Prerequisite/Recommended prerequisite for participation in the module

Linear algebra, Calculus, Mathematics, Basic electrical engineering

Content, progress and pedagogy of the module

Purpose
To offer students with systematic and fundamental knowledge of feedback control theory, including the classical (transfer function based) and modern (state space based) control methods. After this course, students are able to formulate the control design problem; analyse the open & closed loop systems’ features and performances; commit a proper control design by following either classical or modern or both control design methods; implement the designed solution in a digital manner and verify the design through experiment.

Learning objectives

Knowledge

• Must have insight of the transfer function description and state space description from a control development point of view
• Must have insight of the system’s characteristics with the correlation of system's dynamic and stationary behaviours, including the impact of system type and order, as well as poles and zeros and their influence on the system response
• Must have insight of typical classical control design methods, including the PID tuning, root locus method, and frequency design methods
• Must have an understanding of a system's frequency response characteristics, including open-loop and closed-loop perspectives
• Must be able to commit system’s stability analysis and determine the stability margins
• Must have an understanding of fundamental system property analysis based on state space description, i.e., controllability, observability, stability and robustness
• Must have insight into typical modern control design techniques, including full state feedback control, observer design, and observer-based feedback control
• Must have an understanding of basic optimal control methods, such as LQR control.  
• Must have insight into implementation of developed controllers

Skills

• Shall be able to analyse the concerned system static and dynamic features based on both transfer function description and state space description
• Shall be able to commit a control problem formulation, analysis, design, implementation and validation based on a concerned regulation problem and system, by using both classical and modern control design methods
• Shall be able to develop and tune a PID type of controller and analyse the consequence to the controlled system
• Shall be able to design a type of feedback controller based on the state space model, and analyse the influence to the open-loop and closed loop systems characteristics
• Shall be able to discuss and implement the developed controller in a correct and reliable digital manner

Competences

• Must have gained the ability to translate academic knowledge and skills within the fields of basic modelling and control engineering to a practical problem, which can be formulated and solved
• Are able to design a control system, such that the system can be used to solve the problem formulated above
• Possesses the ability to design and implement algorithms for the concerned control problem.

Type of instruction

The programme is based on a combination of academic, problem-oriented and interdisciplinary approaches and organised based on the following work and evaluation methods that combine skills and reflection: • Lectures • Classroom instruction • Project work • Workshops • Exercises (individually and in groups) • Teacher feedback • Reflection • Portfolio work

Extent and expected workload

Since it is a 5 ECTS course module, the work load is expected to be 150 hours for the student.

Exam

Exams

Name of exam	Control Theory
Type of exam	Written or oral examination
ECTS	5
Permitted aids	With certain aids, see list below Unless otherwise stated in the course description in Moodle, it is permitted to bring all kinds of (engineering) aids including books, notes and advanced calculators. If the student brings a computer, it is not permitted to have access to the Internet and the teaching materials from Moodle must therefore be down loaded in advance on the computer. It is emphasized that no form of electronic communication must take place.
Assessment	7-point grading scale
Type of grading	Internal examination
Criteria of assessment	As stated in the Joint Programme Regulations. http:/​/​www.engineering.aau.dk/​uddannelse/​studieadministration/​