Publication detail

Stability analysis of nonlinear control systems using linearization

ŠVARC, I.

Original Title

Stability analysis of nonlinear control systems using linearization

Type

conference paper

Language

English

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 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.

Keywords

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

Authors

ŠVARC, I.

RIV year

2004

Released

1. 1. 2004

Publisher

DELTA

Location

Zakopane

ISBN

83-89772-00-0

Book

Proceedings of 5th International Carpathian Control Conference

Pages from

25

Pages to

29

Pages count

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"
}