Course detail
Control of Nonlinear Systems
FEKT-MPC-RNSAcad. year: 2025/2026
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
Entry knowledge
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
- 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
Rules for evaluation and completion of the course
Not applicable.
Aims
The theoretical preliminary for courses of Elektrical drives.
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)
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)
Study aids
Not applicable.
Prerequisites and corequisites
Not applicable.
Basic literature
Skalický, J.: Stavové řízení el. pohonů, skripta FEKT, 2009 (CS)
Zboray L., Ďurkovský F.:Stavové riadenie elektrických pohonov,FEI Košice 1995 (CS)
Zboray L., Ďurkovský F.:Stavové riadenie elektrických pohonov,FEI Košice 1995 (CS)
Recommended reading
Astrom, Wittenmark: Adaptive Control, (CS)
Ioannou, Jing Sun: Robust Adaptive Control (CS)
Ioannou, Jing Sun: Robust Adaptive Control (CS)
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 hod., optionally
Teacher / Lecturer
Syllabus
- Stavový popis dynamických systémů .
- Nelineární dynamické systémy.
- Linearizace nelineárních soustav.
- Stavová regulace.
- Stavová regulace s pozorovatelem. LQR regulátory.
- Syntéza rozvětvených regulačních systémů.
- Číslicové regulační obvody.
- Reléové regulátory
- Metoda fázové roviny.
- Metoda harmonické linearizace.
- Regulátory v klouzavém režimu.
- Fuzzy regulace
Exercise in computer lab
26 hod., compulsory
Teacher / Lecturer
Syllabus
- Stejnosměrný motor s cizím buzením. Stavový model a jeho linearizace.
- Stavové řízení pohonu s využitím kompenzace poruchy.
- Regulace s využitím pozorovatele. Syntéza LQR regulátorů.
- Stavový model asynchronního motoru, vektorové řízení.
- Model levitačního elektromagnetu, linearizace modelu.
- Regulace levitačního elektromagnetu na konstantní polohu.
- Simulace rozvětvených regulačních systémů. Systémy s předkorekcí.
- Regulační systémy s využitím modelu soustavy.
- Reléové regulátory, fázové trajektorie.
- Reléové regulátory, metoda harmonické linearizace.
- Regulátory v klouzavém režimu.
- Fuzzy regulace.