Syllabus academic year 2007/2008

Higher education credits: 6. Grading scale: TH. Level: G2 (First level). Language of instruction: The course will be given in Swedish. FRT110 overlap following cours/es: FRT010, FRT081, FRT010 och FRT081. Compulsory for: N2, W3. Optional for: RH4. Course coordinator: Dr. Charlotta Johnsson, och Professor Karl-Erik Årzén,, Inst f reglerteknik. Recommended prerequisits: Mathematics courses corresponding to FMA430, Physics courses corresponding to FAF107 or 160, Matlab. The course might be cancelled if the numer of applicants is less than 10. Assessment: Written exam (5 hours), hand-in problems, laboratory exercises. Accepted hand-in problems and laboratory exercises are sufficient for grade 3. Home page:

The course is mandatory for students in year 2 of the Engineering Nano-Science progamme (N) and year 3 of the Environmental Engineering programme (W). The aim of the course is to give an overview of systems engineering, in particular control engineering, and its concepts, methods, and application areas. The course also develops the skills in using computer-based analysis and simulation tools.

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 operate 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 an atomic energy microscope 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

Skills and abilities
For a passing grade the student must

Judgement and approach
For a passing grade the student must

The course gives insight in the use of systems engineerings-based analysis methods and dynamical models for feedback systems. It also provides tools for the design of simple controllers.

Important areas are mathemical models of simple control loops and analysis of their dynamics. Computer tools are used for analysis, synthesis, and implementation.

Lectures: Introduction to transient responses and feedback; Basic modelling and analysis of the dynamics of both natural and engineering processes; Analysis of the properties of simple control loops; Concepts and tools for analysis of dynamical systems, e.g., linearisation, the solutions to differential equations, and stability.

The course contains computer-based exercises and laboratory experiments on real model processes.

Course modules: Introduction, Modelling, Dynamical systems, Feedback, PID design, Controller structures, Frequency domain analysis

Feedback Systems, an Introduction to Scientists and Engineers, Karl Johan Åström and Richard Murray