### Abstract

L2

-stabilization of linear systems using output feedback event-triggered controllers. In particular, we are interested in the scenario where the plant output and the control input are transmitted to the controller and to the actuators, respectively, over two different digital channels, which have their own sampling rule. The plant dynamics is affected by external disturbances and the output measurement and the control input are corrupted by noises. We present a co-design procedure to simultaneously synthesize dynamic output feedback laws and event-triggering conditions such that the closed-loop system is L2-stable with a given upper-bound on the

L2-gain. The required conditions are formulated in terms of the feasibility of linear matrix inequalities (LMIs). Then, we exploit these LMIs to maximize the guaranteed minimum time between two transmissions of the plant output and/or of the control input. We also present a heuristic method to reduce the amount of transmissions for each channel. The developed technique encompasses time-driven (and so periodic) sampling as a particular case and the result is also new in this context. The effectiveness of the proposed methods is illustrated on a numerical example.

Original language | English |
---|---|

Pages (from-to) | 337-344 |

Journal | Automatica |

Volume | 87 |

DOIs | |

Publication status | Published - Jan 2018 |

### Keywords

- Event-triggered control
- Co-design method
- Networked control systems
- Robust stabilization

### Cite this

*Automatica*,

*87*, 337-344. https://doi.org/10.1016/j.automatica.2017.10.008

}

*Automatica*, vol. 87, pp. 337-344. https://doi.org/10.1016/j.automatica.2017.10.008

**Co-design of output feedback laws and event-triggering conditions for the L-2-stabilization of linear systems.** / Abdelrahim, M.; Postoyan, R.; Daafouz, J.; Nesic, D.; Heemels, W.P.M.H.

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

TY - JOUR

T1 - Co-design of output feedback laws and event-triggering conditions for the L-2-stabilization of linear systems

AU - Abdelrahim, M.

AU - Postoyan, R.

AU - Daafouz, J.

AU - Nesic, D.

AU - Heemels, W.P.M.H.

PY - 2018/1

Y1 - 2018/1

N2 - We investigate the L2-stabilization of linear systems using output feedback event-triggered controllers. In particular, we are interested in the scenario where the plant output and the control input are transmitted to the controller and to the actuators, respectively, over two different digital channels, which have their own sampling rule. The plant dynamics is affected by external disturbances and the output measurement and the control input are corrupted by noises. We present a co-design procedure to simultaneously synthesize dynamic output feedback laws and event-triggering conditions such that the closed-loop system is L2-stable with a given upper-bound on the L2-gain. The required conditions are formulated in terms of the feasibility of linear matrix inequalities (LMIs). Then, we exploit these LMIs to maximize the guaranteed minimum time between two transmissions of the plant output and/or of the control input. We also present a heuristic method to reduce the amount of transmissions for each channel. The developed technique encompasses time-driven (and so periodic) sampling as a particular case and the result is also new in this context. The effectiveness of the proposed methods is illustrated on a numerical example.

AB - We investigate the L2-stabilization of linear systems using output feedback event-triggered controllers. In particular, we are interested in the scenario where the plant output and the control input are transmitted to the controller and to the actuators, respectively, over two different digital channels, which have their own sampling rule. The plant dynamics is affected by external disturbances and the output measurement and the control input are corrupted by noises. We present a co-design procedure to simultaneously synthesize dynamic output feedback laws and event-triggering conditions such that the closed-loop system is L2-stable with a given upper-bound on the L2-gain. The required conditions are formulated in terms of the feasibility of linear matrix inequalities (LMIs). Then, we exploit these LMIs to maximize the guaranteed minimum time between two transmissions of the plant output and/or of the control input. We also present a heuristic method to reduce the amount of transmissions for each channel. The developed technique encompasses time-driven (and so periodic) sampling as a particular case and the result is also new in this context. The effectiveness of the proposed methods is illustrated on a numerical example.

KW - Event-triggered control

KW - Co-design method

KW - Networked control systems

KW - Robust stabilization

U2 - 10.1016/j.automatica.2017.10.008

DO - 10.1016/j.automatica.2017.10.008

M3 - Article

VL - 87

SP - 337

EP - 344

JO - Automatica

JF - Automatica

SN - 0005-1098

ER -