Course detail

Control Theory I

FSI-VA1Acad. year: 2010/2011

The aim of the course is to provide the students with the sufficient knowledge of control theory.
The first and the second part of the course presents the various principles and techniques used in the analysis and design of linear continuous feedback control systems. Essential principles of automatic control, logical control and PLC systems, linear controllers, control loops, transient response, frequency analysis, stability of systems, controller design.
The third part of the course presents multiple – loop control systems and the fourth part contains multivariable control systems. The principles of digital control, sampling process, Z-transform, difference equations, frequency response methods, stability of digital systems are in the fifth part of the course. The last part containts the foundations of robust control of digital systems.

Language of instruction

Czech

Number of ECTS credits

7

Mode of study

Not applicable.

Guarantor

prof. RNDr. Ing. Miloš Šeda, Ph.D.

Department

Institute of Automation and Computer Science (ÚAI)

Learning outcomes of the course unit

...Analysis and design of linear continuous-time and discrete feedback control systems. Students will obtain the basic knowledge of automation, description and classification of control systems, determination of their characteristics. Students will be able to solve problems of stability of control systems.

Prerequisites

...Fundamental concepts of the course "Automation" (6AA): Essential principles of automatic control, logical control and PLC systems. The differential equations of control systems, transient response, frequency analysis, stability of systems.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

...In order to be awarded the course-unit credit students must prove 100% active participation in laboratory exercises and elaborate a paper on the presented themes. The exam is written and oral. In the written part a student compiles two main themes which were presented during the lectures and solves three examples. The oral part of the exam will contain discussion of tasks and possible supplementary questions.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

...Goals of the course: The aim of the course is to formulate and establish basic conceptions of automatic control, computational models, theories and algorithms of control systems.

Specification of controlled education, way of implementation and compensation for absences

...Attendance and activity at the seminars are required. One absence can be compensated for by attending a seminar with another group in the same week, or by the elaboration of substitute tasks. Longer absence can be compensated for by the elaboration of compensatory tasks assigned by the tutor.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Švarc, I., Matoušek, R., Šeda, M., Vítečková, M.: Automatizace-Automatické řízení, skriptum VUT FSI v Brně, CERM 2011. (CS)
Švarc, I.: Teorie automatického řízení, podpory FSI, www stránky fakulty 2003. (CS)

Classification of course in study plans

  • Programme N2301-2 Master's

    branch M-AIŘ , 1 year of study, winter semester, compulsory
    branch M-AIŘ , 1 year of study, winter semester, compulsory

Type of course unit

 

Lecture

39 hod., optionally

Teacher / Lecturer

doc. Ing. Ivan Švarc, CSc.

Syllabus

Week 1-2: Logical control
- logical functions
- Boolean algebra
- expression of Boolean functions
- minimization of logical functions
- realization of logical functions through elements NAND
and NOR
- logical control circuits
- sequence logic circuits
- programmable logic controller
Week 3-6: Continuous linear control
- Laplace transform
- differential equation of system and transfer function
- impulse and transient response
- frequency response and characteristic
- transport delay
- block diagrams of control systems
- controllers
- stability of linear feedback systems
- design of controllers
Week 7-8: Multiple – loop control systems
Week 9: Multivariable control systems
Week 10-11: Discrete control
- Discrete control system
- Z-transform
- Difference equation
- Mathematical description of discrete systems
- Discrete controllers
- Stability of digital control systems
Week 12-13: Robust control systems

Exercise

14 hod., compulsory

Teacher / Lecturer

Ing. Olga Davidová, Ph.D.

Syllabus

Seminars to the previous lecture:
--------------------------------------
Week 1: Introduction
Week 3: Logical control (logical functions, Boolean algebra, expression of Boolean functions, minimization of logical
........ functions, realization of logical function through elements NAND and NOR, logical control circuit, programmable
....... logic controller)
Week 5 and 7: Continuous linear control (Laplace transform, differential equations of system and transfer function,
............ impulse and transient response, frequency response and characteristic, dead time, block diagrams of control
............ systems, controllers, stability of linear feedback systems, design of controllers)
Week 9: Multiple – loop control systems. Multivariable control systems.
Week 11: Discrete control (discrete control system, Z-transform, difference equation, mathematical description of
..........discrete systems, discrete controllers, stability of digital control systems)
Week 13: Robust control systems

Computer-assisted exercise

12 hod., compulsory

Teacher / Lecturer

Ing. Olga Davidová, Ph.D.

Syllabus

Seminars in the laboratory:
-------------------------------
Week 2: Simulation of results given by algebraic methods
Week 4: Simulation of logic control systems
Week 6: Simulation of continuous control systems
Week 8: Simulation of discrete control systems
Week 10: Simulation of multiple – loop and multivariable control systems.
Week 12: Simulation of robust control systems