Advanced search ?

Object

Improving the stability of discretization zeros with the Taylor method using a generalization of the fractional-order hold

Download

Title: Improving the stability of discretization zeros with the Taylor method using a generalization of the fractional-order hold

Creator:

Zeng, Cheng ; Liang, Shang ; Zhang, Yuzhe ; Zhong, Jiaqi ; Su, Yingying

Date:

2014

Resource Type:

artykuł

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Group publication title:

AMCS, Volume 24 (2014)

Abstract:

Remarkable improvements in the stability properties of discrete system zeros may be achieved by using a new design of the fractional-order hold (FROH) circuit. This paper first analyzes asymptotic behaviors of the limiting zeros, as the sampling period T tends to zero, of the sampled-data models on the basis of the normal form representation for continuous-time systems with a new hold proposed. ; Further, we also give the approximate expression of limiting zeros of the resulting sampled-data system as power series with respect to a sampling period up to the third order term when the relative degree of the continuous-time system is equal to three, and the corresponding stability of the discretization zeros is discussed for fast sampling rates. Of particular interest are the stability conditions of sampling zeros in the case of a new FROH even though the relative degree of a continuous-time system is greater than two, whereas the conventional FROH fails to do so. ; An insightful interpretation of the obtained sampled-data model can be made in terms of minimal intersample ripple by design, where multirate sampled systems have a poor intersample behavior. Our results provide a more accurate approximation for asymptotic zeros, and certain known results on asymptotic behavior of limiting zeros are shown to be particular cases of the ideas presented here.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Resource Identifier:

oai:zbc.uz.zgora.pl:78985

DOI:

10.2478/amcs-2014-0055

Pages:

745-757

Source:

AMCS, volume 24, number 4 (2014) ; click here to follow the link

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

Subject and keywords:

stability discretization zeros Taylor method signal reconstruction sampled-data model

Object collections:

Last modified:

Nov 5, 2024

In our library since:

Apr 26, 2024

Number of object content hits:

41

All available object's versions:

https://zbc.uz.zgora.pl/publication/88797

Show description in RDF format:

RDF

Show description in OAI-PMH format:

OAI-PMH

Edition name Date
Improving the stability of discretization zeros with the Taylor method using a generalization of the fractional-order hold Nov 5, 2024

Objects

Similar
AMCS, volume 11 (2001)
AMCS, volume 11 (2001)

Measuring and maintaining consistency: A hybrid FTF algorithm

Bunch, James R. Le Borne, Richard C. Proudler, Ian K. Campbell, Stephen L. - ed.

2001
artykuł
AMCS, Volume 23 (2013)
AMCS, Volume 23 (2013)

On the dynamics of a vaccination model with multiple transmission ways

Liao, Shu Yang, Weiming Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.

2013
artykuł
AMCS, volume 19 (2009)
AMCS, volume 19 (2009)

Simple conditions for practical stability of positive fractional discrete-time linear systems

Busłowicz, Mikołaj Kaczorek, Tadeusz (1932- ) Korbicz, Józef (1951- ) - ed.

2009
artykuł
IJAME, volume 18 (2013)
IJAME, volume 18 (2013)

Marangoni convection in a relatively hotter or cooler liquid layer with free boundaries

Gupta, Anil K. Shandil, R.G. Jurczak, Paweł - red.

2013
artykuł
AMCS, Volume 15 (2005)
AMCS, Volume 15 (2005)

Stability of a class of adaptive nonlinear systems

Dzieliński, Andrzej Beliczyński, Bartłomiej - red.

2005
artykuł
AMCS, volume 9 (1999)
AMCS, volume 9 (1999)

Robust predictive control using a time-varying youla parameter

Van Den Boom, Ton J.J. De Vries, Rob A.J. Kowalczuk, Zdzisław - red.

1999
artykuł
AMCS, volume 13 (2003)
AMCS, volume 13 (2003)

The asymptotical stability of a dynamic system with structural damping

Hou, Xuezhang Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.

2003
artykuł
AMCS, Volume 22 (2012)
AMCS, Volume 22 (2012)

Existence and determination of the set of metzler matrices for given stable polynomials

Kaczorek, Tadeusz (1932- ) Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.

2012
artykuł
More

Contact details

Address

University Library
al. Wojska Polskiego 71
65-762 Zielona Góra

Phone

(+48) 68 328 21 55

E-Mail

kontakt@zbc.uz.zgora.pl

Cyprian Norwid Voivodeship and
City Public Library
al. Wojska Polskiego 9
65-077 Zielona Góra

(+48) 68 453 26 06

p.karp@biblioteka.zgora.pl

This page uses 'cookies'. More information