Publication detail

A New Approach to Stability Analysis of Nonlinear Control Systems

ŠVARC, I.

Original Title

A New Approach to Stability Analysis of Nonlinear Control Systems

Type

conference paper

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

Equilibrium points; phase-plane trajectory; Lyapunov method; Popov criterion; linearization; GAS (global asymptotic stability).

Authors

ŠVARC, I.

RIV year

2005

Released

7. 9. 2005

Publisher

VŠB-Technical University of Ostrava, Faculty of Mechanical Engineering

Location

Ostrava

ISBN

80-248-0773-4

Book

Principia Cybernetica 2005

Edition number

1

Pages from

34

Pages to

35

Pages count

2

BibTex

@inproceedings{BUT18239,
  author="Ivan {Švarc}",
  title="A New Approach to Stability Analysis of Nonlinear Control Systems",
  booktitle="Principia Cybernetica 2005",
  year="2005",
  number="1",
  pages="2",
  publisher="VŠB-Technical University of Ostrava, Faculty of Mechanical Engineering",
  address="Ostrava",
  isbn="80-248-0773-4"
}