Aim
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

Skills and abilities
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

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 ability for teamwork and group collaboration in laboratory exercises

Contents
Course modules:

• Introduction

• Modelling

• Dynamical systems

• Feedback

• PID design

• Controller structures

• Frequency domain analysis

• Systems with multiple inputs and outputs

• Sequence control

Literature
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