Syllabus

LEARNING OUTCOMES

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.

Credits: 5

Schedule: 23.10.2023 - 07.12.2023

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Francesco Corona, Jukka Kortela

Contact information for the course (applies in this implementation):

CHEM-E7190 is an introductory course on modern process control

We study the mathematical principles and the basic computational tools of state-feedback control to manipulate a process system using a model of its dynamics and instruments. Because based on a state-space approach, the design of the controllers develops strongly on the physical modelling and intuition of the process systems and their sensors: The physics is in the form of differential equation models (ODEs mainly, for balance equations), while the measuring instruments are in the form of algebraic equations (equalities). The basis for designing optimal controllers and observers is then developed from an understanding of the process model in terms of its stability, controllability, and observability.

• Introduction to process system analysis

1. Model types and properties;
2. Model representations.
   

• Mathematical modelling of process dynamics using differential equations and process instruments using algebraic equations

1. State-space representations;
2. Dynamics and stability of linear time-invariant systems;
3. Linearisation of nonlinear systems around a fixed point.
   

• Synthesis of state-feedback controllers

• Controllability and reachability;
  
• Controllability tests;
  
• Eigenvalue placement;
  
• Optimal control with the linear quadratic regulator;
  
• Full-state observers from sensor data
1. Observability and detectability;
2. Observability tests;
3. Optimal state estimation with the Luenberger observer.

The course brings an understanding of feedback control in process systems, while showing how this approach can be used in general application domains in chemical and bio-chemical engineering.

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English

CONTENT, ASSESSMENT AND WORKLOAD

Content

• valid for whole curriculum period:

  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.

Assessment Methods and Criteria

• valid for whole curriculum period:

  Home assignments and/or project work, and exam.

Workload

• valid for whole curriculum period:

  Lectures (32h) and Exercises (16h)

  Home assignments and independent study (80h)

  Exam (4h)

DETAILS

Substitutes for Courses

• valid for whole curriculum period:

  Substitutes for Courses

Prerequisites

• valid for whole curriculum period:

  Prerequisites

SDG: Sustainable Development Goals

3 Good Health and Well-being

4 Quality Education

5 Gender Equality

6 Clean Water and Sanitation

7 Affordable and Clean Energy

8 Decent Work and Economic Growth

9 Industry, Innovation and Infrastructure

11 Sustainable Cities and Communities

12 Responsible Production and Consumption

13 Climate Action

FURTHER INFORMATION

Further Information

• valid for whole curriculum period:

  Teaching Language : English

  Teaching Period : 2022-2023 Autumn II
  2023-2024 Autumn II

  Enrollment :

  A maximum number of 65 students is admitted to the course. Priority is given to degree students taking in Chemical and Process Engineering as their major. If space, other students (exchange students and Aalto degree students) will be admitted to the course based on registration order.

  A course implementation may be cancelled if the number of students enrolled to the course implementation does not meet the required minimum of five students. In the case of cancelled course implementations, the students enrolled to them must be provided with an alternative way of completing the course or be advised to take some other applicable course.

Description