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"
}