Specific Competence FE01: Adquire knowledge and skills for modeling, control and simulation of systems.

Learning Results:

1. Represent any simple physical system according to its differential equation, and from there, obtain both the transfer function and the state equations of state of the same

2. Analyzes and identifies the behavior of a system in both time and frequency domains.

3. It studies and evaluates the stability of a system in the time domain and also in the frequency domain.

4. Design the suitable Proportional Integral Derivative control for a system to cumply the asked specifications.

5. Simulates the operation of any system, verifies and adjusts the parameters of the Proportional Integral Derivative controller so that the system cumplies the asked specifications.

All learning results are observable and controllable, both in written form by solving exercises on paper (exercises, exams) and by solving exercises on computer using the calculation/simulation software MatLab/Simulink (exercises, exams).

The score on each section of each proposed exercise, in the different tests performed, will show the acquired knowledge and learning results of the student, serving as a tool for correction or feed-back in case of unsatisfactory results. For this purpose, all the resolutions of the exercises proposed in the classroom practices (PA), controls (CO), exams (EX) and computer practice (laboratory) test problems (PO), will be published later on the e-Gela platform.

The evaluation of the transversal skill "Working in a multilingual and multidisciplinary environment" will be made with the following learning outcomes:

1. Uses clear, orderly and correct written and spoken language in the practice notebook and reports.

2. Works properly in inclusive, multicultural and multilingual contexts.

Topic 1. Introduction to automatic control. Basic concepts. System concept. Open loop. Closed loop. Disturbances. Historical overview. Classification of systems.

Topic 2. Mathematical models of linear systems. Modelling. Linear dynamic systems. Causality.

Topic 3. External and internal representation of linear systems. Differential equations. Transfer function. Impulse function. Block diagram. Flow diagram. Realisations State equations. Controllability. Observability.

Topic 4. Analysis and time identification of linear systems. Transient regime specifications. Steady-state specifications. First order systems. Second order systems. Higher order systems. Delayed systems

Topic 5. Stability of systems in the time domain. Concept of stability. Routh-Hurwitz criterion. Root locus method.

Topic 6. Analysis and stability of systems in the frequency domain. Frequency response of systems. Graphical representations. Bode diagram. Specifications of the frequency response. Relative stability. Gain margin and Phase margin.

Topic 7. Time and frequency domain controller design and discretisation. Basic control actions. P, PI, PD and PID controllers. Discretisation of continuous time systems and controllers.

Topic 8. Design of controllers for Renewable Energy systems: wind power systems, photovoltaic systems, solar thermal systems, etc. Discretisation of controllers and simulation in MatLab.

The teaching methodology of the new Bachelor's Degrees in Engineering is based on the philosophy of the popular Bologna agreement, which includes, in addition to the hours taught in class (classroom teaching), the hours worked by students outside the classroom (non-classroom teaching). All these working hours are counted in ECTS credits, where 1 ECTS credit is made up of 10 classroom hours plus 15 non-classroom hours.

Classroom teaching consists of lectures (M), classroom practices (PA) and computer practices (PO). Problem-based learning strategies and simulations are used.

In the master classes, the theoretical concepts will be explained, and some exercises will also be carried out for the students to do at home individually.

The Classroom Practicals are structured in seminars related to the topics taught in the master classes (syllabus). The teacher will explain how to do the new exercises and they will do some of the previous seminars to clarify doubts, but above all it is the students who will do the exercises individually and also in groups, where the teacher will help in case of doubts. Exercises that are not completed in class, the students will have to finish at home. After several days, the results of the exercises will be published on the e-Gela platform, so that the students can compare them with their own, and if they have not been able to solve them satisfactorily, they will try to do them again. Finally, a few days later, the complete resolutions of the exercises will be published, explaining all the steps to follow to obtain the solution.

The Computer practice sessions will be carried out using MatLab/Simulink calculation/simulation software, where, on the basis of a script provided by the teacher, they will complete them in the laboratory, carrying out the necessary calculations and simulations in groups. However, students will often have to complete them at home. It will also be explained how to solve the exercises of the lectures and classroom practices by using this tool, which will contribute to the self-learning of the students, being able to correct the exercises independently.

The tutoring hours are used by the students so that the teacher, in his/her office, can resolve any doubts and questions that have not been made clear to them both in the classroom classes and in the non-classroom work hours. In no case are these private classes for people who do not regularly attend the face-to-face classes.

