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Deadlock-Free Symbolic Smith Controllers Based on Prediction for Nondeterministic Systems
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The Smith method has been used to control physical plants with dead time components, where plant states after the dead time is elapsed are predicted and a control input is determined based on the predicted states. We extend the method to the symbolic control and design a symbolic Smith controller to deal with a nondeterministic embedded system. Due to the nondeterministic transitions, the proposed controller computes all reachable plant states after the dead time is elapsed and determines a control input that is suitable for all of them in terms of a given control specification. The essence of the Smith method is that the effects of the dead time are suppressed by the prediction, however, which is not always guaranteed for nondeterministic systems because there may exist no control input that is suitable for all predicted states. Thus, in this paper, we discuss the existence of a deadlock-free symbolic Smith controller. If it exists, it is guaranteed that the effects of the dead time can be suppressed and that the controller can always issue the control input for any reachable state of the plant. If it does not exist, it is proved that the deviation from the control specification is essentially inevitable.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E104-A No.11 pp.1593-1602
- Publication Date
- 2021/11/01
- Publicized
- 2021/05/14
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2021EAP1002
- Type of Manuscript
- PAPER
- Category
- Systems and Control
Authors
Masashi MIZOGUCHI
Osaka University
Toshimitsu USHIO
Osaka University
Keyword
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Masashi MIZOGUCHI, Toshimitsu USHIO, "Deadlock-Free Symbolic Smith Controllers Based on Prediction for Nondeterministic Systems" in IEICE TRANSACTIONS on Fundamentals,
vol. E104-A, no. 11, pp. 1593-1602, November 2021, doi: 10.1587/transfun.2021EAP1002.
Abstract: The Smith method has been used to control physical plants with dead time components, where plant states after the dead time is elapsed are predicted and a control input is determined based on the predicted states. We extend the method to the symbolic control and design a symbolic Smith controller to deal with a nondeterministic embedded system. Due to the nondeterministic transitions, the proposed controller computes all reachable plant states after the dead time is elapsed and determines a control input that is suitable for all of them in terms of a given control specification. The essence of the Smith method is that the effects of the dead time are suppressed by the prediction, however, which is not always guaranteed for nondeterministic systems because there may exist no control input that is suitable for all predicted states. Thus, in this paper, we discuss the existence of a deadlock-free symbolic Smith controller. If it exists, it is guaranteed that the effects of the dead time can be suppressed and that the controller can always issue the control input for any reachable state of the plant. If it does not exist, it is proved that the deviation from the control specification is essentially inevitable.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2021EAP1002/_p
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@ARTICLE{e104-a_11_1593,
author={Masashi MIZOGUCHI, Toshimitsu USHIO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Deadlock-Free Symbolic Smith Controllers Based on Prediction for Nondeterministic Systems},
year={2021},
volume={E104-A},
number={11},
pages={1593-1602},
abstract={The Smith method has been used to control physical plants with dead time components, where plant states after the dead time is elapsed are predicted and a control input is determined based on the predicted states. We extend the method to the symbolic control and design a symbolic Smith controller to deal with a nondeterministic embedded system. Due to the nondeterministic transitions, the proposed controller computes all reachable plant states after the dead time is elapsed and determines a control input that is suitable for all of them in terms of a given control specification. The essence of the Smith method is that the effects of the dead time are suppressed by the prediction, however, which is not always guaranteed for nondeterministic systems because there may exist no control input that is suitable for all predicted states. Thus, in this paper, we discuss the existence of a deadlock-free symbolic Smith controller. If it exists, it is guaranteed that the effects of the dead time can be suppressed and that the controller can always issue the control input for any reachable state of the plant. If it does not exist, it is proved that the deviation from the control specification is essentially inevitable.},
keywords={},
doi={10.1587/transfun.2021EAP1002},
ISSN={1745-1337},
month={November},}
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TY - JOUR
TI - Deadlock-Free Symbolic Smith Controllers Based on Prediction for Nondeterministic Systems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1593
EP - 1602
AU - Masashi MIZOGUCHI
AU - Toshimitsu USHIO
PY - 2021
DO - 10.1587/transfun.2021EAP1002
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E104-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2021
AB - The Smith method has been used to control physical plants with dead time components, where plant states after the dead time is elapsed are predicted and a control input is determined based on the predicted states. We extend the method to the symbolic control and design a symbolic Smith controller to deal with a nondeterministic embedded system. Due to the nondeterministic transitions, the proposed controller computes all reachable plant states after the dead time is elapsed and determines a control input that is suitable for all of them in terms of a given control specification. The essence of the Smith method is that the effects of the dead time are suppressed by the prediction, however, which is not always guaranteed for nondeterministic systems because there may exist no control input that is suitable for all predicted states. Thus, in this paper, we discuss the existence of a deadlock-free symbolic Smith controller. If it exists, it is guaranteed that the effects of the dead time can be suppressed and that the controller can always issue the control input for any reachable state of the plant. If it does not exist, it is proved that the deviation from the control specification is essentially inevitable.
ER -
English
