How I can to resolve the code below?

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Ky
Ky on 24 Jan 2024
Edited: Matt J on 24 Jan 2024
function [x, y, z] = Forward_Kinematics1(theta1, theta2, theta3)
syms x y z
% kinematic parameters
R = 94.52;
L1 = 170;
L2 = 319.5;
r = 65;
% Calculate sine and cosine values
c1 = cosd(theta1); s1 = sind(theta1);
c2 = cosd(theta2); s2 = sind(theta2);
c3 = cosd(theta3); s3 = sind(theta3);
% define B1'
B1 = [0; -R - L1*c1 + r; L1*s1];
% define B2'
B2 = [(-sqrt(3)/2)*(-R-L1*c2+r); (-1/2)*(-R-L1*c2+r); L1*s2];
% define B3'
B3 = [(sqrt(3)/2)*(-R-L1*c3+r); (-1/2)*(-R-L1*c3+r); L1*s3];
% Define constants
a1 = 2*(B1(1) - B2(1)); a2 = 2*(B1(1) - B3(1));
b1 = 2*(B1(2) - B2(2)); b2 = 2*(B1(2) - B3(2));
c1 = 2*(B1(3) - B2(3)); c2 = 2*(B1(3) - B3(3));
d1 = (B2(1)^2 + B2(2)^2 + B2(3)^2) - (B1(1)^2 + B1(2)^2 + B1(3)^2);
d2 = (B3(1)^2 + B3(2)^2 + B3(3)^2) - (B1(1)^2 + B1(2)^2 + B1(3)^2);
% Define coefficients for z
A = 1;
B = -2*B1(3);
C = B1(3)^2 - L2^2 + (B1(1))^2 + (B1(2))^2;
% Define equations as symbolic expressions
eq1 = a1 * x + b1 * y + c1 * z - d1;
eq2 = a2 * x + b2 * y + c2 * z + d2;
eq3 = A * z^2 + B * z + C;
  2 Comments
Anjaneyulu Bairi
Anjaneyulu Bairi on 24 Jan 2024
can you post the error that you are getting?
Thanks
Ky
Ky on 24 Jan 2024
I'm calculating Forward kinematics for delta robot. Programe of me is bellow:
function [x, y, z] = Forward_Kinematics1(theta1, theta2, theta3)
syms x y z real
% kinematic parameters
R = 94.52;
L1 = 170;
L2 = 319.5;
r = 65;
% Calculate sine and cosine values
c1 = cosd(theta1); s1 = sind(theta1);
c2 = cosd(theta2); s2 = sind(theta2);
c3 = cosd(theta3); s3 = sind(theta3);
% define B1'
B1 = [0; -R - L1*c1 + r; L1*s1];
% define B2'
B2 = [(-sqrt(3)/2)*(-R-L1*c2+r); (-1/2)*(-R-L1*c2+r); L1*s2];
% define B3'
B3 = [(sqrt(3)/2)*(-R-L1*c3+r); (-1/2)*(-R-L1*c3+r); L1*s3];
% Define constants
a1 = 2*(B1(1) - B2(1)); a2 = 2*(B1(1) - B3(1));
b1 = 2*(B1(2) - B2(2)); b2 = 2*(B1(2) - B3(2));
c1 = 2*(B1(3) - B2(3)); c2 = 2*(B1(3) - B3(3));
d1 = (B2(1)^2 + B2(2)^2 + B2(3)^2) - (B1(1)^2 + B1(2)^2 + B1(3)^2);
d2 = (B3(1)^2 + B3(2)^2 + B3(3)^2) - (B1(1)^2 + B1(2)^2 + B1(3)^2);
% Define coefficients for z
A = 1;
B = -2*B1(3);
C = B1(3)^2 - L2^2 + (B1(1))^2 + (B1(2))^2;
% Define equations as symbolic expressions
eq1 = a1 * x + b1 * y + c1 * z - d1;
eq2 = a2 * x + b2 * y + c2 * z + d2;
eq3 = A * z^2 + B * z + C;
% Convert equations to functions
equations = matlabFunction([eq1; eq2; eq3], 'vars', [x; y; z]);
% Solve the system of equations
initial_guess = [0; 0; 0];
result = fsolve(equations, initial_guess);
% Extract results
x = result(1);
y = result(2);
z = result(3);
% Display results
fprintf('Nghiệm x: %.4f\n', x);
fprintf('Nghiệm y: %.4f\n', y);
fprintf('Nghiệm z: %.4f\n', z);
end
and error, when I run program is
[x, y, z] = Forward_Kinematics1(0,0,0)
Not enough input arguments.
Error in symengine>@(x,y,z)[x.*(-3.455787771261424e+2)-y.*5.9856e+2;x.*3.455787771261424e+2-y.*5.9856e+2;z.^2-6.227201960000001e+4]
Error in fsolve (line 264)
fuser = feval(funfcn{3},x,varargin{:});
Error in Forward_Kinematics1 (line 46)
result = fsolve(equations, initial_guess);
Caused by:
Failure in initial objective function evaluation. FSOLVE cannot continue.

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