Solving a system of equations with multiple solutions

6 ビュー (過去 30 日間)
Tuan Hua
Tuan Hua 2017 年 10 月 30 日
コメント済み: Tuan Hua 2017 年 10 月 30 日
Hi everyone,
I am having a problem that I have to solve 2 equations with 3 variables, which means that there will be mutiple solutions. My 2 equatons are:
cos(theta1)*sin(theta3 - pi/2) + cos(theta3 - pi/2)*sin(theta1) + d2*cos(theta1) - 2 = 0
sin(theta1)*sin(theta3 - pi/2) - cos(theta1)*cos(theta3 - pi/2) + d2*sin(theta1) = 0
And the variables are theta1, theta3, d2. I am sure that there will be expressions that show the relation between these variables. But I dont know how to find them?

採用された回答

Birdman
Birdman 2017 年 10 月 30 日
syms theta1 theta3 d2
eqn1=cos(theta1)*sin(theta3-pi/2)+cos(theta3-pi/2)*sin(theta1)+d2*cos(theta1)-2==0;
eqn2=sin(theta1)*sin(theta3-pi/2)-cos(theta1)*cos(theta3-pi/2)+d2*sin(theta1)==0;
sol=solve(eqn1,eqn2);
%%the solutions are found in terms of d2
sol.theta1
sol.theta3
  5 件のコメント
Tuan Hua
Tuan Hua 2017 年 10 月 30 日
Thanks for the link.

サインインしてコメントする。

その他の回答 (0 件)

カテゴリ

Help Center および File ExchangeRobotics についてさらに検索

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by