Quantized Event-Triggered Control of Discrete-Time Linear Systems with Switching Triggering Conditions

Shumpei YOSHIKAWA; Koichi KOBAYASHI; Yuh YAMASHITA

doi:10.1587/transfun.E101.A.322

Quantized Event-Triggered Control of Discrete-Time Linear Systems with Switching Triggering Conditions

Shumpei YOSHIKAWA, Koichi KOBAYASHI, Yuh YAMASHITA

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Event-triggered control is a method that the control input is updated only when a certain triggering condition is satisfied. In networked control systems, quantization errors via A/D conversion should be considered. In this paper, a new method for quantized event-triggered control with switching triggering conditions is proposed. For a discrete-time linear system, we consider the problem of finding a state-feedback controller such that the closed-loop system is uniformly ultimately bounded in a certain ellipsoid. This problem is reduced to an LMI (Linear Matrix Inequality) optimization problem. The volume of the ellipsoid may be adjusted. The effectiveness of the proposed method is presented by a numerical example.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E101-A No.2 pp.322-327

Publication Date: 2018/02/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E101.A.322

Type of Manuscript: Special Section PAPER (Special Section on Mathematical Systems Science and its Applications)

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Authors

Shumpei YOSHIKAWA
  Hokkaido University
Koichi KOBAYASHI
  Hokkaido University
Yuh YAMASHITA
  Hokkaido University

Keyword

event-triggered control, quantization, linear matrix inequality (LMI), networked control systems

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Shumpei YOSHIKAWA, Koichi KOBAYASHI, Yuh YAMASHITA, "Quantized Event-Triggered Control of Discrete-Time Linear Systems with Switching Triggering Conditions" in IEICE TRANSACTIONS on Fundamentals, vol. E101-A, no. 2, pp. 322-327, February 2018, doi: 10.1587/transfun.E101.A.322.
Abstract: Event-triggered control is a method that the control input is updated only when a certain triggering condition is satisfied. In networked control systems, quantization errors via A/D conversion should be considered. In this paper, a new method for quantized event-triggered control with switching triggering conditions is proposed. For a discrete-time linear system, we consider the problem of finding a state-feedback controller such that the closed-loop system is uniformly ultimately bounded in a certain ellipsoid. This problem is reduced to an LMI (Linear Matrix Inequality) optimization problem. The volume of the ellipsoid may be adjusted. The effectiveness of the proposed method is presented by a numerical example.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.322/_p

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@ARTICLE{e101-a_2_322,
author={Shumpei YOSHIKAWA, Koichi KOBAYASHI, Yuh YAMASHITA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Quantized Event-Triggered Control of Discrete-Time Linear Systems with Switching Triggering Conditions},
year={2018},
volume={E101-A},
number={2},
pages={322-327},
abstract={Event-triggered control is a method that the control input is updated only when a certain triggering condition is satisfied. In networked control systems, quantization errors via A/D conversion should be considered. In this paper, a new method for quantized event-triggered control with switching triggering conditions is proposed. For a discrete-time linear system, we consider the problem of finding a state-feedback controller such that the closed-loop system is uniformly ultimately bounded in a certain ellipsoid. This problem is reduced to an LMI (Linear Matrix Inequality) optimization problem. The volume of the ellipsoid may be adjusted. The effectiveness of the proposed method is presented by a numerical example.},
keywords={},
doi={10.1587/transfun.E101.A.322},
ISSN={1745-1337},
month={February},}

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TY - JOUR
TI - Quantized Event-Triggered Control of Discrete-Time Linear Systems with Switching Triggering Conditions
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 322
EP - 327
AU - Shumpei YOSHIKAWA
AU - Koichi KOBAYASHI
AU - Yuh YAMASHITA
PY - 2018
DO - 10.1587/transfun.E101.A.322
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2018
AB - Event-triggered control is a method that the control input is updated only when a certain triggering condition is satisfied. In networked control systems, quantization errors via A/D conversion should be considered. In this paper, a new method for quantized event-triggered control with switching triggering conditions is proposed. For a discrete-time linear system, we consider the problem of finding a state-feedback controller such that the closed-loop system is uniformly ultimately bounded in a certain ellipsoid. This problem is reduced to an LMI (Linear Matrix Inequality) optimization problem. The volume of the ellipsoid may be adjusted. The effectiveness of the proposed method is presented by a numerical example.
ER -