linearized-pendulum-error plot
显示 更早的评论
Hello,
is there somebody who has an matlab file which plots the error between a linearized equation and a nonlinear equation over the angle of a pendulum?
I am not smart enough to solve this task and I couldnt find something like this in the file exchange.
Tanks for your help
Manuel
回答（2 个）
Sivsankar
2024-9-4
0 个投票
Hi Manuel,
You can refer to the following MATLAB answer which provides MATLAB functions for linear and nonlinear pendulum:
You can find the error by subtracting between the two pendulums and then plot it using the plot function. You can leverage the following documentation on ‘plot’ to get an idea on how to plot the error:
Thanks.
Hi @Manuel Hess
It's late, but here is how you can make the comparison.
% Parameters
g = 9.80665; % standard acceleration of gravity
l = g; % length of pendulum
% Linear model
linpen = @(t, x) [x(2); - 2*x(2) - g/l*x(1)];
% Nonlinear model
nonpen = @(t, x) [x(2); - 2*x(2) - g/l*sin(x(1))];
% Solver settings
tspan = [0, 10];
x0 = [deg2rad(80); 0]; % initial condition (try setting to 30 deg)
% Plot results
[t, xL] = ode45(linpen, tspan, x0);
plot(t, rad2deg(xL(:,1))), hold on
[t, xN] = ode45(nonpen, tspan, x0);
plot(t, rad2deg(xN(:,1))), grid on, xlabel('t / sec'), ylabel('\theta / deg')
legend('Linear model', 'Nonlinear model')
类别
在 帮助中心 和 File Exchange 中查找有关 Graphics 的更多信息
2020-3-25
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
Translated by 
