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Discrete and Digital Control

Code 11215
Year 1
Semester S1
ECTS Credits 6
Workload PL(15H)/T(30H)/TP(15H)
Scientific area Informatics, Automation and Control
Entry requirements Basic knowledge of the calculus (acquired in curricular unit of Calculus III) analysis and processing of signals (acquired in curricular units of Digital Systems, Signal Analysis, Signal and image Processing, and Circuit Analysis), systems and control (of the Control Systems curricular unit) and data acquisition.
Mode of delivery Face-to-face
Work placements Not applicable
Learning outcomes This Course Unit aims to introduce the modeling techniques, stability analysis techniques, and the response time and frequency characteristics of discrete and digital systems. Also are introduced the design methods of digital controllers to meet the required specifications.
At the end of the course unit the student should be able to:
- Identify different types of discrete and digital systems;
- Apply the concepts, principles, equations and calculation techniques for modeling discrete systems;
- Identify and compute the characteristics of time and frequency response of discrete systems;
- Use computational tools for modeling, analysis and design of discrete systems;
- Implement design methods of discrete control systems;
- Get involved actively in this area stimulating solutions but also in technical and project levels.
Syllabus 1. Introduction
2. Discrete signals and systems: Transformation methods and z transform.
3. Sampling and Reconstruction: Samplers and Signal Reconstruction
4. Open Loop Systems
4.1. Transfer function
4.2. Digital filters
4.3. The modified z transform
5. Closed Loop Systems
5.1 Transfer Function
5.2 Basic concepts and derivation procedure
5.3 State variable models
6. Time response characteristics of discrete systems
6.1. Time response and Characteristic equation
6.2. Mapping s-domain into z-domain
6.3. Accuracy
6.4. Simulation
7. Methods for stability analysis in z domain
7.1. Stability analysis
7.2. Routh-Hurwitz’s criterion and Jury’s stability test
7.3. Root Locus
7.4. Bode diagrams
8. Design of digital controllers
8.1. Control system specifications
8.2. Compensation
8.3. PID controllers design
8.4. Design supported by approximation in Root Locus
Main Bibliography 1. Primary:
- S. Charles, L. Phillips and Troy Nagle Aranya Chakrabortty, Digital Control System Analysis & Design, Pearson, Boston, MA, USA, 2015.
- K. J. Astrom, B. Wittenmark, Computer-Controlled Systems: Theory and Design – 3rd Edition, Prentice-Hall, 2011.
- Gaspar, P.D., "Apontamentos de Controlo Discreto e Digital", Universidade da Beira Interior, 2010.
- Farid Golnaraghi and B. C. Kuo, “Automatic Control Systems,” 9th Edition, Prentice Hall, 2010.
- Dorsey, John, “Continuous and Discrete Control Systems: Modeling, Identification, Design, and Implementation – 1st Ed.”, McGraw Hill, 2002.
- Ogata, K., “Engenharia de Controlo Moderno – 5ª Ed.”, Pearson, 2010.
- Nise, Norman S., “Control Systems Engineering – 2nd Ed.”, Addison-Wesley, 1995.

2. Secondary:
- Van de Vegte, J., “Feedback Control Systems”, Prentice Hall, 1993.
- Houpis, C.H., Lamont, Gary B., “Digital Control Systems: Theory, Hardware, Software”, McGraw Hill, 1991.
Language Portuguese. Tutorial support is available in English.
Last updated on: 2022-03-28

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