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Discrete Control

Code:

LACI31021

Sigla:

CD

Áreas Científicas
Classificação	Área Científica
OFICIAL	Controlo e Processos

Ocorrência: 2022/2023 - 1S

Ativa?	Yes
Unidade Responsável:	Departamento de Sistemas e Informática
Curso/CE Responsável:

Ciclos de Estudo/Cursos

Sigla	Nº de Estudantes	Plano de Estudos	Anos Curriculares	Créditos UCN	Créditos ECTS	Horas de Contacto	Horas Totais
EACI	47	Plano de Estudos 14	3	-	6	75	162

Língua de trabalho

Portuguese

Objetivos

This course introduces the fundamental concepts,
principles and application of digital control system analysis and design to the students.

Resultados de aprendizagem e competências

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.

Modo de trabalho

Presencial

Pré-requisitos (conhecimentos prévios) e co-requisitos (conhecimentos simultâneos)

It is very important that the students have previously attended the courses of Signals, Systems and Simulation, Applied Mathematics and Systems Control. It is also important to have good knowledge of Matlab/Simulink.

Programa

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

Bibliografia Obrigatória

Charles L. Phillips , H. Troy Nagle; Digital Control System Analysis and Design, Pearson, 2014. ISBN: 1292061227
Gene F Franklin, J. David Powell, Michael Workman; Digital Control of Dynamic Systems, Ellis-Kagle Press, 2019. ISBN: ASIN ‏ : ‎ B08173DHXN

Bibliografia Complementar

Karl J Astrom, Bjorn Wittenmark; Computer-Controlled Systems: Theory and Design, Dover Publications Inc, 2012. ISBN: 9780486486130
Katsuhiko Ogata; Discrete-Time Control Systems, Pearson, 1995. ISBN: 0133286428
Gene F Franklin, J. David Powell, Michael Workman; Digital Control of Dynamic Systems, Pearson Education, 2005. ISBN: 8178088223
Ricardo Fernández del Busto y Ezeta ; Análisis y Diseño de Sistemas de Control Digital, McGraw-Hill Interamericana de España S.L., 2013. ISBN: 6071507731

Métodos de ensino e atividades de aprendizagem

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.

Software

Matlab/Simulink

Tipo de avaliação

Distributed evaluation with final exam

Componentes de Avaliação

Designation	Peso (%)
Trabalho laboratorial	20,00
Teste	80,00
Total:	100,00

Componentes de Ocupação

Designation	Tempo (Horas)
Trabalho escrito	5,00
Estudo autónomo	70,00
Frequência das aulas	75,00
Trabalho laboratorial	10,00
Total:	160,00

Obtenção de frequência

Approval in the subject can be obtained by continuous assessment or by a final exam.
Continuous assessment and final assessment include a written component and a laboratory component (mandatory laboratories).

1 - Continuous Assessment

1. Two Tests (T₁, T₂) with a minimum classification in both of 8.5 values ​​(T1≥8.5 and T2≥8.5);


2. Execution of laboratory work and delivery of the respective reports at the end of the class, and their discussion at a later date. The average of the ratings of the reports must be greater than or equal to 7;

2 - Assessment by Final Exam

1. Final exam with a minimum classification of 8.5 values ​​(E≥8.5);


2. Execution of laboratory work and delivery of the respective reports, at the end of the class, and their discussion at a later date. The average of the ratings of the reports must be greater than or equal to 7;

Student assessment rules

• When requested, it is mandatory to present an identification document during the tests.


• Tests written in ESTSetúbal test/exam notebooks are only accepted.


• Leaving the room can only take place 30 minutes after the start of the test/exam and implies the final delivery of the test, and the delay in entry cannot, under any circumstances, exceed 15 minutes.


• During assessments, calculating machines with graphic or alphanumeric capabilities cannot be used unless the teacher explicitly authorizes it.


• During assessments, the handling or display of mobile phones (which must be turned off) and other electronic equipment is not allowed, and the use of any of this type of equipment is the reason for the cancellation of the race.

Fórmula de cálculo da classificação final

The final grade (NF), which should not be less than 10 for success in the uc, results from the weighted average of the grades obtained in the final exam  or in the tests and in the works of laboratory 

Assessment by Final Exam:
NF=0.8E+0.2NL,
Exam E-Scoring (E≥8.5)
NL-averages of laboratory work classifications (NL ≥7)

Continuous evaluation
NF=0.8(T₁+T₂)+0.2NL,
T1 - 1st test classification (T₁≥8.5)
T2 - Classification of the 2nd test (T₂≥8.5)
NL-averages of laboratory work classifications (NL ≥7)