### Abstract

An event-triggered control (ETC) strategy is consistent if it achieves a better closed-loop performance than that of traditional periodic control for the same average transmission rate and does not generate transmissions in the absence of disturbances. In this letter, we propose a consistent ETC strategy for discrete-time linear systems with partial state information and Gaussian noise and disturbances when the performance is measured by an average quadratic cost, just as in the linear quadratic Gaussian (LQG) framework. This strategy incorporates a scheduler determining transmissions based on the error between two state estimates, which are provided by a stationary Kalman filter at the sensors/scheduler side and an estimator at the controller/actuators side relying on previously transmitted data. Through a numerical example, we show that the proposed strategy can achieve impressive performance gains with respect to periodic control for the same average transmission rate.

Language | English |
---|---|

Article number | 8734856 |

Pages | 181-186 |

Number of pages | 6 |

Journal | IEEE Control Systems Letters |

Volume | 4 |

Issue number | 1 |

DOIs | |

State | Published - 2020 |

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### Keywords

- Markov processes
- networked control systems
- observers for linear systems
- optimal control
- stochastic optimal control

### Cite this

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*IEEE Control Systems Letters*, vol. 4, no. 1, 8734856, pp. 181-186. DOI: 10.1109/LCSYS.2019.2922187

**Consistent event-triggered control for discrete-time linear systems with partial state information.** / Antunes, Duarte J.; Balaghi I, M.H.

Research output: Contribution to journal › Article › Academic › peer-review

TY - JOUR

T1 - Consistent event-triggered control for discrete-time linear systems with partial state information

AU - Antunes,Duarte J.

AU - Balaghi I,M.H.

PY - 2020

Y1 - 2020

N2 - An event-triggered control (ETC) strategy is consistent if it achieves a better closed-loop performance than that of traditional periodic control for the same average transmission rate and does not generate transmissions in the absence of disturbances. In this letter, we propose a consistent ETC strategy for discrete-time linear systems with partial state information and Gaussian noise and disturbances when the performance is measured by an average quadratic cost, just as in the linear quadratic Gaussian (LQG) framework. This strategy incorporates a scheduler determining transmissions based on the error between two state estimates, which are provided by a stationary Kalman filter at the sensors/scheduler side and an estimator at the controller/actuators side relying on previously transmitted data. Through a numerical example, we show that the proposed strategy can achieve impressive performance gains with respect to periodic control for the same average transmission rate.

AB - An event-triggered control (ETC) strategy is consistent if it achieves a better closed-loop performance than that of traditional periodic control for the same average transmission rate and does not generate transmissions in the absence of disturbances. In this letter, we propose a consistent ETC strategy for discrete-time linear systems with partial state information and Gaussian noise and disturbances when the performance is measured by an average quadratic cost, just as in the linear quadratic Gaussian (LQG) framework. This strategy incorporates a scheduler determining transmissions based on the error between two state estimates, which are provided by a stationary Kalman filter at the sensors/scheduler side and an estimator at the controller/actuators side relying on previously transmitted data. Through a numerical example, we show that the proposed strategy can achieve impressive performance gains with respect to periodic control for the same average transmission rate.

KW - Markov processes

KW - networked control systems

KW - observers for linear systems

KW - optimal control

KW - stochastic optimal control

UR - http://www.scopus.com/inward/record.url?scp=85068230020&partnerID=8YFLogxK

U2 - 10.1109/LCSYS.2019.2922187

DO - 10.1109/LCSYS.2019.2922187

M3 - Article

VL - 4

SP - 181

EP - 186

JO - IEEE Control Systems Letters

T2 - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

SN - 2475-1456

IS - 1

M1 - 8734856

ER -