Discrete Control

Scholar Year: 2019/2020 - 1S

Courses

Head Teacher Responsability João Miguel Guerreiro Dias Alves Lourenço Head

Weekly workload Hours/week T TP P PL L TC EL OT TPL THE S Type of classes 3 2 Lectures Type Teacher Classes Hours Theorethical and Practical classes Totals 1 3,00 João Lourenço   3,00 Prática Laboratorial Totals 1 2,00 João Lourenço   4,00

Teaching language

Portuguese

Intended learning outcomes (Knowledges, skills and competencies to be developed by the students)

1-Students should be able to represent and analyze discrete-time control systems in time-domain.
2-Students should be able to understand Sampling and Reconstruction of signals and its limitations
3-Students should be able to design digital controller through emulating continuous time
Controllers.
4-Students should be able to design digital PID controllers and lead and lag compensators.

Syllabus

1-Introduction to Discrete-time control systems: Types of Signals. Discrete-time control systems
2-The Z-transform and its inverse: Z-transform. Theorems of Z-Transforms; The inverse Z–transforms; solution of difference equations
3–Sampling and Reconstruction: The impulse sampler and Zero order hold; Reconstructing signals from
sampling; Shannon's sampling theorem; Aliasing and folding; Pulse transfer function; Block diagrams of
discrete-time control systems
4–Discrete-time systems analysis: Mapping between s-plane and z-plane; Selection of sampling rate;Transient
response analysis. Steady state errors. Stability Analysis in theZ-Plane:Jury stablility test; Bilinear
Transformation and Routh-hurwitz criterion.
5-Design of Discrete-time Control Systems: Root-locus. Emulating continuous-time Controller. Design based on the frequency response and RL methods.Design and tuning of PID controllers. Operational aspects:Bumpless manual and automatic transfer. Windup. Relay feedback PID auto-tuning

Software

Matlab e Simulink

Keywords

Technological sciences > Engineering > Control engineering

Demonstration of the syllabus coherence with the UC intended learning outcomes

The course contents are consistent with the objectives of the course because:
-Sections, Introduction to Discrete-time control systems, Z-transform and its inverse, Sampling and
Reconstruction and Discrete-time systems analysis of the syllabus provide students with the necessary
knowledge to represent and analyze discrete-time control systems in time-domain;
-The Sampling and Reconstruction Section, of the syllabus, allows students to understand the methodology of
sampling and reconstruction of signals and its limitations;
-The Design of Discrete-time Control Systems section, of the syllabus, teaches the students to design digital
controllers by emulation of continuous time Controllers, as well as design of digital PID controllers and lead and
lag compensators.

Teaching methodologies

The theoretical contents of the curricular unit will be presented through lectures.
Students are encouraged to apply the competences acquired through problem-solving classes.
Laboratory activities are used to relate the concepts to practical applications and students are
exposed to hand-on experience, proper use of equipment and also to provide the students with experience on
the use of simulation tools for the computer-aided analysis and controller design of typical dynamic systems. It
also trains students in the analysis and presentation of experimental data and improve the students report
writing skills.In these activities is included the final project where the student has to identify and implement
different control algorithms on a watertank level control system.

Demonstration of the teaching methodologies coherence with the curricular unit's intended learning outcomes

Thes yllabus of the curricular unit will be operated mainly by an expositorymethodology(theoreticalclasses)
supported by problem-solving classes and by the completion of practical activities(laboratoryclasses) that
allow to obtain skills about the basic concepts of ControlSystems. In the laboratory classes is essential to use
simulation tools for the computer-aided analysis and controller design of typical dynamic systems as well as
work with actual equipments in order to achieve the curricular unit's objectives.
The student assessment was designed to measure the extent to which competences were developed.

Assessment methodologies and evidences

Evaluation of students’ performance will be based on the following three categories:
Final Exam -75% of final grade
6 Laboratory Exercises-25% of final grade
Final Project-25% of final grad

Assement and Attendance registers

Primary Bibliography

Secondary Bibliography