Detail publikace

Stability analysis of nonlinear control systems using linearization

ŠVARC, I.

Originální název

Stability analysis of nonlinear control systems using linearization

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

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 elements may be linearized. But the result is applicable only in a small enough region. When all the roots of the characteristic equation are located in the left half-plane, the system is stable. However that linearization fails when Re si ˇÜ 0 for all i, with Re si = 0 for some i. The table 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 task in engineering practice.

Klíčová slova

linearization, nonlinear system, equilibrium points, phase-plane trajectory

Autoři

ŠVARC, I.

Rok RIV

2004

Vydáno

1. 1. 2004

Nakladatel

DELTA

Místo

Zakopane

ISBN

83-89772-00-0

Kniha

Proceedings of 5th International Carpathian Control Conference

Strany od

25

Strany do

29

Strany počet

5

BibTex

@inproceedings{BUT12517,
  author="Ivan {Švarc}",
  title="Stability analysis of nonlinear control systems using linearization",
  booktitle="Proceedings of 5th International Carpathian Control Conference",
  year="2004",
  pages="5",
  publisher="DELTA",
  address="Zakopane",
  isbn="83-89772-00-0"
}