SystemModling/Lab01/scripts/sample_data.m

40 lines
1.3 KiB
Matlab

function sample_data(t, x, Ts, A0, omega, filename)
% SAMPLE_DATA - Resamples pendulum simulation data and exports to CSV
%
% Usage:
% sample_pendulum_data(t, x, Ts, A0, omega, filename)
%
% Inputs:
% t - time vector from ODE solver (e.g., from ode45)
% x - state matrix [q(t), dq(t)]
% Ts - sampling period (in seconds)
% A0 - input amplitude for u(t) = A0 * sin(omega * t)
% omega - input frequency (in rad/s)
% filename - output CSV filename
% Time vector for resampling
t_sampled = t(1):Ts:t(end);
% Resample q and dq using interpolation
q_sampled = interp1(t, x(:,1), t_sampled);
dq_sampled = interp1(t, x(:,2), t_sampled);
% Estimate second derivative using central finite differences
ddq_sampled = zeros(size(q_sampled));
N = length(q_sampled);
for k = 2:N-1
ddq_sampled(k) = (q_sampled(k+1) - 2*q_sampled(k) + q_sampled(k-1)) / Ts^2;
end
% Evaluate input u(t)
u_sampled = A0 * sin(omega * t_sampled);
% Create table and export to CSV
T = table(t_sampled', q_sampled', dq_sampled', ddq_sampled', u_sampled', ...
'VariableNames', {'t', 'q', 'dq', 'ddq', 'u'});
writetable(T, filename);
fprintf('Sampling data saved to file: %s\n', filename);
end