Course detail

Control of Nonlinear Systems

FEKT-MPC-RNSAcad. year: 2020/2021

The course deepens the knowledge of Systems Theory and Control Theory I. There are presented linearization method and engineering methods for synthesis of both continuous and discrete control systems. Nonlinear systems are analyzed by the phase plane method and harmonic linearization. The exercises are applied MATLAB, Simulink Toolbox CONTROL .

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

Ing. Petr Huták, Ph.D.

Department

Department of Power Electrical and Electronic Engineering (UVEE)

Learning outcomes of the course unit

Passed student is qualified:
- to apply mathematical description of nonlinear dynamic systems in MATLAB SIMULINK
- to calculate by linearization of nonlinear systems and applies it in MATLAB SIMULINK
- to desingn a regulation for continuous nonlinear systems (DC motor with separate excitation, asynchronous motor)
- to apply the phase plane in solving discrete nonlinear systems, in particular relay controllers
- to analyze discrete systems using harmonic linearization
- to desingn a simple fuzzy controller PSD (Simulink)

Prerequisites

student must be able to:
- Apply differential equations for electromechanical systems in both the time domain and in the operator's shape
- The theory of linear systems, ie, the transfer function, state matrix, feedback systems - analysis (accuracy, stability), the synthesis of PID controller
- Operate the software tool MATLAB SIMULINK

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Course curriculum

1 Nonlinear dynamic systems
2. Linearization of the model. The solution to your computer.
3. Synthesis of complex regulatory systems.
4. State space control with observer.LQR regulators.
5. Discrete control and computer realization
6. The state space model of synchronous and asynchronous motor.Vector control.
7. Adaptive control
8. Model reference adaptive control
9. Method of phase plane.
10. Relay controllers
11. Controllers in sliding mode.
12. Method of harmonic linearization.
13. Fuzzy control

Work placements

Not applicable.

Aims

The theoretical preliminary for courses of Elektrical drives.

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

Not applicable.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Zboray L., Ďurkovský F.:Stavové riadenie elektrických pohonov,FEI Košice 1995 (CS)
Skalický, J.: Stavové řízení el. pohonů, skripta FEKT, 2009 (CS)

Recommended reading

Astrom, Wittenmark: Adaptive Control, (CS)
Ioannou, Jing Sun: Robust Adaptive Control (CS)

eLearning

eLearning: currently opened course

Classification of course in study plans

  • Programme MPC-SVE Master's, 2. year of study, winter semester, compulsory-optional

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

Ing. Petr Huták, Ph.D.

Exercise in computer lab

26 hours, compulsory

Teacher / Lecturer

Ing. Petr Huták, Ph.D.

eLearning

eLearning: currently opened course