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Variable structure system

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1421: 1371: 1383: 22: 1395: 496: 576: – A topology that combines four switches forming the four legs of an "H". Can be used to drive a motor (or other electrical device) forward or backward when only a single supply is available. Often used in actuator sliding-mode control systems. 647:
5. Advances in Variable Structure Systems and Sliding Mode Control—Theory and Applications. Li, S., Yu, X., Fridman, L., Man, Z., Wang, X.(Eds.), Studies in Systems, Decision and Control, v. 115, Springer, 2017, ISBN 978-3-319-62895-0
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6.Variable-Structure Systems and Sliding-Mode Control. M. Steinberger, M. Horn, L. Fridman.(eds.), Studies in Systems, Decision and Control, v.271, Springer International Publishing, Cham, 2020, ISBN 978-3-030-36620-9.
188: 319: 588: – Another (feedback) method of encoding a continuous range of values in a signal that rapidly switches between two states (i.e., a kind of specialized sliding-mode control) 314: 641:
3. Emelyanov S, Utkin V, Tarin V, Kostyleva N, Shubladze A, Ezerov V, Dubrovsky E. 1970. Theory of Variable Structure Control Systems (in Russian). Moscow: Nauka.
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Y. Shtessel, C. Edwards, L. Fridman, A. Levant. Sliding Mode Control and Observation, Series: Control Engineering, Birkhauser: Basel, 2014, ISBN 978-0-81764-8923
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4. Variable Structure Systems: From Principles to Implementation. A. Sabanovic, L. Fridman and S. Spurgeon (eds.), IEE, London, 2004, ISBN 0863413501.
196: 86: 39: 58: 784: 139: 65: 1351: 752: 725: 703: 626: 826: 72: 1458: 1335: 54: 684: 127: 105: 1164: 508:
continuity of these systems, they behave like different continuous nonlinear systems in different regions of their
491:{\displaystyle \varphi (\mathbf {x} ,t)\triangleq ^{\operatorname {T} }:\mathbb {R} ^{n+1}\mapsto \mathbb {R} ^{n}} 1399: 1325: 43: 1330: 777: 1487: 1492: 1482: 1477: 1179: 1031: 600: – Another modulation scheme that produces continuous motion through discontinuous switching 543: 527: 291: 79: 1497: 1432: 1375: 770: 591: 1451: 32: 1059: 1387: 1079: 882: 597: 585: 509: 1356: 1069: 939: 739:. Lecture Notes in Control and Information Sciences. Vol. 193. London: Springer-Verlag. 621:. Lecture Notes in Control and Information Sciences. Vol. 334. Berlin: Springer-Verlag. 1219: 1194: 1149: 997: 992: 954: 929: 548: 500: 8: 1094: 987: 579: 530:
depends upon methods of analyzing variable structure systems, which are special cases of
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2. Emelyanov, S.V., ed. (1967). Variable Structure Control Systems. Moscow: Nauka.
130: 1254: 1239: 1214: 1189: 1109: 1104: 1064: 982: 977: 972: 887: 836: 793: 568: 281:{\displaystyle \mathbf {x} \triangleq ^{\operatorname {T} }\in \mathbb {R} ^{n}} 1428: 1309: 1304: 1299: 1269: 1244: 1234: 1229: 1199: 1124: 1119: 1084: 1044: 1012: 934: 919: 851: 821: 563: 513: 1471: 1294: 1209: 1169: 1054: 877: 861: 676: 553: 531: 1420: 1274: 1174: 1099: 1264: 1259: 1249: 1184: 924: 811: 617:
Edwards, Cristopher; Fossas Colet, Enric; Fridman, Leonid, eds. (2006).
