Application of Ensemble Training of a Structural Controller to the AMD Benchmark Problem

G.F. Panariello (formerly, Civil Engineering and Engineering Mechanics, Columbia University)
R. Betti (Civil Engineering and Engineering Mechanics, Columbia University)
R.W. Longman (Mechanical Engineering, Columbia University)

paper (PDF, 1060KB); abstract


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Active Mass Driver (AMD) Results

  cont1 cont2 cont3 cont4
  reduce control effort
Q(1,1)=1, Q(2,2)=1, Q(3,3)=1, Q(12,12)=1, R=9
reduce control effort
Q(1,1)=1, Q(2,2)=1, Q(3,3)=1, Q(12,12)=2, R=25
reduce structural response
Q(1,1)=1, Q(2,2)=1, Q(3,3)=1, Q(12,12)=3, R=9
reduce structural response
Q(1,1)=1.2, Q(2,2)=3.6, Q(3,3)=1.2, Q(12,12)=3.8, R=9?
    unstable controller unstable controller  
J1 0.326113 0.418316 0.320867 0.263639
J2 0.504272 0.657230 0.496071 0.404242
J3 0.390885 0.227479 0.429899 0.574243
J4 0.396802 0.232510 0.434566 0.578259
J5 0.505451 0.621229 0.474232 0.580418
J6 0.4267010.459799 0.4733360.500807 0.4222180.451299 0.3997470.423295
J7 0.6482920.820002 0.7163580.901640 0.6797890.796659 0.6282180.717969
J8 0.4762270.506898 0.3606440.286279 0.5776700.555603 0.7651360.759502
J9 0.4727680.579656 0.3649550.353756 0.5618380.643965 0.7462830.870475
J10 1.0940880.917677 1.0466560.884813 0.8656570.889405 1.0805520.996437
uRMS 0.116095 0.073859 0.139427 0.180718
amRMS 0.904758 1.112000 0.848875 1.038949
xmRMS 0.512060 0.297998 0.563168 0.752258
uMAX 0.4512510.232783 0.3293220.141311 0.5067170.265633 0.6614390.353910
amMAX 5.5251422.367607 5.2856152.282816 4.3715692.294666 5.4567872.570807
xmMAX 1.6048840.841450 1.2153710.475223 1.9467480.922301 2.5785101.260773
  ElCentroHachinohe ElCentroHachinohe ElCentroHachinohe ElCentroHachinohe

Numbers in this face represent violated constraints.
Numbers in this face are the larger of the ElCentro/Hachinohe values.

The Kanai-Tajimi results were performed using wg =37.3 rads/sec, zg =0.3, Tf =300 secs.

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