Course detail

Control Theory II

FSI-GT2Acad. year: 2017/2018

This course presents the basics of advanced methods of control theory for LTI systems. Main parts are the state-space controllers. Part of e-learning documents describes also other types of controllers (i.e. quadratic controller, robust controller).

Learning outcomes of the course unit

Students will learn advanced methods of feedback control theory by state-space controllers, which is actively used in advanced commercial control systems and will be able to understand the approaches used in technical practice of state-space feedback control.


Knowledge of basic terminology in the field of automation. Orientation in field of matrix algebra, differential and integral calculus, differential equations included. Knowledge of software Mathworks Matlab or Wolfram Mathematica.



Recommended optional programme components


Recommended or required reading

OGATA, Katsuhiko. Modern control engineering. 5th ed. Boston: Prentice-Hall, c2010. ISBN 978-0136156734.
NISE, Norman S. Control systems engineering. Seventh edition. ISBN 978-1118170519. (EN)
OGATA, Katsuhiko. Discrete-time control systems. 2nd ed. Englewood Cliffs, N.J.: Prentice Hall, c1995. ISBN 978-0130342812. (EN)
ZILOUCHIAN, Ali. a Mohammad. JAMSHIDI. Intelligent control systems using soft computing methodologies. Boca Raton, FL: CRC Press, 2001. ISBN 978-0849318757.
FRANKLIN, Gene F., J. David POWELL a Abbas EMAMI-NAEINI. Feedback control of dynamic systems. Seventh edition. Boston: Pearson, 2015. ISBN 978-0133496598. (EN)
SKALICKÝ, Jiří. Control theory. Brno: Akademické nakladatelství CERM, 2005. ISBN 80-720-4421-4. (EN)
BEHERA, Laxmidhar a Indrani KAR. Intelligent systems and control: principles and applications. New Delhi: Oxford University Press, 2009. ISBN 978-019-8063-155. (EN)

Planned learning activities and teaching methods

The course is formed and defined by thirteen lectures, which are to introduce basics of the discipline. According opportunities for students will be organized lectures practitioners and field trips to companies engaged in activities related to the course content.

An integral part of course study is an active studying of documents of the course in e-learning system.

Assesment methods and criteria linked to learning outcomes

Examination: Combined - the examination has a written and an oral part. The examination tests the student’s knowledge and his/her ability of practical application.

Language of instruction


Work placements



The aim of this lecture is to lay theoretical foundations of advanced control theory for LTI systems and their use in practice. Next aim is to point out their advantages and disadvantages.

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

There are only 13 lectures. Attendance is required.

Classification of course in study plans

  • Programme M2I-P Master's

    branch M-VSR , 1. year of study, summer semester, 4 credits, elective (voluntary)
    branch M-VSR , 1. year of study, summer semester, 4 credits, elective (voluntary)

Type of course unit



26 hours, compulsory

Teacher / Lecturer


1) Representation of dynamical systems in the state space.
2) Obtaining of the state-space representation of DS - analytical approach - part 1.
3) Obtaining of the state-space representation of DS - analytical approach - part 2.
4) The controllability and observability of the system. The most widely used forms of state space models of dynamical systems and their application.
5) Identification of the technical systems - the method of obtaining state-space model of DS by using measured data.
6) Identification of the technical system - a case study.
7) State-space controllers (compensator and regulator) - definition and properties.
8) Pole-placement method.
9) State-space controller with full order observer - design, properties and applications.
10) State-space controller with minimum order observer - design, properties and applications.
11) The methods of converting of state-space controller and the state-space controller with an observer to the PID (PSD) controllers.
12) State-space controller for servo systems.
13) Case studies, practical observations and discussions.