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How to get 2% and 5% settling time from simulink?
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Hello,
I am simulating a simple open loop control system, as part of it I need to output the 2% and 5% settling time from simulink to check against my matlab and hand calc results. Can anyone help me with outputting the 2% and 5% settling time on simulink?
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Sam Chak
2024-2-22
编辑:Sam Chak
2024-2-22
Hi @Daniel
Below, you'll find the calculation for the settling time based on the 5% criterion:
%% System
zeta= 1/2;
wn = 1;
sys = tf(1, [1 2*zeta*wn wn^2])
%% Assume that response data {Time t, Output y} is sent to Workspace
[y, t] = step(sys);
%% Settling time (5% criterion)
yfinal = 1; % steady-state response value
S = stepinfo(y, t, yfinal, 'SettlingTimeThreshold', 5/100);
Ts = S.SettlingTime
%% Plot result
plot(t, y), grid on
xline(Ts, '--', 'Settling time', 'LabelVerticalAlignment', 'bottom'),
yline(1.05, '--', '+5% threshold')
xlabel t, ylabel y(t)
Update: Demo using Simulink model
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1624778/image.png)
%% ----- This part can be skipped ----
load("responseData.mat");
G = tf(1, [1 8.52 5.3 26]);
step(G), grid on
% ------------------------------------
%% Computation of settling times based on 2% and 5% criteria
yfinal = 1/26; % steady-state response value
S2 = stepinfo(out.out, out.t, yfinal);
Ts2 = S2.SettlingTime % 2% criterion
S5 = stepinfo(out.out, out.t, yfinal, 'SettlingTimeThreshold', 5/100);
Ts5 = S5.SettlingTime % 5% criterion
Paul
2024-2-22
Hi Daniel,
I'm interpreting your question to mean that you have a Simulink model of the system and in Simulink you stimulate the system with a step input and wish to compute the settling time of the output, which is logged by a To Worspace block or something similar.
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