Publication detail

A new approach to stability of nonlinear control systems

ŠVARC, I.

Original Title

A new approach to stability of nonlinear control systems

Type

journal article - other

Language

English

Original Abstract

Three methods for stability analysis of nonlinear control systems are introduced in this contribution: method of linearization, Lyapunov direct method and Popov criterion. Since stability analysis of nonlinear control systems is difficult task in engineering practice, these methods are made easier and tabulated. Method of linearization: The table includes the nonlinear equations and their linear approximation. Lyapunov direct method: The table contains Lyapunov functions for usually used equations second order. Popov criterion: The table will allow us to directly determine the stability of the nonlinear circuit with the transfer function G(s) and the nonlinearity that satisfies the slope k.

Keywords

Nonlinear control system, equilibrium points, phase-plane trajectory, Lyapunov method, Popov criterion; modified frequency response; linearization, global asymptotic stability (GAS)

Authors

ŠVARC, I.

RIV year

2004

Released

1. 1. 2004

Publisher

Stowaryzsyenia Eletrzkow Polskich

ISBN

0033-2089

Periodical

Elektronika

Year of study

2004

Number

8-9

State

Republic of Poland

Pages from

18

Pages to

21

Pages count

4

BibTex

@article{BUT46207,
  author="Ivan {Švarc}",
  title="A new approach to stability of nonlinear control systems",
  journal="Elektronika",
  year="2004",
  volume="2004",
  number="8-9",
  pages="4",
  issn="0033-2089"
}