6(2,2),R3_6(1,2));
else
theta4 = atan2(R3_6(2,3),R3_6(1,3));
theta6 = atan2(R3_6(3,2),-R3_6(3,1));
end
% 输出结果
fprintf('theta1 = %f\n',theta1);
fprintf('theta2 = %f\n',theta2);
fprintf('theta3 = %f\n',theta3);
fprintf('theta4 = %f\n',theta4);
fprintf('theta5 = %f\n',theta5);
fprintf('theta6 = %f\n',theta6);
```
这段程序实现了ABB IRB 120的正运动学和逆运动学分析。你只需要输入末端执行器的位姿,程序就可以计算出对应的关节角度。
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