Publication detail

A new approach to stability analysis of discrete systems

ŠVARC, I.

Czech title

Nový přístup k vyšetřování stability diskrétních systémů

English title

A new approach to stability analysis of discrete systems

Type

conference paper

Language

en

Original abstract

A linear discrete-time system is asymptotically stable, if the poles of the transfer function or the characteristic equation are located inside the unit circle. If single poles are located on the unit circle, then the system is critically stable. For multiple poles on the unit circle, however, it becomes unstable. Four methods for stability analysis of discrete control systems are introduced in this contribution: – algebraic stability criterion; – frequency methods; – root locus methods; – stability analysis through bilinear transformation. Since stability analysis of discrete control systems is difficult task in engineering practice, this article gives understandable explanation.

Czech abstract

Lineární diskrétní systém je asymptoticky stabilní, když póly přenosu nebo kořeny charakteristické rovnice leží uvnitř jednotkové kružnice. Když tyto póly leží na jednotkové kružnici, je systém kriticky stabilní. Pro násobné póly na jednotkové kružnici je obvod nestabilní. ťyři metody vyšetřování stability diskrétních systémů jsou uvedeny v tomto příspěvku: -algebraická kritéria stability; -frekvenční metody; -metoda kořenového hodografu; -metoda bilineární transformace. Protože vyšetřování stability je obtížná úloha v inženýrské praxi, tento článek dává srozumitelné vysvětlení.

English abstract

A linear discrete-time system is asymptotically stable, if the poles of the transfer function or the characteristic equation are located inside the unit circle. If single poles are located on the unit circle, then the system is critically stable. For multiple poles on the unit circle, however, it becomes unstable. Four methods for stability analysis of discrete control systems are introduced in this contribution: – algebraic stability criterion; – frequency methods; – root locus methods; – stability analysis through bilinear transformation. Since stability analysis of discrete control systems is difficult task in engineering practice, this article gives understandable explanation.

Keywords in Czech

Diskrétní systém, diskrétní přenos, frekvenční přenos, Nyquistův diagram

Keywords in English

Discrete system, discrete transfer function, frequency response, Nyquist plot

RIV year

2005

Released

29.08.2005

Publisher

Faculty of Electrical Engineering and Communication,Brno University of Technology

Location

Brno

ISBN

80-214-2976-3

Book

Ceepus Summer School 2005

Edition number

1

Pages count

3

BIBTEX


@inproceedings{BUT18216,
  author="Ivan {Švarc},
  title="A new approach to stability analysis of discrete systems",
  booktitle="Ceepus Summer School 2005",
  year="2005",
  month="August",
  publisher="Faculty of Electrical Engineering and Communication,Brno University of Technology",
  address="Brno",
  isbn="80-214-2976-3"
}