Abstract
The problem of eliminating the effects of infinite cycles on asynchronous sequential machines is considered in a control theoretic context. The main objective is to develop state feedback controllers that stop infinite cycles in an existing asynchronous machine, while controlling the machine to match a prescribed model. Necessary and sufficient conditions for the existence of such controllers are derived in terms of an inequality condition between two numerical matrices. The results include an algorithm for the characterization of all infinite cycles of a given machine as well as an algorithm for the construction of appropriate controllers, whenever they exist.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 764-785 |
| Number of pages | 22 |
| Journal | International Journal of Control |
| Volume | 79 |
| Issue number | 7 |
| DOIs | |
| State | Published - Jul 2006 |
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ASJC Scopus subject areas
- Control and Systems Engineering
Cite this
On the control of asynchronous sequential machines with infinite cycles. / Venkatraman, Niranjan; Hammer, J.
In: International Journal of Control, Vol. 79, No. 7, 07.2006, p. 764-785.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On the control of asynchronous sequential machines with infinite cycles
AU - Venkatraman, Niranjan
AU - Hammer, J.
PY - 2006/7
Y1 - 2006/7
N2 - The problem of eliminating the effects of infinite cycles on asynchronous sequential machines is considered in a control theoretic context. The main objective is to develop state feedback controllers that stop infinite cycles in an existing asynchronous machine, while controlling the machine to match a prescribed model. Necessary and sufficient conditions for the existence of such controllers are derived in terms of an inequality condition between two numerical matrices. The results include an algorithm for the characterization of all infinite cycles of a given machine as well as an algorithm for the construction of appropriate controllers, whenever they exist.
AB - The problem of eliminating the effects of infinite cycles on asynchronous sequential machines is considered in a control theoretic context. The main objective is to develop state feedback controllers that stop infinite cycles in an existing asynchronous machine, while controlling the machine to match a prescribed model. Necessary and sufficient conditions for the existence of such controllers are derived in terms of an inequality condition between two numerical matrices. The results include an algorithm for the characterization of all infinite cycles of a given machine as well as an algorithm for the construction of appropriate controllers, whenever they exist.
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UR - http://www.scopus.com/inward/citedby.url?scp=33646815332&partnerID=8YFLogxK
U2 - 10.1080/00207170600665022
DO - 10.1080/00207170600665022
M3 - Article
VL - 79
SP - 764
EP - 785
JO - International Journal of Control
JF - International Journal of Control
SN - 0020-7179
IS - 7
ER -