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Table 2 Evaluation criteria for evaluated control systems

From: A semi-active H∞ control strategy with application to the vibration suppression of nonlinear high-rise building under earthquake excitations

Earthquake intensity Semi-active H∞ Semi-active MPC Clipped-LQG control
El Centro Hachi. Northrdg. Kobe Max value El Centro Hachi. Northrdg. Kobe Max value El Centro Hachi. Northrdg. Kobe Max value
0.5/1.0/1.5 0.5/1.0/1.5 0.5/1.0 0.5/1.0 0.5/1.0/1.5 0.5/1.0/1.5 0.5/1.0 0.5/1.0 0.5/1.0/1.5 0.5/1.0/1.5 0.5/1.0 0.5/1.0
J 1
Peak drift ratio
0.5870
0.5883
0.5896
0.7581
0.7576
0.8058
0.6648
0.9209
0.5016
0.5360
0.9209 0.6704
0.6628
0.6632
0.7832
0.7891
0.8114
0.7487
0.8741
0.5996
0.5990
0.8741 0.6957
0.6450
0.6007
0.7867
0.7707
0.8180
0.691
0.906
0.5495
0.5324
0.906
J 2
Peak acceleration
0.5129
0.5093
0.5235
0.5235
0.5275
0.5996
0.6208
0.7866
0.4315
0.6561
0.7866 0.617
0.6334
0.6493
0.7572
0.7561
0.8518
0.7427
0.8266
0.5411
0.77
0.9271 0.6149
0.5568
0.6156
0.8171
0.7673
0.8175
0.7167
0.8195
0.6228
0.741
0.8195
J 3
Peak base shear
0.7061
0.7063
0.8266
0.9923
0.9884
1.0194
0.9320
1.0302
0.7264
1.0430
1.0430 0.857
0.8197
0.9306
1.0907
1.0466
1.0733
0.9373
1.0136
0.9629
1.0378
1.0907 0.8145
0.8283
0.9612
1.0519
1.0507
1.0623
1.0019
1.0777
0.766
1.0793
1.0793
J 4
Norm drift ratio
0.5247
0.5232
0.5277
0.7512
0.7526
0.7697
0.4862
1.0809
0.3771
0.1427
1.2809 0.569
0.577
0.5866
0.7928
0.7994
0.8198
0.5814
1.0175
0.4762
0.1867
1.0175 0.5568
0.5261
0.5206
0.7761
0.7553
0.7649
0.4557
1.1881
0.3563
0.1716
1.1881
J 5
Norm acceleration
0.3255
0.3251
0.3351
0.4571
0.4576
0.4689
0.3508
0.4513
0.3080
0.4448
0.4689 0.4786
0.4815
0.4328
0.7025
0.6348
0.5525
0.4739
0.5401
0.5342
0.5717
0.7025 0.5656
0.4833
0.462
0.6647
0.59
0.5699
0.4043
0.4909
0.4237
0.548
0.6647
J 6
Norm base shear
0.5865
0.5847
0.5889
0.7456
0.7462
0.7580
0.5146
0.7295
0.4545
0.6498
0.7580 0.6693
0.6516
0.6568
0.7946
0.7749
0.7848
0.6261
0.7984
0.5845
0.7626
0.7984 0.6733
0.6303
0.6179
0.823
0.784
0.7831
0.5091
0.7429
0.4395
0.6352
0.823
J 7
Ductility
0.6839
0.66847
0.6399
0.9310
0.9303
0.8969
0.7174
0.9423
0.4193
0.5606
0.9423 0.6747
0.6689
0.6253
0.9245
0.9231
0.8789
0.6603
0.9012
0.5763
0.6818
0.9245 0.6992
0.7098
0.6533
0.9569
0.9367
0.8999
0.6837
0.9276
0.4292
0.4985
0.9569
J 8
Dissipated energy


0


0.2548
0.0561
0.3065
0
0.0983
0.3065

0


0.2422
0.0254
0.3936
0.024
0.1109
0.3936

0


0.2567
0.0351
0.2546
0
0.0719
0.2567
J 9
Plastic connection


0


0.3256
0.2917
0.6354
0
0.3810
0.6354

0


0.4186
0.2292
0.8021
0.1538
0.7024
0.8021

0


0.3256
0.2083
0.6979
0
0.5833
0.6979
J 10
Norm ductility
0.5847
0.5832
0.5207
0.7350
0.7360
0.7990
0.3976
1.2573
0.3871
0.1447
1.2573 0.6324
0.6426
0.5793
0.7632
0.7716
0.8125
0.4821
1.0805
0.4919
0.2522
1.0805 0.6136
0.5875
0.5137
0.7519
0.7288
0.8343
0.3858
1.2044
0.3394
0.207
1.2044
J 11
Control force
0.0016
0.0032
0.0048
0.0017
0.0033
0.0049
0.0051
0.0090
0.0045
0.0090
0.0090 0.0017
0.0033
0.0044
0.0017
0.0033
0.0043
0.0044
0.0069
0.0046
0.0084
0.0084 0.002092
0.00382
0.005435
0.002315
0.004334
0.006041
0.00647
0.009429
0.007067
0.009408
0.009429
J 12
Device stroke
0.0680
0.0680
0.0687
0.0746
0.0746
0.0792
0.0792
0.1036
0.0947
0.1030
0.1036 0.0667
0.0655
0.0661
0.0739
0.0737
0.0781
0.0724
0.0965
0.1113
0.1096
0.1113 0.07083
0.07125
0.07095
0.07562
0.07395
0.07793
0.07372
0.09833
0.08558
0.08767
0.09833
J 13
Control power
0.000065
0.000033
0.000023
0.000066
0.000033
0.000024
0.000018
0.000015
0.000023
0.000016
0.000066 0.000065
0.000033
0.000023
0.000066
0.000033
0.000024
0.000018
0.000015
0.000023
0.000016
0.000066 0.000009
0.000009
0.00001
0.000011
0.000011
0.000012
0.000009
0.00001
0.000011
0.000013
0.000013
J 14
Norm control power
0.000065
0.000033
0.000023
0.000066
0.000033
0.000024
0.000018
0.000015
0.000023
0.000016
0.000066 0.000065
0.000033
0.000023
0.000066
0.000033
0.000024
0.000018
0.000015
0.000023
0.000016
0.000066 0.000001
0.000001
0.000001
0.000001
0.000001
0.000001
0
0
0
0
0.000001
J 15
Control devices
65 65 65 65 65 65
J 16
Sensors
25 25 5 5 25 25
J 17
Computational resolution
20 20 20 20 20 20
J 18
Maximum permanent drift


0


0.8389
0.1845
1.0926
0
0.0225
1.0926

0.0022


0.8338
0.0308
1.028
0.0779
0.0902
1.028

0


1.3284
0.1438
1.2149
0
0.1398
1.3284
J 19
Total permanent drift


0


0.4006
0.0832
0.7249
0
0.0174
0.7249

0.0037


0.5005
0.0152
0.7468
0.0292
0.1334
0.7468

0


0.7127
0.0598
0.7214
0
0.1057
0.7214
  1. aNote that uncontrolled structure does not yield in some cases such as 0.5/1.0 scale El Centro earthquake and 0.5/1.0 scale Hachi. earthquake