## CONTROL SYSTEMS (CCE)

 SHE Level 3 SCQF Credit Points 20.00 ECTS Credit Points 10.00 Module Code M3H624735 Module Leader Martin MacDonald School School of Computing, Engineering and Built Environment Subject SCEBE - School Office Trimesters A (September start) B (January start)

### Summary of Content

The aim of this module is the provision of a detailed foundation in classical control systems from little background. The use of mathematical techniques is kept to a minimum whilst aiming at an understanding of control systems that extends beyond merely qualitative ideas.

### Syllabus

The teaching syllabus will cover the following areas: Mechanical, Electrical and Electro-mechanical Systems: System elements - R, L, C, sources, operational amplifiers. Mass, spring and dashpot elements. Input/output Relationships: The concept of transfer functions, zero-input response and zero-state response. Block diagram representation and manipulation. Frequency Response Presentation: Nyquist diagrams, Bode plots. Relative Stability: Gain margin and phase margin, maximum resonant gain, etc. PID controller: transfer functions, applications and tuning methods. System Analysis: Transfer function simplification. Analysis of simple and non-simple systems in terms of response to standard inputs.

### Learning Outcomes

On completion of this module the student should be able to:-1. Explain various classical techniques for solving problems related to control systems (AM1)2. Analyse mechanical, electrical and electro-mechanical systems in terms of differential equations, developing transfer functions, block diagram reductions particularly first / second order systems (AM1, AM4,AM5)3. Define poles and zeros of a system and determine these from either the system differential equation or from the transfer function (AM1).4. Explain concept of stability and analyse various classes of stability (AM1, AM4).5. Design and Analyse frequency response in Nyquist/Polar diagrams and Bode plots (AM1, AM4)7. Analyse the concept of system error, error coefficients and determine these from transfer functions (AM4)8. Explain the concepts of controllers used in engineering - P, I and D combinations (AM1, AM4).

### Teaching / Learning Strategy

Reading assignments, practical exercises and computer-aided learning materials will be used to supplement lectures, tutorials and laboratory work.

W. Bolton. (1998) Control Engineering 2E Longman 0-582-32773-3 Norman S. Nise. (2011) Control system Engineering 6 th Edition, Wiley

### Transferrable Skills

Development of problem solving, numerical analysis and control system design methods.

### Module Structure

Activity Total Hours
Practicals (FT) 28.00
Lectures (FT) 56.00
Independent Learning (FT) 100.00
Assessment (FT) 16.00

### Assessment Methods

Component Duration Weighting Threshold Description
Coursework 1 n/a 30.00 35% Practical Design exercises with Lab Report of 2000 words
Exam (Exams Office) 3.00 50.00 45% Final Examination - Unseen written examination-3 Hours
Exam (School) 1.50 20.00 35% Mid-term test - Unseen written examination-1½ Hours