Welcome to the course CHEM-E7140
>> Second assignment posted, see 'Assignments' <<
Francesco Corona (email@example.com - E331 Kemistintie 1)
CHEM-E7140 is an introductory course on modern process control.
We study the mathematical principles and the basic computational tools of state-feedback and optimal control theory to manipulate the dynamic behaviour of process systems. The course aims at bringing understanding of feedback control in process systems while at the same time showing how this approach can be used in general application domains in chemical and bio-chemical engineering.
- - Introduction to process systems automation (systems analysis, model types and properties, model representations);
- - Mathematical modelling of dynamic process systems with inputs and outputs using ordinary differential equations. State-space representation. Dynamics and stability of linear time-invariant systems. Linearisation of nonlinear systems around a fixed point;
- - Synthesis of state-feedback controllers. Controllability and reacheability. Controllability tests. Eigenvalue placement. Optimal control and the linear quadratic regulator;
- - Full-state estimation from sensor data. Observability and detectability. Observability tests. Design of statistical state estimators. Optimal state estimation and the Kalman filter;
- - Optimal estimation and optimal control with the linear quadratic Gaussian regulator.
After the course, the participant will understand:
- Dynamic process models using input-output and state-space representations;
- Process dynamics and stability of linear time-invariant process models;
- Controllability and observability of linear time-invariant process models;
- Feedback control and the synthesis of linear quadratic regulators LQR;
- Optimal state estimation and the Kalman filter;
- Optimal estimation and control using linear quadratic Gaussian regulators LQG.
To pass the course the participant must pass 1) the examination and 2) the course project. The final assessment (the grade) is given by the (rounded) weighted sum of the examination's assessment (weight 60%, the examination grade gets multiplied by 0.6) and the assessment of the project (weight 40%, the project grade gets multiplied by 0.4).
For each task, the following conversion table applies:
|5||< -- [88,100)|
|4||< -- [76,88)|
|3||< -- [64,76)|
|2||< -- [52,64)|
|1||< -- [40,52)|
|0||< -- [00,40)|
The course examination is a standard 'pen-and-paper' examination (see Aalto's guidelines) and the course project consists of the collection of assignments (
The course is based on lecture slides/notes (to be uploaded here).
Slides are mostly based on the following textbooks:
- Process dynamics and control, by D. Seborg (2016);
- Feedback systems: An introduction for scientists and engineers, by K. Åstrom and R. Murray (2010);
- Stochastic optimal control: Theory and application (aka Optimal control and estimation), by R. Stengel (1986/1994).