| 1 |
Introduction to Multi-domain Modeling
Syllabus, Policies and Expectations
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| 2 |
Review: Network Models of Physical System Dynamics
Bond-graph Notation
|
| 3 |
Review: Computability and Causality
Block Diagrams from Bond Graphs
|
| 4 |
Review: Interaction between Domains and Equivalent Dynamic Behavior |
| 5 |
Energy-storing Domain Coupling
Multi-port Capacitor
Maxwell's Reciprocity
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| 6 |
Energy and Co-energy
Legendre Transformation
Intrinsic Stability
|
| 7 |
Magnetism and Electro-mechanical Transduction |
| 8 |
Simple Thermodynamics
Work-to-heat Transduction
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| 9 |
Ideal Gas Models
Co-energy Functions and Causality
|
| 10 |
The 2nd Law of Thermodynamics
Multi-port Resistors
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| 11 |
Heat Transfer Models
Thermal Damping
|
| 12 |
Nonlinear Mechanical Systems
Modulated Transformers and Gyrators
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| 13 |
Lagrangian Mechanics
Coordinates, State Variables, Energy Variables
|
| 14 |
Thévenin and Norton Equivalent Networks
Impedance Control
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| 15 |
Nonlinear Mechanical Transformations and Impedance Control |
| 16 |
Transmission Lines
Diffusion and Wave Behavior
Physical-model-based Control
|
| 17 |
Non-equilibrium Multi-port Resistors
Nodicity
|
| 18 |
Amplifying Processes
Small-signal and Large-signal Models
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| 19 |
Thermodynamics of Open Systems
Convection and Matter Transport
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| 20 |
Matter Transport
2nd Law in Non-heat-transfer Processes
Throttling and Mixing
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| 21 |
Simple Fluid Mechanics
The "Bernoulli Resistor" and "Pseudo-bond-graphs"
|
| 22 |
Chemical Reaction and Diffusion Systems
Gibbs-Duhem Equation
|
| 23 |
Causal Path Analysis
Control-relevant Properties: Zero Dynamics, Relative Degree
|
| 24 |
Passivity and Interaction Stability
Hamiltonian Mechanics
|
| 25 |
Scattering Variables
Power-continuous Junctions
Tellegen's Theorem
|
| 26 |
Term Project Presentations |
| 27 |
Term Project Presentations (cont.) |