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An Optimal Architecture for Decentralized Control over Posets
Published on Oct 16, 20122973 Views
Partially ordered sets (posets) provide a natural way of modeling problems where communication constraints between subsystems have a hierarchical or causal structure. In this talk, we consider general
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Chapter list
An Optimal Architecture for Decentralized Control over Posets00:00
Motivation - 100:31
Motivation - 201:10
Motivation - 301:53
Outline03:58
Partially ordered sets (posets)04:41
Incidence Algebras - 106:13
Example - 107:20
Example - 208:16
Example - 308:39
Incidence Algebras - 209:22
Incidence Algebras - 309:28
Control problem - 110:48
Control problem - 210:49
Control problem - 311:00
Control problem - 411:01
Control problem - 511:23
Modeling decentralized control problems using posets - 111:31
Modeling decentralized control problems using posets - 212:05
Modeling decentralized control problems using posets - 312:18
Modeling decentralized control problems using posets - 412:35
Controller Structure - 115:13
Controller Structure - 215:14
Examples of poset systems15:39
General framework18:56
Literature review19:52
Optimal Control Problem20:48
Convex reparametrization22:00
State-Space Setup26:36
Decentralized Control Problem26:55
H2 Decomposition Property27:15
H2 State Space Solution - 129:14
H2 State Space Solution - 231:01
General Controller Architecture - 131:29
General Controller Architecture - 232:17
General Controller Architecture - 332:18
Architecture: informal idea32:40
Upper sets and lower sets - 137:47
Upper sets and lower sets - 238:26
Local Variables - 138:39
Local Variables - 238:57
Local Variables - 339:36
Local Products39:40
Zeta and Möbius - 140:01
Zeta and Möbius - 242:24
Möbius inversion - 142:56
Möbius inversion - 243:42
Möbius inversion - 344:02
Möbius inversion: examples44:15
Möbius inversion is local46:16
Controller Architecture - 147:27
Controller Architecture - 250:21
Controller Architecture - 351:27
Separation Principle - 152:01
Separation Principle - 252:02
Separation Principle - 353:26
Optimality53:31
Controller architecture - 454:09
Conclusions55:21