Course syllabus

# Processreglering

Automatic Process Control

## FRTN25, 7,5 credits, A (Second Cycle)

## General Information

## Aim

## Learning outcomes

## Contents

## Examination details

## Admission

## Reading list

## Contact and other information

Automatic Process Control

Valid for: 2012/13

Decided by: Education Board 1

Date of Decision: 2012-03-22

Elective for: B4-l, B4-lm, B4-pt, K4-p, K4-l

Language of instruction: The course will be given in Swedish

The course, which is elective, is intended for students in year 3-4 in the Chemical Engineering and Biotechnology programmes. The aim is to give an overview of control engineering, its concepts, methods, and applications in chemical engineering.

After the couse the students should be able to formulate and understand mathematical models for dynamical systems, analyse dynamical systems, and design controllers for dynamical systems. The course is divided into three modules: modeling, analysis, and synthesis.

Control plays a major role in most parts of our society. In earlier courses the students have learnt how to model and understand system behaviour. The aim of this course is to learn the students how to make a system operator more reliable, in a more environment-friendly way, with better precision, or in a more economical way, in spite of external disturbances acting on the system. The word system has a very general interpretation. It can, for example, be a reactor, a heat exchanger, or a waste water treatment plant. The course teaches a systems-oriented way of thinking which the students can make use of in their future careers, independent of the actual application area.

Knowledge and understanding

For a passing grade the student must

- understand what a linear time-invariant dynamical systems is
- be able to grasp the basic concepts of control
- understand how a dynamical system can be modeled using different model representations, for example transient responses, transfer functions, differential equations on state-space form and input-output form, and frequency responses described using Bode or Nyquist diagrams
- have knowledge about the concepts that are used to describe the performance of a dynamical system, for example stability and stationary characteristics
- have knowledge about the most common controller types and their mathematical basis
- understand the advantages and disadvantages of different controller structures

Competences and skills

For a passing grade the student must

- be able to use basic concepts of control in written and oral form
- be able to approximate a nonlinear system with a linear system through linearisation
- be able to describe a dynamical system in different forms, including transient responses, transfer functions, state-space models, and differential equatons on input-output form and state-space form
- be able to compute the relationships between different model representations
- be able to analyse dynamical systems and reason about their behaviour
- be able to design controllers and controller structures from given specifications
- be able to use modern computer tools for control tasks
- be able to write simple sequence control programs
- be able to perform simple control experiments on laboratory setups in order to derive a system that behaves according to specifications
- be able to present project results in oral and written form

Judgement and approach

For a passing grade the student must

- understand the relations and limitations when simple models are used to describe complex dynamical systems
- be capable of solving new previously unknown controller problem of smaller size
- be able to communicate in a professional way with persons working with control
- show the ability for team work and cooperation in laboratory exercises, hand-in problems, and project work

Course modules:

- Introduction
- Modelling
- Dynamical systems
- Feedback
- PID design
- Controller structures
- Frequency domain analysis
- Systems with multiple inputs and outputs
- Sequence control

The course contains laboratory exercises that are connected to the main topics of the course.

Grading scale: TH

Assessment: Written exam (5 hours), three laboratory exercises, two hand in problems, and one small project. In the case of less than five registered students, the second and third exam may be given on oral form.

Parts

Code: 0113. Name: Examination.

Credits: 7,5. Grading scale: TH.

Code: 0213. Name: Laboratory Work 1.

Credits: 0. Grading scale: UG.

Code: 0313. Name: Laboratory Work 2.

Credits: 0. Grading scale: UG.

Code: 0413. Name: Laboratory Work 3.

Credits: 0. Grading scale: UG.

Code: 0513. Name: Hand In Problem 1.

Credits: 0. Grading scale: UG.

Code: 0613. Name: Hand-in problem 2.

Credits: 0. Grading scale: UG.

Code: 0713. Name: Small Project.

Credits: 0. Grading scale: UG.

Required prior knowledge: FMA 420 Linear Algebra, FMAA01 Calculus in One Variable, FMA430 Calculus in Several Variables.

The number of participants is limited to: No

The course might be cancelled: If the number of applicants is less than 12.

The course overlaps following course/s: FRT010, FRT110, FRT081

- Wittenmark, B., Åström K.J. and Jørgensen, S.B.: Process Control (Lecture notes), LTH/KFS 1999.
- Wittenmark, B.: Exercises in Process control, LTH/KFS 1999, Laborations PM, LTH/KFS 1999.
- Lab-PM. Collection of formula.

Course coordinator: Docent Anton Cervin, anton.cervin@control.lth.se

Director of studies: Professor Karl-Erik Årzén, karl-erik.arzen@control.lth.se

Course homepage: http://www.control.lth.se/Education/EngineeringProgram/FRTN25.html

Further information: May not be part of an exam together with FRT010, FRT081 or FRT110.