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"
}