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## Process Dynamics |

These
are lecture notes developed while teaching a Process Dynamics course at
Colorado School of Mines 1997 - 2009. These notes do not necessarily
correspond to what is currently being taught at the school.

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Data Fitting with Linear & Non-Linear Regression

Advanced Control Schemes

Design Cases

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**Lecture notes**Mathematical Modeling — Review of Heat & Material Balances

"Traditional" ODE Solution Techniques

- Separation of Variables, Integration Factors, ...
- Numerical Methods for ODE Solutions
- Solving
problem numerically using
*POLYMATH* - Example given in class

- Table of typical Laplace Transforms
- Special Modeling Techniques — Deviation variables & linearizing an ODE
- Use of Cramer's rule for simultaneous linear equations
- Spreadsheet to numerically
split into partial fractions

*Transfer Functions & Dynamic Responses*- Introduction to Transfer Functions
- 1st Order Systems
- 2nd Order Systems
- Higher Order Systems
- Table of Responses for 1st & 2nd order systems to standard input functions

Data Fitting with Linear & Non-Linear Regression

*Feedback Control Systems*

- Analysis of Feedback Control Systems
- Stability Analysis of Feedback Control Systems
- Design & Tuning of Feedback Control Systems
- Cohen & Coon Controller Tuning Example
- Excel spreadsheet (in ZIP file)
- Ziegler-Nichols Controller Tuning Example
- Direct Synthesis Tuning Method
- Associated
*Mathematica*notebooks - Frequency Response Methods

Advanced Control Schemes

- Feedforward controllers
- Cascade
control

Design Cases