Research Article
A Robust Vibration Control of a Magnetorheological Damper Based Railway Suspension Using a Novel Adaptive Type 2 Fuzzy Sliding Mode Controller
(a) The dataset for building the T2F-SMC-TPM corresponding to |
| Number | Special features | Mass | Optimal SMC | Mass | Optimal SMC | | | | | | | | | |
| 1 | 8.5253 | 5.0648 | 14 | 1.000 | 2335.0716 | 1822.7658 | 1.038 | 953.2621 | 722.1579 | 2 | 4.5223 | 3.3975 | 8 | 906.5074 | 735.9054 | 841.9140 | 659.5604 | 3 | 8.7672 | 2.9489 | 6 | 2540.8886 | 1982.8015 | 990.1407 | 750.2305 | 4 | 4.9732 | 5.4584 | 4 | 711.9458 | 582.0642 | 758.5645 | 596.0658 | 5 | 2.0376 | 3.8494 | 4 | 2142.8384 | 1673.2942 | 2034.4626 | 1530.7845 | 6 | 1.2514 | 4.1052 | 2 | 904.2789 | 712.2077 | 923.4180 | 721.6689 | 7 | 0.9223 | 3.9994 | 2 | 2133.5566 | 1666.7040 | 2422.9525 | 1821.3986 | 8 | 0.8066 | 3.1138 | 2 | 865.9687 | 680.8311 | 890.6681 | 696.9541 | 9 | 1.3385 | 3.3878 | 2 | 840.4636 | 658.2600 | 2190.2782 | 1647.6059 | 10 | 1.5627 | 3.8997 | 2 | 983.9933 | 798.1658 | 2713.4929 | 2038.7391 | 11 | 1.6466 | 2.6311 | 6 | 629.8220 | 515.9764 | 626.9616 | 482.9901 | 12 | 1.6149 | 2.3337 | 2 | 4169.1999 | 3000.3139 | 2713.8037 | 482.9901 | 13 | 1.4922 | 2.8278 | 2 | 919.8343 | 721.0951 | 2702.1637 | 2030.3610 | 14 | 1.4764 | 2.5080 | 2 | 2612.6371 | 1345.8986 | 2288.6442 | 1720.3469 | 15 | 1.5229 | 3.0562 | 2 | 945.9174 | 743.7041 | 989.4768 | 748.8851 | 16 | 1.6485 | 3.5864 | 2 | 944.8328 | 740.8054 | 2812.7509 | 1394.6906 | 17 | 1.7683 | 4.7461 | 4 | 2890.0544 | 2253.6125 | 2926.9739 | 2198.3221 | 18 | 1.8755 | 4.9534 | 2 | 2832.5362 | 2208.8614 | 2099.8805 | 1579.3051 | 19 | 1.9866 | 5.1213 | 2 | 904.9660 | 710.6018 | 910.8603 | 690.5929 | 20 | 1.7298 | 4.2015 | 2 | 2193.6037 | 1713.3309 | 2591.9169 | 1948.0186 | 21 | 1.8413 | 4.2470 | 2 | 879.6654 | 691.2135 | 3074.3839 | 2133.4457 | 22 | 1.8428 | 3.6829 | 4 | 1250.6077 | 979.5402 | 2577.5019 | 1936.7388 | 23 | 2.0466 | 3.7993 | 4 | 2621.1654 | 2045.2430 | 2479.5176 | 1863.9505 | 24 | 1.8469 | 3.8806 | 2 | 3040.0223 | 2369.7382 | 2771.7986 | 2082.1558 | 25 | 1.9317 | 4.1203 | 4 | 2107.6196 | 1645.9793 | 2442.4745 | 1836.2908 | 26 | 1.7797 | 3.7806 | 4 | 2381.1191 | 1858.3251 | 902.6679 | 705.8501 | 27 | 1.7707 | 3.2965 | 6 | 2711.6028 | 2113.0585 | 3022.1381 | 2269.1541 | 28 | 1.5443 | 3.7395 | 4 | 758.8964 | 618.6243 | 773.0376 | 612.3174 | 29 | 1.6267 | 4.1595 | 4 | 798.8963 | 654.6223 | 799.0375 | 666.3177 | 30 | 1.5219 | 3.6662 | 4 | 2204.1198 | 1721.1770 | 994.7896 | 752.4646 |
