Question

Using the data below, determine the settling time for the second order system:

Time (s)	Amplitude
0	0
3.16E-30	7.47E-57
0.0002009509145	3.02E-05
0.001205705487	1.08E-03
0.00622947835	2.72E-02
0.0310234533	0.5124798924
0.06182619079	1.42518817
0.09924865943	2.359213825
0.1403755911	2.920516231
0.1835315875	3.109100448
0.2277539458	3.104428489
0.2783618436	3.045984383
0.3427082024	3.002737367
0.4250393709	2.995240372
0.5064069484	2.998974783
0.6154469095	3.000330972
0.7675008987	3.000468019
0.9202263312	2.999748795
1.0566679	2.999554627
1.193109468	3.000021214
1.388516791	3.001741122
1.51086337	3.000185181
1.633209948	2.999722844
1.786722545	2.999803766
1.960731087	3.000734198
2.085173347	3.000352327
2.209615607	2.99988824
2.404419919	2.998923741
2.577001965	3.000301735
2.683482331	3.000888184
2.789962698	2.999999922
2.960358508	2.999381635
3.135232281	2.999127645
3.281634097	3.001377641
3.415905814	3.000791482
3.535948311	2.999740656
3.699181476	2.999306266
3.853134133	3.000228201
3.981995666	3.000496849
4.1108572	2.999997087
4.296682768	2.998962055
4.428887435	2.99978285
4.561092102	3.000296758
4.723469513	3.000407609
4.887240259	2.999339358
5.010703316	2.999575612
5.134166372	3.000088132
5.331670353	3.001281944
5.503342779	3.000198734
5.611167684	2.999008013
5.718992588	2.999955017
5.875068417	3.000390915
6.051371342	3.000746725
6.207337125	2.998803274
6.323785792	2.999508861
6.44023446	3.000127793
6.624252676	3.000820717
6.795031353	2.999730673
6.907399121	2.999301776
7.019766889	3.000007816
7.197997726	3.000715621
7.340337896	3.000230973
7.482678066	2.999581617
7.645390322	2.999344552
7.795936328	3.000549827
7.923748708	3.000448595
8.051561088	2.999916613
8.250669633	2.998398066
8.417713614	2.999503546
8.551400352	3.001982604
8.66047447	3.000198289
8.788976127	2.999719601
8.948557155	2.999693374
9.117159634	3.00071125
9.240337981	3.000397714
9.363516327	2.999902529
9.55955458	2.998834586
9.732019079	3.000026113
9.839440344	3.000942461
9.946861609	3.00002405
10	2.999918929

Can anyone explain to plug this into Matlab or excel?

Answer 1

This data can be plugged into MATLAB using load filename.txt command and then accessing its columns. First, copy and paste this data into notepad and save that data using a suitable filename. Next, apply import or load command to access that .txt file in MATLAB. Say we save the file using filename 'settling'.

settling1 = importdata('settling1.txt');

settling=settling1.data

time = settling(1,:);

amplitude = settling(2,:);

Finding settling time is easy, even no need to plot. Just by observing we see that data increases continuously up to time and the fluctuates between 2.999999 and 3.0000000 etc. from given table settling occurs at t= 0.278 seconds. Hence, the settling time is 0.278 seconds.