Detail publikačního výsledku

A new approach to stability of nonlinear control systems

ŠVARC, I.

Originální název

A new approach to stability of nonlinear control systems

Anglický název

A new approach to stability of nonlinear control systems

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

ŠVARC, I.

Rok RIV

2011

Vydáno

01.01.2004

Nakladatel

Stowaryzsyenia Eletrzkow Polskich

Kniha

Elektrotechnika

Edice

8-9/2004

ISSN

0033-2089

Periodikum

Elektronika

Svazek

2004

Číslo

8-9

Stát

Polská republika

Strany od

18

Strany počet

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"
}