Publication detail

Contribution to Stability Control of Nonlinear Systems

ŠVARC, I. MATOUŠEK, R.

Czech title

Příspěvek ke stabilitě nelineárních systémů

English title

Contribution to Stability Control of Nonlinear Systems

Type

journal article - other

Language

en

Original abstract

The most powerful methods of systems analysis have been developed for linear control systems. For a linear control system, all the relationships between the variables are linear differential equations, usually with constant coefficients. Actual control systems usually contain some nonlinear elements. In the following we show how the equations for nonlinear systems may be linearized. But the result is only applicable in a sufficiently small region in the neighbourhood of equilibrium point. The table in this paper includes the nonlinear equations and their the linear approximation. Then it is easy to find out if the nonlinear system is or is not stable; the task that usually ranks among the difficult tasks in engineering practice.

Czech abstract

Pro analýzu lineárních systémů bylo v minulosti vyvynuto mnoho efektivních metod. Reálné řídící systémy obvykle obsahují některé zdroje nelinearit. V příspěvku je prezentována možnost linearizace těchto typů nelinearit. Výsledky linearizace jsou pochopitelně aplikovatelné pouze v omezeném rozsahu kolem rovnovážného stavu. Výsledky návrhu jsou v článku zpracovány do tabulky tak aby byly prakticky rychle využitelné.

English abstract

The most powerful methods of systems analysis have been developed for linear control systems. For a linear control system, all the relationships between the variables are linear differential equations, usually with constant coefficients. Actual control systems usually contain some nonlinear elements. In the following we show how the equations for nonlinear systems may be linearized. But the result is only applicable in a sufficiently small region in the neighbourhood of equilibrium point. The table in this paper includes the nonlinear equations and their the linear approximation. Then it is easy to find out if the nonlinear system is or is not stable; the task that usually ranks among the difficult tasks in engineering practice.

Keywords in Czech

lineární systém, nelineární systém, linearizace

Keywords in English

linear system, non-linear system, linearization

RIV year

2012

Released

10.02.2012

Publisher

Trans Tech Publications

Location

Switzerland

ISSN

1022-6680

Volume

2012

Number

463-464

Pages from–to

1579–1582

Pages count

4

BIBTEX


@article{BUT90078,
  author="Ivan {Švarc} and Radomil {Matoušek},
  title="Contribution to Stability Control of Nonlinear Systems",
  year="2012",
  volume="2012",
  number="463-464",
  month="February",
  pages="1579--1582",
  publisher="Trans Tech Publications",
  address="Switzerland",
  issn="1022-6680"
}