Control Theory (FSI-9TAR)

Academic year 2021/2022

Supervisor:	doc. Ing. Ivan Švarc, CSc.
Supervising institute:	ÚAI	all courses guaranted by this institute
Teaching language:	Czech or English
Aims of the course unit:
...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.
Learning outcomes and competences:
...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:
Essential principles of automatic control, logical control and PLC systems. The differential equations of control systems, transient response, frequency analysis, stability of systems.
Course contents:
The aim of the course is to provide the Ph.D. 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 fourth part of the course. The fifth part of the course presents the state variable description of linear systems. The State Differential Equation. Relationship between State Equations and Differential Equations. State Equations of Linear Discrete Systems. The sexth part of the course presents nonlinear control systems. Phase plane method. Stability analysis of Nonlinear Control Systems.
Teaching methods and criteria:
The course is taught through lectures explaining the basic principles and theory of the discipline.
Assesment methods and criteria linked to learning outcomes:
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.
Controlled participation in lessons:
No.
Type of course unit:
Lecture	10 × 2 hrs.	optionally
Course curriculum:
Lecture	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 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 Multiple – loop control systems Multivariable control systems Discrete control - Discrete control system - Z-transform - Difference equation - Mathematical description of discrete systems - Discrete controllers - Stability of digital control systems Robust control systems State-Space Representation of a Dynamic System. Introduction - The State Variables of a Dynamic System - The State Differential Equation. Signal-Flow Graph State Models - The Transfer Function from the State Equation - Relationship between State Equations and Differential Equations - Solving the Time-Invariant State Equation Analysis and Design Methods for Nonlinear Systems. Introduction - Typical nonlinearities. The general approach to analysis - Phase plane method - Stability analysis of Nonlinear Control Systems - Lyapunov Stability. - Method of Linearization, Lyapunov Direct Method, Popov Criterion

Literature - fundamental:
1. Ogatha,K.: Modern Control Engineering, Prentice Hall , fourth edit...
2. Schwarzenbach,J.-Gill,F.K.: System Modelling and Control, Butterwo...
3. Vegte, V.D.J.: Feedback Control Systems, Prentice-Hall, New Jerse...
4. Levine, W.S. (1996) : The Control Handbook, CRC Press, Inc., Boca...
Literature - recommended:
1. Švarc,I.:: Automatizace-Automatické řízení, skriptum VUT FSI v Brn...
2. Švarc,I.: Teorie automatického řízení, podpory FSI, www stránky fa...