IEICE TRANSACTIONS on Information
Optimal Stabilizing Controller for the Region of Weak Attraction under the Influence of Disturbances
Summary :
This paper considers an optimal stabilization problem of quantitative discrete event systems (DESs) under the influence of disturbances. We model a DES by a deterministic weighted automaton. The control cost is concerned with the sum of the weights along the generated trajectories reaching the target state. The region of weak attraction is the set of states of the system such that all trajectories starting from them can be controlled to reach a specified set of target states and stay there indefinitely. An optimal stabilizing controller is a controller that drives the states in this region to the set of target states with minimum control cost and keeps them there. We consider two control objectives: to minimize the worst-case control cost (1) subject to all enabled trajectories and (2) subject to the enabled trajectories starting by controllable events. Moreover, we consider the disturbances which are uncontrollable events that rarely occur in the real system but may degrade the control performance when they occur. We propose a linearithmic time algorithm for the synthesis of an optimal stabilizing controller which is robust to disturbances.
- Publication
- IEICE TRANSACTIONS on Information Vol.E99-D No.6 pp.1428-1435
- Publication Date
- 2016/06/01
- Publicized
- 2016/05/02
- Online ISSN
- 1745-1361
- DOI
- 10.1587/transinf.2015FOP0004
- Type of Manuscript
- Special Section PAPER (Special Section on Formal Approach)
- Category
- Formal Methods
Authors
Sasinee PRUEKPRASERT
Osaka University
Toshimitsu USHIO
Osaka University
Keyword
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Sasinee PRUEKPRASERT, Toshimitsu USHIO, "Optimal Stabilizing Controller for the Region of Weak Attraction under the Influence of Disturbances" in IEICE TRANSACTIONS on Information,
vol. E99-D, no. 6, pp. 1428-1435, June 2016, doi: 10.1587/transinf.2015FOP0004.
Abstract: This paper considers an optimal stabilization problem of quantitative discrete event systems (DESs) under the influence of disturbances. We model a DES by a deterministic weighted automaton. The control cost is concerned with the sum of the weights along the generated trajectories reaching the target state. The region of weak attraction is the set of states of the system such that all trajectories starting from them can be controlled to reach a specified set of target states and stay there indefinitely. An optimal stabilizing controller is a controller that drives the states in this region to the set of target states with minimum control cost and keeps them there. We consider two control objectives: to minimize the worst-case control cost (1) subject to all enabled trajectories and (2) subject to the enabled trajectories starting by controllable events. Moreover, we consider the disturbances which are uncontrollable events that rarely occur in the real system but may degrade the control performance when they occur. We propose a linearithmic time algorithm for the synthesis of an optimal stabilizing controller which is robust to disturbances.
URL: https://global.ieice.org/en_transactions/information/10.1587/transinf.2015FOP0004/_p
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@ARTICLE{e99-d_6_1428,
author={Sasinee PRUEKPRASERT, Toshimitsu USHIO, },
journal={IEICE TRANSACTIONS on Information},
title={Optimal Stabilizing Controller for the Region of Weak Attraction under the Influence of Disturbances},
year={2016},
volume={E99-D},
number={6},
pages={1428-1435},
abstract={This paper considers an optimal stabilization problem of quantitative discrete event systems (DESs) under the influence of disturbances. We model a DES by a deterministic weighted automaton. The control cost is concerned with the sum of the weights along the generated trajectories reaching the target state. The region of weak attraction is the set of states of the system such that all trajectories starting from them can be controlled to reach a specified set of target states and stay there indefinitely. An optimal stabilizing controller is a controller that drives the states in this region to the set of target states with minimum control cost and keeps them there. We consider two control objectives: to minimize the worst-case control cost (1) subject to all enabled trajectories and (2) subject to the enabled trajectories starting by controllable events. Moreover, we consider the disturbances which are uncontrollable events that rarely occur in the real system but may degrade the control performance when they occur. We propose a linearithmic time algorithm for the synthesis of an optimal stabilizing controller which is robust to disturbances.},
keywords={},
doi={10.1587/transinf.2015FOP0004},
ISSN={1745-1361},
month={June},}
Copy
TY - JOUR
TI - Optimal Stabilizing Controller for the Region of Weak Attraction under the Influence of Disturbances
T2 - IEICE TRANSACTIONS on Information
SP - 1428
EP - 1435
AU - Sasinee PRUEKPRASERT
AU - Toshimitsu USHIO
PY - 2016
DO - 10.1587/transinf.2015FOP0004
JO - IEICE TRANSACTIONS on Information
SN - 1745-1361
VL - E99-D
IS - 6
JA - IEICE TRANSACTIONS on Information
Y1 - June 2016
AB - This paper considers an optimal stabilization problem of quantitative discrete event systems (DESs) under the influence of disturbances. We model a DES by a deterministic weighted automaton. The control cost is concerned with the sum of the weights along the generated trajectories reaching the target state. The region of weak attraction is the set of states of the system such that all trajectories starting from them can be controlled to reach a specified set of target states and stay there indefinitely. An optimal stabilizing controller is a controller that drives the states in this region to the set of target states with minimum control cost and keeps them there. We consider two control objectives: to minimize the worst-case control cost (1) subject to all enabled trajectories and (2) subject to the enabled trajectories starting by controllable events. Moreover, we consider the disturbances which are uncontrollable events that rarely occur in the real system but may degrade the control performance when they occur. We propose a linearithmic time algorithm for the synthesis of an optimal stabilizing controller which is robust to disturbances.
ER -
English
