.txt file is below:0,00.00411063129017657,0.0460517018598707
0.0159149106883419,0.0921034037197414
0.0346164073253852,0.138155105579612
0.0594189596426569,0.184206807439483
0.0895347097895548,0.230258509299353
0.124191347037892,0.276310211159224
0.162638556499099,0.322361913019095
0.204153677800372,0.368413614878966
0.24804658596234,0.414465316738836
0.293663813515851,0.460517018598707
0.34039193889992,0.506568720458578
0.387660271405563,0.552620422318448
0.434942867387065,0.598672124178319
0.481759916175444,0.64472382603819
0.527678537126423,0.69077552789806
0.572313031549618,0.736827229757931
0.61532463493367,0.782878931617802
0.656420815943626,0.828930633477672
0.695354169164689,0.874982335337543
0.731920948544965,0.921034037197414
0.765959287995125,0.967085739057285
0.79734715468138,1.01313744091716
0.826000079246965,1.05918914277703
0.851868705562846,1.1052408446369
0.874936200686518,1.15129254649677
0.895215563543355,1.19734424835664
0.912746868481136,1.24339595021651
0.927594477326691,1.28944765207638
0.939844250933409,1.33549935393625
0.94960078848683,1.38155105579612
0.956984720067404,1.42760275765599
0.962130075186816,1.47365445951586
0.965181747246541,1.51970616137573
0.966293071141186,1.5657578632356
0.965623528568614,1.61180956509547
0.963336593035007,1.65786126695534
0.95959772407431,1.70391296881522
0.954572517853691,1.74996467067509
0.948425019122773,1.79601637253496
0.94131619739522,1.84206807439483
0.933402588334832,1.8881197762547
0.924835099560742,1.93417147811457
0.915757978491241,1.98022317997444
0.906307938415269,2.02627488183431
0.896613437714396,2.07232658369418
0.886794106054868,2.11837828555405
0.876960310425541,2.16442998741392
0.867212853108992,2.21048168927379
0.857642793034009,2.25653339113366
0.848331381461354,2.30258509299353
0.839350102593653,2.34863679485341
0.830760809466201,2.39468849671328
0.822615945359625,2.44074019857315
0.814958840968446,2.48679190043302
0.807824077652146,2.53284360229289
0.801237907277672,2.57889530415276
0.795218719424635,2.62494700601263
0.78977754705714,2.6709987078725
0.784918602159603,2.71705040973237
0.780639833278771,2.76310211159224
0.77693349740148,2.80915381345211
0.773786739118655,2.85520551531198
0.771182170572638,2.90125721717185
0.769098446249163,2.94730891903172
0.767510827250015,2.9933606208916
0.76639173026087,3.03941232275147
0.765711257004747,3.08546402461134
0.76543770053946,3.13151572647121
0.7655380253122,3.17756742833108
0.765978318421626,3.22361913019095
0.766724210053587,3.26967083205082
0.76774126154755,3.31572253391069
0.7689953200142,3.36177423577056
0.770452838858191,3.40782593763043
0.772081163961958,3.4538776394903
0.773848785655529,3.49992934135017
0.775725556932566,3.54598104321004
0.777682878673997,3.59203274506991
0.779693852907529,3.63808444692978
0.781733405364374,3.68413614878966
0.783778378794283,3.73018785064953
0.785807598667378,3.7762395525094
0.787801913027468,3.82229125436927
0.789744208367871,3.86834295622914
0.791619403478826,3.91439465808901
0.793414423267022,3.96044635994888
0.795118154574461,4.00649806180875
0.796721386027684,4.05254976366862
0.798216733931306,4.09860146552849
0.799598556183865,4.14465316738836
0.800862856141155,4.19070486924823
0.802007178284576,4.2367565711081
0.803030497471531,4.28280827296797
0.803933103453491,4.32885997482785
0.804716482246948,4.37491167668772
0.805383195834815,4.42096337854759
0.80593676156276,4.46701508040746
0.806381532477948,4.51306678226733
0.806722579738401,4.5591184841272
0.806965578100919,4.60517018598707
0.807116695375709,4.65122188784694
0.807182486617504,4.69727358970681
0.807169793707367,4.74332529156668
You are tasked with identifying a black box second order system. The test engineer provided you with the step response plot:
Step Response
0.9
0.8
0.7
0.3
0.2
0.1
0 0
1
2 3 Time(seconds)
4
Figure 1:Unknown second order system
First,estimate the following system parameters:
1.Overshoot percentage
2.Damping ratio 3. Settling time 4.Natural frequency
Then write the system's transfer function
The [yt] values used to create the plot are given in unit step response.txt if you wish to use them in your analysis.
Hint: you can confirm your analysis by plotting the step response of your derived transfer function