Course Details

Course Information Package

Course Unit CodeAEEE543
Course Unit DetailsMSc Electrical Engineering (Required Courses) -
Number of ECTS credits allocated7
Learning Outcomes of the course unitBy the end of the course, the students should be able to:
  1. Review the definition and properties of the Z-transform. Derive the difference equations of digital systems.
  2. Derive the state-space representations for discrete-time systems. Perform the solution of the state equations of digital control systems. Evaluate the state transition matrix and solve the time response between sampling instances.
  3. Use the principles of discrete linear system theory to analytically design a discrete PID controller and explain how a discrete controller can be implemented via the linear difference equation.
  4. Judge the stability of digital systems.
  5. Apply controllability, observability principles and stability principles via Lyapunov’s second method.
  6. Design of linear feedback control systems using full and partial state feedback controller design, pole placement, full and reduced-order observers and dead-beat control.
Mode of DeliveryFace-to-face
Recommended optional program componentsNONE
Course Contents

Z-transform: Review of Z-transform; definition, properties, solution of difference equations.

State space representation of digital systems: Introduction to state space representation of digital systems: Derivation of state-space representations for discrete-time systems, solution of the state equations, evaluation of the state transition matrix, time response between sampling instances.

Digital controllers: Digital controllers, definition, properties and design.

Stability analysis of discrete systems.

Controllability and Observability: Controllability, observability and stability via Lyapunov’s second method. Pole placement, full and partial state feedback controller design, design, full and reduced-order observers, dead-beat control. Introduction to quadratic optimal control and regulator design.


Recommended and/or required reading:
  • G. F Franklin, J.D. Powel, and M.L. Workman, “Digital Control of Dynamic Systems”, Prentice Hall, 3 Ed., 1997.
  • I.D. Landau and G. Zito, “Digital Control Systems: Design, Identification and Implementation (Communications and Control Engineering)”, Springer, 2006.
  • K. Ogata, “Discrete time control systems”, Prentice Hall, 1995.
Planned learning activities and teaching methods

Students are taught the course through lectures (3 hours per week) in classrooms or lectures theatres, by means of traditional tools or using computer demonstration.

Auditory exercises, where examples regarding matter represented at the lectures, are solved and further, questions related to particular open-ended topic issues are compiled by the students and answered, during the lecture or assigned as homework.

Topic notes are compiled by students, during the lecture which serve to cover the main issues under consideration and can also be downloaded from the lecturer’s webpage. Students are also advised to use the subject’s textbook or reference books for further reading and practice in solving related exercises. Tutorial problems are also submitted as homework and these are solved during lectures or privately during lecturer’s office hours. Further literature search is encouraged by assigning students to identify a specific problem related to some issue, gather relevant scientific information about how others have addressed the problem and report this information in written or orally.

Students are assessed continuously and their knowledge is checked through tests with their assessment weight, date and time being set at the beginning of the semester via the course outline.

Students are prepared for final exam, by revision on the matter taught, problem solving and concept testing and are also trained to be able to deal with time constraints and revision timetable.

The final assessment of the students is formative and summative and is assured to comply with the subject’s expected learning outcomes and the quality of the course.

Assessment methods and criteria
Final Exam60%
Language of instructionEnglish
Work placement(s)NO

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