| 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.) |