![](/images/graphics-bg.png)
Improvement of the Asymptotic Properties of Zero Dynamics for Sampled-Data Systems in the Case of a Time Delay
Joint Authors
Su, Yingying
Liang, Shan
Su, Yingying
Zeng, Cheng
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-28
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
It is well known that the existence of unstable zero dynamics is recognized as a major barrier in many control systems,and deeply limits the achievable control performance.
When a continuous-time system with relative degree greaterthan or equal to three is discretized using a zero-order hold (ZOH), at least one of the zero dynamics of the resultingsampled-data model is obviously unstable for sufficiently small sampling periods, irrespective of whether they involvetime delay or not.
Thus, attention is here focused on continuous-time systems with time delay and relative degree two.
This paper analyzes the asymptotic behavior of zero dynamics for the sampled-data models corresponding to thecontinuous-time systems mentioned above, and further gives an approximate expression of the zero dynamics in theform of a power series expansion up to the third order term of sampling period.
Meanwhile, the stability of the zerodynamics is discussed for sufficiently small sampling periods and a new stability condition is also derived.
The ideaspresented here generalize well-known results from the delay-free control system to time-delay case.
American Psychological Association (APA)
Zeng, Cheng& Liang, Shan& Su, Yingying& Su, Yingying. 2014. Improvement of the Asymptotic Properties of Zero Dynamics for Sampled-Data Systems in the Case of a Time Delay. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1034027
Modern Language Association (MLA)
Zeng, Cheng…[et al.]. Improvement of the Asymptotic Properties of Zero Dynamics for Sampled-Data Systems in the Case of a Time Delay. Abstract and Applied Analysis No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1034027
American Medical Association (AMA)
Zeng, Cheng& Liang, Shan& Su, Yingying& Su, Yingying. Improvement of the Asymptotic Properties of Zero Dynamics for Sampled-Data Systems in the Case of a Time Delay. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1034027
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034027