1279: 1134: 744: 944: 831: 582: – Uses switching-mode control to drive continuous outputs 21: 573: 762: 801: 183:{\displaystyle {\dot {\mathbf {x} }}=\varphi (\mathbf {x} ,t)} 616: 594: – A generalized form of delta-sigma modulation 619:
Advances in Variable Structure and Sliding Mode Control
322: 294: 199: 142: 46:. Unsourced material may be challenged and removed. 490: 308: 280: 182: 1469: 1452: 778: 512:. At the boundaries of these regions, their 693: 523:over different parts of their state space. 1459: 1445: 785: 771: 718:Deterministic control of uncertain systems 696:Sliding Modes in Control and Optimization 478: 457: 302: 268: 106:Learn how and when to remove this message 675:(3rd ed.). Upper Saddle River, NJ: 737:Variable Structure and Lyapunov Control 734: 712: 1470: 665: 1427:This technology-related article is a 766: 1415: 1394: 610: 44:adding citations to reliable sources 15: 1336:Systems theory in political science 792: 13: 720:. London: Peter Peregrinus Press. 655: 447: 258: 14: 1509: 309:{\displaystyle t\in \mathbb {R} } 1419: 1393: 1381: 1370: 1369: 735:Zinober, Alan S.I., ed. (1994). 429: 393: 363: 330: 201: 167: 147: 20: 31:needs additional citations for 1326:Systems theory in anthropology 516:switch abruptly. Hence, their 473: 443: 439: 425: 403: 389: 373: 359: 346: 340: 326: 254: 208: 177: 163: 1: 1331:Systems theory in archaeology 604: 1431:. You can help Knowledge by 7: 537: 55:"Variable structure system" 10: 1514: 1414: 544:Variable structure control 528:variable structure control 316:is the time variable, and 1365: 1344: 1318: 1030: 963: 915: 906: 870: 827:Coupled human–environment 800: 120:variable structure system 592:Pulse-density modulation 532:hybrid dynamical systems 1160:Charles A. S. Hall 1080:Ludwig von Bertalanffy 598:Pulse-width modulation 586:Delta-sigma modulation 492: 310: 282: 184: 1357:Principia Cybernetica 1070:Anthony Stafford Beer 940:Sociotechnical system 504:function. Due to the 493: 311: 288:is the state vector, 283: 185: 1220:Mihajlo D. Mesarovic 1195:Edward Norton Lorenz 1150:Jay Wright Forrester 955:World-systems theory 930:Earth system science 694:Utkin, V.I. (1992). 549:Sliding mode control 501:piecewise continuous 320: 292: 197: 140: 40:improve this article 1488:Concepts in physics 1095:Kenneth E. Boulding 698:. Springer-Verlag. 580:Switching amplifier 526:The development of 1225:James Grier Miller 1180:Faina M. Kirillova 1140:Heinz von Foerster 1130:Edsger W. Dijkstra 1090:Alexander Bogdanov 1075:Richard E. Bellman 1050:William Ross Ashby 745:10.1007/BFb0033675 488: 306: 278: 180: 1493:Nonlinear control 1483:Dynamical systems 1478:Nonlinear systems 1440: 1439: 1409: 1408: 1290:Manuela M. Veloso 1205:Humberto Maturana 1145:Stephanie Forrest 1115:C. West Churchman 1040:Russell L. Ackoff 1026: 1025: 898:Positive feedback 893:Negative feedback 754:978-3-540-19869-7 727:978-0-86341-170-0 705:978-0-387-53516-6 672:Nonlinear Systems 628:978-3-540-32800-1 559:Nonlinear control 154: 116: 115: 108: 90: 1505: 1498:Technology stubs 1461: 1454: 1447: 1423: 