| Week 1 |
| 1 |
Introduction
Multi-domain Modeling
Syllabus, Policies and Expectations |
Assignment 1 out |
| Week 2 |
| 2 |
Review: Network Models of Physical System Dynamics
Bond-graph Notation |
|
| 3 |
Review (cont.): Equivalent Behavior in Different Domains
Block Diagrams, Bond Graphs, Causality |
|
| Week 3 |
| 4 |
Thévenin and Norton Equivalent Networks
Impedance Control and Applications |
|
| 5 |
Energy-storing Coupling between Domains
Multi-port Capacitor
Maxwell's Reciprocity |
Assignment 1 due
Assignment 2 out |
| Week 4 |
| 6 |
Energy, Co-energy, Legendre Transformation, Causal Assignment
Intrinsic stability |
|
| 7 |
Review Revisited: Magnetism and Electro-magnetism |
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| Week 5 |
| 8 |
Electro-magnetic-mechanical Transduction
Use of Co-energy Functions |
Term project proposal due |
| 9 |
Linearized Energy-storing Transducer Models |
Assignment 2 due
Assignmnet 3 out |
| Week 6 |
| 10 |
Cycle Processes
Work-to-heat Transduction
Thermodynamics of Simple Substances |
|
| 11 |
Causal Assignments and Co-energy Functions
Second Law for Heat Transfer
Multi-port Resistors |
|
| Week 7 |
| 12 |
Nonlinear Mechanical Systems
Modulated Transformers and Gyrators |
Assignment 3 due |
| Week 8 |
| 13 |
Lagrangian Mechanics
Coordinates, State Variables and Independent Energy Storage Variables |
|
| 14 |
Nonlinear Mechanical Transformations and Impedance Control |
Assignment 4 out |
| Week 9 |
| 15 |
Hamiltonian Mechanics
Stable Interaction Control
Canonical Transformation Theory |
|
| 16 |
Term Project Progress Report Discussion |
Term project progress report due |
| Week 10 |
| 17 |
Identification of Physical and Behavioral Parameters
Model structure |
|
| 18 |
(Internally) Modulated Sources
Non-equilibrium Multi-port Resistors
Nodicity |
Assignment 4 due
Assignment 5 out |
| Week 11 |
| 19 |
Amplifying Processes
Small-signal and Large-signal Models |
|
| 20 |
Thermodynamics of Open Systems
Convection and Matter Transport
Lagrangian vs. Eulerian Frames |
|
| Week 12 |
| 21 |
Power Conjugates for Matter Transport
Second Law for Non-heat-transfer Processes
Throttling and Mixing |
|
| 22 |
Bernoulli's Incompressible Equation
The "Bernoulli Resistor" and "Pseudo-bond-graphs" |
Assignment 5 due |
| Week 13 |
| 23 |
Chemical Reaction and Diffusion Systems
Gibbs-Duhem equation |
|
| Week 14 |
| 24 |
Control-relevant Properties of Physical System Models
Causal Analysis, Relative Degree, Passivity and Interaction Stability |
|
| 25 |
Transmission Line Models
Term Project Presentations |
|
| Week 15 |
| 26 |
Wrap-up Discussion
Term Project Presentations (cont.) |
|