The evaluation will be made according to these two possible cases, where the student's wish to make a continuous evaluation (1) or a final evaluation (2), and the compulsory attendance to the practicals are taken into account:



1) Final exam (EX, 30% of the final mark), control (CO, 30% of the final mark), completion of computer practices (laboratory) and handing in of notebooks and/or work (PO, 20% of the final mark) and deliverable exercises (EN, 20% of the final mark). The transversal competences (TC, 5%) will be assessed in the laboratory notebooks/teamwork. The final mark in this case will be calculated according to the following formula:



Final Mark = 0.3*CO+0.2*PO+0.2*EN+0.3*EX



The individual control (CO) will take place at mid-term and will evaluate the first 4 or 5 topics of the syllabus, where if at least 50% of its maximum value is obtained, it will be possible to choose to take only the second half (the rest of the topics) in the final exam (EX), where at least 50% of its maximum value must also be obtained. Otherwise, the final exam will consist of the entire syllabus of the subject, in which case the percentage of the control will be assigned to the final exam, leaving the formula for the final grade as follows:



Final Mark = 0.2*PO+0.2*EN+0.6*EX



However, due to the continuous nature of the subject, taking the second half of the exam does not imply that the concepts acquired in the first half do not have to be remembered and/or used in the cases or sections in which it is necessary to do so. The deliverable exercises (EN) will consist of problems posed individually to the students to be carried out and handed in to the teacher. There will be two in total, and both must be passed independently (minimum 50%) for the part of the deliverable exercises to be passed. In case of failing one or both of them, the student will have to take the final practical exam. In order to pass the course, a minimum of 50% must be passed in each of the parts that make up the final grade. Even if the grade (Final Grade) is 5 or higher, if in any of the parts the student has not achieved 50%, the grade will appear in the proceedings will be 4.5 Failed. Both the control (CO) and the exam (EX) will basically consist of exercises to be solved, and maybe some theoretical questions.



Students who do not comply with any of the following requirements will not be assessed according to case 1) and will automatically be assessed according to case 2):



- Failure to regularly attend the practicals (minimum 90%).



- Failure to take all the tests that form the final grade during the teaching weeks.



Those who voluntarily do not wish to be assessed according to case 1) and wish to be assessed according to case 2), have the right to do so as long as they request it in writing to the lecturer responsible for the subject, at least 1 month before the end of the teaching period of the four-month period (article 12, section 2. of the Regulations on the Assessment of students in official undergraduate degrees, 19/02/2020).



Those who hinder or obstruct the normal delivery of classes (by not being quiet, by being late repeatedly, etc.), after two warnings, will no longer be allowed to attend class and will be directly assessed according to case 2).



2) Final exam, which will consist of a theoretical part (EX, 70% of the final mark) and a practical part (EP, 30% of the final mark). This case will be applied to those who do not attend class (free enrolments) and also for students who do not regularly attend the different types of teaching. The final mark will be calculated using the following formula:



Final Mark = 0.7*EX+0.3*EP



Even if the grade (Final Grade) is 5 or higher, if in any of the parts the student has not achieved 50%, the grade will appear in the proceedings will be 4.5 Failed.



In the case of continuous assessment, case 1), the student must write to the lecturer who teaches the subject, at least one month before the end of the teaching period of the subject, stating "Not presented". In the case of final assessment, case 2), failure to sit the final official exam will result in the automatic waiver of the corresponding exam session, indicating "Not presented", (article 12, points 2. and 3. respectively, of the Regulations Governing Student Assessment in Official Undergraduate Degrees, 19/02/2020).

Various documents provided through the e-Gela platform: course notes, seminar exercises, practice scripts, etc.

Basic bibliography

-E. Jacob. "Regulación Automática y Control. Apuntes". Servivio de Publicaciones de la Escuela de Ingeniería de Eibar UPV/EHU, 2016.

-J. J. Distefano. "Retroalimentación y Sistemas de Control". McGraw Hill.

-A. Tapia. “Erregulazio automatikoa”. Elhuyar, 1995.

-E. Umez-Eronini. "Dinámica de sistemas y control". Thomson Learning, 2001.

-A. Gilat. "MatLab, una introducción con problemas prácticos". Editorial Reverté, 2006.

-A. Moreno. "MatLab y la Control System Toobox". RA-MA Editorial, 1999.

-O. Barambones. "Sistemas Digitales de Control". Servicio de Publicaciones de UPV/EHU, 2004.

In-depth bibliography

-B. C. Kuo. "Sistemas de Control Automático". Prentice-Hall.
-K. Ogata. "Ingeniería de Control Moderna". Prentice-Hall
-K. Ogata. "Design linear control system with MatLab". Prentice Hall, 1999.
-Sintonización de PID de forma sencilla, http://www.mathworks.es/company/events/webinars/
-Diseño de un aerogenerador con Model Based-Design, http://www.mathworks.es/company/events/webinars/

Journals

-Automática e Instrumentación, http://www.biblioteka.ehu.es/