1416: 1397: 1396: 1385: 1373: 1372: 1285:Francisco Varela 1017:Systems thinking 950:Urban metabolism 913: 912: 787: 780: 773: 764: 763: 758: 731: 709: 690: 633: 632: 614: 497: 495: 494: 489: 487: 486: 481: 472: 471: 460: 451: 450: 432: 424: 423: 396: 388: 387: 366: 358: 357: 333: 315: 313: 312: 307: 305: 287: 285: 284: 279: 277: 276: 271: 262: 261: 252: 251: 233: 232: 220: 219: 204: 189: 187: 186: 181: 170: 156: 155: 150: 145: 131:nonlinear system 111: 104: 100: 97: 91: 89: 48: 24: 16: 1513: 1512: 1508: 1507: 1506: 1504: 1503: 1502: 1468: 1467: 1466: 1465: 1412: 1410: 1405: 1361: 1340: 1314: 1255:Anatol Rapoport 1240:Talcott Parsons 1215:Donella Meadows 1190:Allenna Leonard 1110:Mary Cartwright 1105:Kathleen Carley 1065:Gregory Bateson 1060:BĂ©la H. Bánáthy 1022: 959: 908: 902: 888:Limiting factor 883:Leverage points 866: 804: 796: 794:Systems science 791: 761: 755: 728: 714:Zinober, A.S.I. 706: 687: 658: 656:Further reading 636: 629: 615: 611: 607: 569:Optimal control 540: 482: 477: 476: 461: 456: 455: 446: 442: 428: 419: 415: 392: 383: 379: 362: 353: 349: 329: 321: 318: 317: 301: 293: 290: 289: 272: 267: 266: 257: 253: 247: 243: 228: 224: 215: 211: 200: 198: 195: 194: 166: 146: 144: 143: 141: 138: 137: 112: 101: 95: 92: 49: 47: 37: 25: 12: 11: 5: 1511: 1501: 1500: 1495: 1490: 1485: 1480: 1464: 1463: 1456: 1449: 1441: 1438: 1437: 1424: 1407: 1406: 1404: 1403: 1391: 1379: 1366: 1363: 1362: 1360: 1359: 1354: 1348: 1346: 1342: 1341: 1339: 1338: 1333: 1328: 1322: 1320: 1316: 1315: 1313: 1312: 1310:Anthony Wilden 1307: 1305:Jennifer Wilby 1302: 1300:Norbert Wiener 1297: 1292: 1287: 1282: 1277: 1272: 1270:Claude Shannon 1267: 1262: 1257: 1252: 1247: 1245:Ilya Prigogine 1242: 1237: 1235:Howard T. Odum 1232: 1230:Radhika Nagpal 1227: 1222: 1217: 1212: 1207: 1202: 1200:Niklas Luhmann 1197: 1192: 1187: 1182: 1177: 1172: 1167: 1162: 1157: 1152: 1147: 1142: 1137: 1132: 1127: 1125:George Dantzig 1122: 1120:Manfred Clynes 1117: 1112: 1107: 1102: 1097: 1092: 1087: 1085:Margaret Boden 1082: 1077: 1072: 1067: 1062: 1057: 1052: 1047: 1045:Victor Aladjev 1042: 1036: 1034: 1028: 1027: 1024: 1023: 1021: 1020: 1010: 1005: 1000: 995: 990: 985: 980: 975: 970: 964: 961: 960: 958: 957: 952: 947: 942: 937: 935:Living systems 932: 927: 922: 920:Control theory 916: 910: 904: 903: 901: 900: 895: 890: 885: 880: 874: 872: 868: 867: 865: 864: 859: 854: 849: 844: 839: 834: 829: 824: 819: 814: 808: 806: 798: 797: 790: 789: 782: 775: 767: 760: 759: 753: 732: 726: 716:, ed. (1990). 710: 704: 691: 685: 659: 657: 654: 635: 634: 627: 608: 606: 603: 602: 601: 595: 589: 583: 577: 571: 566: 564:Robust control 561: 556: 551: 546: 539: 536: 485: 480: 475: 470: 467: 464: 459: 454: 449: 445: 441: 438: 435: 431: 427: 422: 418: 414: 411: 408: 405: 402: 399: 395: 391: 386: 382: 378: 375: 372: 369: 365: 361: 356: 352: 348: 345: 342: 339: 336: 332: 328: 325: 304: 300: 297: 275: 270: 265: 260: 256: 250: 246: 242: 239: 236: 231: 227: 223: 218: 214: 210: 207: 203: 191: 190: 179: 176: 173: 169: 165: 162: 159: 153: 149: 114: 113: 28: 26: 19: 9: 6: 