Processreglering

**Valid from:** Spring 2016**Decided by:** FN1/AndersGustafsson**Date of establishment:** 2015-12-21

**Division:** Automatic Control**Course type:** Course given jointly for second and third cycle**The course is also given at second-cycle level with course code:** FRTN25**Teaching languages:** English, Swedish

Control plays a major role in most parts of our society. In earlier courses the doctoral students have learnt how to model and understand system behaviour. The aim of this course is to teach 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 doctoral students can make use of in their future careers, independent of the actual application area. After the couse the doctoral 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. The course gives an overview of control engineering, its concepts, methods, and applications in chemical engineering.

*Knowledge and Understanding*

For a passing grade the doctoral 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 doctoral 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 doctoral 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.

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

**Types of instruction:** Lectures, laboratory exercises, exercises, project

**Examination formats:** Written exam, written assignments.
Written exam (5 hours), three laboratory exercises, two hand in problems, and one small project.
**Grading scale:** Failed, pass**Examiner:**

**Assumed prior knowledge:** Linear Algebra, Calculus in One Variable, Calculus in Several Variables.

**Course coordinator:** Pontus Giselsson `<pontus.giselsson@control.lth.se>`**Web page:** http://www.control.lth.se/course/FRTN25/