Publication detail
Contribution to stability analysis of nonlinear control systems
ŠVARC, I.
Czech title
Příspěvek k vyšetřování stability nelineárních řídících systémů
English title
Contribution to stability analysis of nonlinear control systems
Type
journal article - other
Language
en
Original abstract
The Popov criterion for the stability of nonlinear control systems is considered. The Popov criterion gives sufficient conditions for stability of nonlinear systems in the frequency domain. It has a direct graphical interpretation and is convenient for both design and analysis. In the article presented, a table of transfer functions of linear parts of nonlinear systems is constructed. The table includes frequency response functions and offers solutions to the stability of the given systems. The table makes a direct stability analysis of selected nonlinear systems possible. The stability analysis is solved analytically and graphically. Then it is easy to find out if the nonlinear system is or is not stable; the task that usually ranks among the difficult task in engineering practice.
Czech abstract
U Popovova kritéria jsou pro nelineární regulační obvody s jednou nelinearitou shromážděny v tabulce přenosy lineárních částí obvodů, které se nejčastěji vyskytují včetně jejich modifikovaných frekvenčních charakteristik. Pro každý obvod s tímto modifikovaným frekvenčním přenosem a s nelinearitou odpovídající směrnici k je odvozena podmínka globální asymptotické stability. Tím je umožněno přímé určení stability obvodu z této tabulky. Tím je umožněno snadné vyšetřování stability pro velkou skupinu nelineárních obvodů. Tento úkol patří obvykle k obtížným úkolům v technické praxi.
English abstract
The Popov criterion for the stability of nonlinear control systems is considered. The Popov criterion gives sufficient conditions for stability of nonlinear systems in the frequency domain. It has a direct graphical interpretation and is convenient for both design and analysis. In the article presented, a table of transfer functions of linear parts of nonlinear systems is constructed. The table includes frequency response functions and offers solutions to the stability of the given systems. The table makes a direct stability analysis of selected nonlinear systems possible. The stability analysis is solved analytically and graphically. Then it is easy to find out if the nonlinear system is or is not stable; the task that usually ranks among the difficult task in engineering practice.
Keywords in English
Nonlinear control system; Popov criterion; modified frequency response; global asymptotic stability (GAS).
RIV year
2003
Released
01.01.2003
Publisher
Fakulta BERG Technickej univerzity v Košiciach
Location
Košice
ISSN
1335-1788
Book
Acta Montanistica Slovaca
Journal
Acta Montanistica Slovaca
Volume
8
Number
4
Edition number
1
Pages count
3
BIBTEX
@article{BUT42068,
author="Ivan {Švarc},
title="Contribution to stability analysis of nonlinear control systems",
journal="Acta Montanistica Slovaca",
booktitle="Acta Montanistica Slovaca",
year="2003",
volume="8",
number="4",
month="January",
publisher="Fakulta BERG Technickej univerzity v Košiciach",
address="Košice",
issn="1335-1788"
}