4: 3: 2: 1510: 1499: 1496: 1494: 1491: 1489: 1486: 1484: 1481: 1479: 1476: 1475: 1473: 1462: 1457: 1455: 1450: 1448: 1443: 1442: 1436: 1434: 1430: 1425: 1422: 1418: 1417: 1413: 1402: 1401: 1392: 1390: 1389: 1384: 1380: 1378: 1377: 1368: 1367: 1364: 1358: 1355: 1353: 1350: 1349: 1347: 1345:Organizations 1343: 1337: 1334: 1332: 1329: 1327: 1324: 1323: 1321: 1317: 1311: 1308: 1306: 1303: 1301: 1298: 1296: 1295:Kevin Warwick 1293: 1291: 1288: 1286: 1283: 1281: 1278: 1276: 1273: 1271: 1268: 1266: 1263: 1261: 1258: 1256: 1253: 1251: 1248: 1246: 1243: 1241: 1238: 1236: 1233: 1231: 1228: 1226: 1223: 1221: 1218: 1216: 1213: 1211: 1210:Margaret Mead 1208: 1206: 1203: 1201: 1198: 1196: 1193: 1191: 1188: 1186: 1183: 1181: 1178: 1176: 1173: 1171: 1170:Lydia Kavraki 1168: 1166: 1163: 1161: 1158: 1156: 1155:Barbara Grosz 1153: 1151: 1148: 1146: 1143: 1141: 1138: 1136: 1133: 1131: 1128: 1126: 1123: 1121: 1118: 1116: 1113: 1111: 1108: 1106: 1103: 1101: 1098: 1096: 1093: 1091: 1088: 1086: 1083: 1081: 1078: 1076: 1073: 1071: 1068: 1066: 1063: 1061: 1058: 1056: 1055:Ruzena Bajcsy 1053: 1051: 1048: 1046: 1043: 1041: 1038: 1037: 1035: 1033: 1029: 1018: 1014: 1011: 1009: 1006: 1004: 1001: 999: 996: 994: 991: 989: 986: 984: 981: 979: 976: 974: 971: 969: 966: 965: 962: 956: 953: 951: 948: 946: 943: 941: 938: 936: 933: 931: 928: 926: 923: 921: 918: 917: 914: 911: 905: 899: 896: 894: 891: 889: 886: 884: 881: 879: 878:Doubling time 876: 875: 873: 869: 863: 860: 858: 855: 853: 850: 848: 845: 843: 840: 838: 835: 833: 830: 828: 825: 823: 820: 818: 815: 813: 810: 809: 807: 803: 799: 795: 788: 783: 781: 776: 774: 769: 768: 765: 756: 750: 746: 742: 738: 733: 729: 723: 719: 715: 711: 707: 701: 697: 692: 688: 686:0-13-067389-7 682: 678: 677:Prentice Hall 674: 673: 668: 664: 663: 662: 653: 649: 645: 642: 639: 630: 624: 620: 613: 609: 599: 596: 593: 590: 587: 584: 581: 578: 575: 572: 570: 567: 565: 562: 560: 557: 555: 554:Hybrid system 552: 550: 547: 545: 542: 541: 535: 533: 529: 524: 522: 519: 515: 511: 507: 503: 502: 483: 468: 465: 462: 452: 436: 433: 420: 416: 412: 409: 406: 400: 397: 384: 380: 376: 370: 367: 354: 350: 343: 337: 334: 323: 298: 295: 273: 263: 248: 244: 240: 237: 234: 229: 225: 221: 216: 212: 205: 174: 171: 160: 157: 151: 136: 135: 134: 132: 129: 128:discontinuous 125: 121: 110: 107: 99: 88: 85: 81: 78: 74: 71: 67: 64: 60: 57: â€“  56: 52: 51:Find sources: 45: 41: 35: 34: 29:This article 27: 23: 18: 17: 1433:expanding it 1426: 1411: 1398: 1386: 1374: 1319:Applications 1275:Katia Sycara 1175:James J. 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"Variable structure system"
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discontinuous
nonlinear system
piecewise continuous
state space
dynamics
variable structure control
hybrid dynamical systems
Variable structure control
Sliding mode control
Hybrid system
Nonlinear control
Robust control
Optimal control
H-bridge
Switching amplifier
Delta-sigma modulation
Pulse-density modulation
Pulse-width modulation
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