Czech

4

Ing. Jiří Kovář, Ph.D.

Institute of Production Machines, Systems and Robotics

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.

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.

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.

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.

;There are only 13 lectures. Attendance is recommended.

Programme M2I-P: Mechanical Engineering, Master's
branch M-VSR: Production Machines, Systems and Robots, elective (voluntary)

26 hours, compulsory

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.