Calendar

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.)

Course Info

Learning Resource Types

notes Lecture Notes
group_work Projects with Examples