| LEC # | TOPICS |
|---|---|
| 1 |
Introduction to Multi-domain Modeling Syllabus, Policies and Expectations |
| 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 |
| 6 |
Energy and Co-energy Legendre Transformation Intrinsic Stability |
| 7 | Magnetism and Electro-mechanical Transduction |
| 8 |
Simple Thermodynamics Work-to-heat Transduction |
| 9 |
Ideal Gas Models Co-energy Functions and Causality |
| 10 |
The 2nd Law of Thermodynamics Multi-port Resistors |
| 11 |
Heat Transfer Models Thermal Damping |
| 12 |
Nonlinear Mechanical Systems Modulated Transformers and Gyrators |
| 13 |
Lagrangian Mechanics Coordinates, State Variables, Energy Variables |
| 14 |
Thévenin and Norton Equivalent Networks Impedance Control |
| 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 |
| 19 |
Thermodynamics of Open Systems Convection and Matter Transport |
| 20 |
Matter Transport 2nd Law in Non-heat-transfer Processes Throttling and Mixing |
| 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.) |