Checking date: 18/04/2023

Course: 2023/2024

Control Engineering II
Bachelor in Industrial Technologies Engineering (Plan: 418 - Estudio: 256)


Department assigned to the subject: Systems Engineering and Automation Department

Type: Electives
ECTS Credits: 6.0 ECTS


Requirements (Subjects that are assumed to be known)
The students to join this subject must have pass Control Engineering I
By the end of this subject, students will be able to have: 1. A systematic understanding of the key aspects and concepts of the design of discrete controllers through their analysis in the time (state space) and frequency (transfer function) domains. 2. Coherent knowledge of their branch of engineering including some at the forefront of the branch in control engineering. 3. The ability to apply their knowledge and understanding of control engineering to identify, formulate and solve engineering problems using established methods for the time and frequency analysis of discrete control systems. 4. The ability to apply their knowledge and understanding to develop and realise designs of discrete controllers to meet defined and specified requirements. 5. An understanding of design methodologies for discrete controllers, and an ability to use them. 6. Workshop and laboratory skills to implement discrete controllers in real platforms. 7. The ability to select and use appropriate equipment, tools and methods for the design and implementation of discrete controllers. 8. The ability to combine theory and practice to solve problems related to the design and implementation of discrete controllers. 9. An understanding of applicable techniques and methods in control engineering, and of their limitations.
Skills and learning outcomes
CB1. Students have demonstrated possession and understanding of knowledge in an area of study that builds on the foundation of general secondary education, and is usually at a level that, while relying on advanced textbooks, also includes some aspects that involve knowledge from the cutting edge of their field of study CB2. Students are able to apply their knowledge to their work or vocation in a professional manner and possess the competences usually demonstrated through the development and defence of arguments and problem solving within their field of study. CB3. Students have the ability to gather and interpret relevant data (usually within their field of study) in order to make judgements which include reflection on relevant social, scientific or ethical issues. CB5. Students will have developed the learning skills necessary to undertake further study with a high degree of autonomy. CG1. Ability to solve problems with initiative, decision-making, creativity, critical reasoning and to communicate and transmit knowledge, skills and abilities in the field of Industrial Engineering. CG3. Ability to design a system, component or process in the field of Industrial Technologies to meet the required specifications CG4. Knowledge and ability to apply current legislation as well as the specifications, regulations and mandatory standards in the field of Industrial Engineering. CG5. Adequate knowledge of the concept of company, institutional and legal framework of the company. Organisation and management of companies. CG6. Applied knowledge of company organisation. CG8. Knowledge and ability to apply quality principles and methods. CG9. Knowledge and ability to apply computational and experimental tools for the analysis and quantification of Industrial Engineering problems. RA1. Knowledge and understanding: Have basic knowledge and understanding of science, mathematics and engineering within the industrial field, as well as knowledge and understanding of Mechanics, Solid and Structural Mechanics, Thermal Engineering, Fluid Mechanics, Production Systems, Electronics and Automation, Industrial Organisation and Electrical Engineering. RA2. Engineering Analysis: To be able to identify engineering problems within the industrial field, recognise specifications, establish different resolution methods and select the most appropriate one for their solution RA3. Engineering Design: To be able to design industrial products that comply with the required specifications, collaborating with professionals in related technologies within multidisciplinary teams. RA4. Research and Innovation: To be able to use appropriate methods to carry out research and make innovative contributions in the field of Industrial Engineering. RA5. Engineering Applications: To be able to apply their knowledge and understanding to solve problems and design devices or processes in the field of industrial engineering in accordance with criteria of cost, quality, safety, efficiency and respect for the environment. RA6. Transversal Skills: To have the necessary skills for the practice of engineering in today's society.
Description of contents: programme
The programme is composed of the following parts: First Part: 1. Z Transform. 1.1 Modelling of a discrete-time system. 1.2 Differences equations. 1.3 Z Transform, inverse and properties. 1.4 Differences equation solution. 2. Obtaining the Transfer Function. 2.1 Hold and Sampler. 2.2 Obtaining the transfer function in the z domain. 2.3 Sampling theorem. 3. Stability analysis. 3.1 Stability analysis in the z plane. 3.2 s and z planes 3.3 Jury stability test. 3.3 Root locus in the z plane. 3.4 Analysis of the system response. 4. Discretization of continuous systems. 4.1 Discretization of a continuous system. 4.2 Equivalent discrete transfer function. 4.3 Sampling a transfer function. 4.4 Discretization of an analogic controller. 5. Design of PID Controllers. 5.1 PID controllers in discrete time. 5.2 Discretization of an analogic PID controller. 5.3 Obtaining the sampling time. 5.4 Design of PID controllers by the root locus method. 5.5 Structure of a real discrete PID. 6. Design of controllers by direct synthesis. 6.1 Design of controllers by direct synthesis. 6.2 Restrictions: physically possible and stability. 6.3 Simplicity. Second Part: 7. Modelling and analysis of systems in the state space. 7.1 Introduction to the state space. 7.2 Dinamic systems. 7.3 Linearization and invariance. 7.4 Linearization process. 7.5 Representations in the state space. 7.6 Equivalences between systems. 7.7 Obtaining the state space model. 7.8 Transformations between representation. 7.9 Obtaining the transfer function from the state space model. 8. Solution of the state space equation. 8.1 Transition matrix. 8.2 Calculation of the transition matrix. Properties. 8.3 Solution of the state space equation in discrete time. 9. State Feedback Control. 9.1 Controllability and observability. 9.2 Complete controlability of the states. 9.3 Complete controlability of the output. 9.4 Complete observability of the states. 9.5 Invariance of the controlability and observability through transformations. 9.6 State feedback control: positioning poles. 9.7 Pole position adjustment in closed loop. 9.8 Gain adjustment. 9.9 Modification of the type of a system. 10. Design of states observers. 10.1 Concept of state observer. 10.2 Conditions for the state observation. 10.3 Full-order state observer. 10.4 Error dynamics in the full-order state observer. 10.5 Design of the feedback gains matrix of the observer. 10.6 Dynamics of the combined system with a full-order observer and a state feedback matrix. 10.7 Minimum-order observer.
Learning activities and methodology
This course is composed of different activities: 1. Lectures. Main concepts (explanation and discussion). Different units in slides with the theoretical concepts. 2. Seminars. Various problems will be proposed for each unit. The solutions will be given after the seminars. 3. Lab sessions. Three practical cases will be proposed in each lab session (groups of 2-3 students). Before the lab session, a problem will be given to be solved before that session. A report about the work in the lab must be prepared after the session.
Assessment System
  • % end-of-term-examination 0
  • % of continuous assessment (assigments, laboratory, practicals...) 100
Calendar of Continuous assessment
Basic Bibliography
  • DeRusso, P.M.; Roy, R.J. and Close, C.M.. State Variables for Engineers. Wiley. 1965
  • Martín, F.. Problemas de Ingeniería de Control para Sistemas Discretos. CopyRed.
  • Moreno, L.; Garrido, S. y Balaguer, C.. Ingeniería de Control. Ariel.
  • Ogata, K.. Discrete-Time Control Systems. Prentice Hall.
Additional Bibliography
  • Franklin, G.F; Powell, J.D. y Workman, M.. Digital control of dynamic systems. Addison Wesley. 1998

The course syllabus may change due academic events or other reasons.

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