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Physical implementations and limitations in control theory
Published on Oct 16, 20123976 Views
We discuss how and when one can implement and approximate given active and passive systems using lossless/Hamiltonian systems. In particular, we show that lossless systems are dense in the passive sys
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Chapter list
Physical implementations and limitations in control theory00:00
Outline (1)00:42
Background and Motivation01:00
The Problem: Physical Implementations02:12
Why Lossless Components?04:04
Article05:06
Outline (2)06:29
An Example: A Linear Lossless Implementation of a Resistor06:44
The Generalization: Linear Lossless Synthesis08:13
Passive/Dissipative Systems09:15
Passive and Lossless Systems10:39
Example: Passive Cart System G13:46
Approximation using Lossless Gn14:27
Construction of Lossless Gn15:42
Impulse Response of Cart System17:33
Lossless Realization17:45
Convergence of Lossless Models20:07
Linear Lossless Systems Are Dense in Linear Dissipative Systems!20:55
Linear Lossless Implementation – Two Problems22:13
Fluctuation-Dissipation Theorem (1)23:57
Fluctuation-Dissipation Theorem (2)24:00
Outline (3)24:02
Time-Varying Capacitor24:18
Time-Varying Lossless Transformer25:11
Implementation Using Time-Varying Lossless Circuit25:47
Example: To Build a Resistor27:31
A Lossless Cooling Device30:30
Example: To Build a Negative Resistor31:02
A Lossless Resistance Compensator31:35
Outline (4)31:49
A Nonlinear Lossless Implementation32:08
A Maxwellian Demon?33:59
Summary of Part 135:48
Outline (5)42:45
A Bound on Classical Observer Effect (1)42:48
A Bound on Classical Observer Effect (2)45:33
Measurement Model (1)46:51
Measurement Model (2)47:49
Why Lossless Wave Equation?48:48
Unmeasured vs. Measured System50:20
Measurement Back Action51:04
Idealized Measurement Device M*51:47
Lower Bounds on Accuracy52:52
Back Action and Accuracy Trade-Off (1)53:30
Back Action and Accuracy Trade-Off (2)54:14
Summary Part 255:05
Some References56:08