Linear Quadratic Regulator with Decentralized Event-Triggering
Summary :
Event-triggered control is a control method that the measured signal is sent to the controller only when a certain triggering condition on the measured signal is satisfied. In this paper, we propose a linear quadratic regulator (LQR) with decentralized triggering conditions. First, a suboptimal solution to the design problem of LQRs with decentralized triggering conditions is derived. A state-feedback gain can be obtained by solving a convex optimization problem with LMI (linear matrix inequality) constraints. Next, the relation between centralized and decentralized triggering conditions is discussed. It is shown that control performance of an LQR with decentralized event-triggering is better than that with centralized event-triggering. Finally, a numerical example is illustrated.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E100-A No.2 pp.414-420
- Publication Date
- 2017/02/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E100.A.414
- Type of Manuscript
- Special Section PAPER (Special Section on Mathematical Systems Science and its Applications)
- Category
Authors
Kyohei NAKAJIMA
Hokkaido University
Koichi KOBAYASHI
Hokkaido University
Yuh YAMASHITA
Hokkaido University
Keyword
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Kyohei NAKAJIMA, Koichi KOBAYASHI, Yuh YAMASHITA, "Linear Quadratic Regulator with Decentralized Event-Triggering" in IEICE TRANSACTIONS on Fundamentals,
vol. E100-A, no. 2, pp. 414-420, February 2017, doi: 10.1587/transfun.E100.A.414.
Abstract: Event-triggered control is a control method that the measured signal is sent to the controller only when a certain triggering condition on the measured signal is satisfied. In this paper, we propose a linear quadratic regulator (LQR) with decentralized triggering conditions. First, a suboptimal solution to the design problem of LQRs with decentralized triggering conditions is derived. A state-feedback gain can be obtained by solving a convex optimization problem with LMI (linear matrix inequality) constraints. Next, the relation between centralized and decentralized triggering conditions is discussed. It is shown that control performance of an LQR with decentralized event-triggering is better than that with centralized event-triggering. Finally, a numerical example is illustrated.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E100.A.414/_p
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@ARTICLE{e100-a_2_414,
author={Kyohei NAKAJIMA, Koichi KOBAYASHI, Yuh YAMASHITA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Linear Quadratic Regulator with Decentralized Event-Triggering},
year={2017},
volume={E100-A},
number={2},
pages={414-420},
abstract={Event-triggered control is a control method that the measured signal is sent to the controller only when a certain triggering condition on the measured signal is satisfied. In this paper, we propose a linear quadratic regulator (LQR) with decentralized triggering conditions. First, a suboptimal solution to the design problem of LQRs with decentralized triggering conditions is derived. A state-feedback gain can be obtained by solving a convex optimization problem with LMI (linear matrix inequality) constraints. Next, the relation between centralized and decentralized triggering conditions is discussed. It is shown that control performance of an LQR with decentralized event-triggering is better than that with centralized event-triggering. Finally, a numerical example is illustrated.},
keywords={},
doi={10.1587/transfun.E100.A.414},
ISSN={1745-1337},
month={February},}
Copy
TY - JOUR
TI - Linear Quadratic Regulator with Decentralized Event-Triggering
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 414
EP - 420
AU - Kyohei NAKAJIMA
AU - Koichi KOBAYASHI
AU - Yuh YAMASHITA
PY - 2017
DO - 10.1587/transfun.E100.A.414
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E100-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2017
AB - Event-triggered control is a control method that the measured signal is sent to the controller only when a certain triggering condition on the measured signal is satisfied. In this paper, we propose a linear quadratic regulator (LQR) with decentralized triggering conditions. First, a suboptimal solution to the design problem of LQRs with decentralized triggering conditions is derived. A state-feedback gain can be obtained by solving a convex optimization problem with LMI (linear matrix inequality) constraints. Next, the relation between centralized and decentralized triggering conditions is discussed. It is shown that control performance of an LQR with decentralized event-triggering is better than that with centralized event-triggering. Finally, a numerical example is illustrated.
ER -
English