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(b) The dataset for building the T2F-SMC-TPM corresponding to |
| Number | Mass | Optimal SMC | | Optimal SMC | Mass | Optimal SMC | | | | | | | | |
| 1 | 1.077 | 922.5776 | 675.2737 | 1.115 | 2229.1609 | 1561.5576 | 1.153 | 2133.2607 | 1445.4078 | 2 | 871.3061 | 638.8431 | 832.0436 | 590.2148 | 1912.2503 | 1296.9057 | 3 | 2568.7236 | 1862.4014 | 3457.9600 | 2233.9507 | 2375.6936 | 1608.9346 | 4 | 787.6981 | 596.5456 | 744.4079 | 528.6801 | 714.6500 | 506.9179 | 5 | 2159.8919 | 1567.2162 | 847.4220 | 600.1297 | 2299.7221 | 1027.3687 | 6 | 2695.6631 | 1953.3682 | 891.4124 | 651.0358 | 2487.3345 | 1684.2294 | 7 | 2789.9277 | 2021.9472 | 2585.3534 | 1810.2371 | 2885.3419 | 1803.9449 | 8 | 2436.4373 | 1766.8375 | 908.0902 | 642.3536 | 1775.0764 | 1204.6414 | 9 | 2147.1477 | 1558.5583 | 872.3525 | 638.8025 | 870.2371 | 596.0257 | 10 | 2571.4401 | 1864.0762 | 2789.9754 | 1952.1905 | 5713.8451 | 3564.1694 | 11 | 631.0044 | 480.7390 | 660.0787 | 441.5234 | 614.4037 | 439.0579 | 12 | 2601.8914 | 1885.4678 | 3084.4082 | 2157.4933 | 2985.9725 | 2019.9774 | 13 | 5273.5119 | 2513.4696 | 2644.7622 | 1223.3106 | 3181.9203 | 1988.6962 | 14 | 2540.8062 | 1841.7282 | 2502.0637 | 1751.1615 | 2563.7333 | 1735.0979 | 15 | 2458.2745 | 1782.3050 | 4259.0243 | 2749.8682 | 2528.2212 | 1711.6512 | 16 | 3304.1382 | 2210.6709 | 2407.7749 | 1686.1397 | 2262.2689 | 1532.3271 | 17 | 2877.0359 | 2084.1402 | 2785.3674 | 1949.1730 | 2567.3645 | 1737.7531 | 18 | 2613.6180 | 1749.5122 | 2349.6060 | 1645.9095 | 2825.7581 | 1911.7728 | 19 | 2484.8961 | 1189.0543 | 2259.4447 | 1583.1771 | 2889.1311 | 1806.4919 | 20 | 2634.3620 | 1908.7435 | 2741.9918 | 1918.9206 | 3082.0398 | 2084.7294 | 21 | 2032.3262 | 1475.2905 | 891.2040 | 629.9354 | 2940.6243 | 1837.3593 | 22 | 2236.4723 | 1622.8059 | 2796.8879 | 1957.4390 | 2918.0208 | 1973.8165 | 23 | 2770.3559 | 2007.3993 | 2696.2571 | 1887.2921 | 3192.4595 | 1995.1240 | 24 | 1939.3980 | 1408.2689 | 2067.7597 | 1449.3634 | 2667.9370 | 1806.0082 | 25 | 2256.4241 | 1636.3654 | 2346.4782 | 1644.1093 | 2595.5186 | 1757.2010 | 26 | 2398.4572 | 1739.2731 | 2388.5288 | 1673.1055 | 2368.3608 | 1604.3651 | 27 | 3069.3155 | 2222.8377 | 3305.5004 | 2311.3287 | 2863.3061 | 1937.0000 | 28 | 1597.3052 | 1122.2111 | 779.7302 | 571.8900 | 777.9218 | 534.3333 | 29 | 1556.3052 | 1131.2191 | 778.7302 | 571.8907 | 750.9214 | 569.3341 | 30 | 2343.1691 | 1699.9124 | 1964.3744 | 1377.3736 | 2642.7485 | 1788.9367 |
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