### Abstract

We investigate the stabilization of perturbed nonlinear systems using output-based periodic event-triggered controllers. Thus, the communication between the plant and the controller is triggered by a mechanism, which evaluates an output- and input-dependent rule at given sampling instants. We address the problem by emulation. Hence, we assume the knowledge of a continuous-time output feedback controller, which robustly stabilizes the system in the absence of network. We then implement the controller over the network and model the overall system as a hybrid system. We design the event-triggered mechanism to ensure an input-to-state stability property. An explicit bound on the maximum allowable sampling period at which the triggering rule is evaluated is provided. The analysis relies on the construction of a novel hybrid Lyapunov function. The results are applied to a class of Lipschitz nonlinear systems, for which we formulate the required conditions as linear matrix inequalities. The effectiveness of the scheme is illustrated via simulations of a nonlinear example.

Language | English |
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Title of host publication | 2018 IEEE Conference on Decision and Control, CDC 2018 |

Place of Publication | Piscataway |

Publisher | Institute of Electrical and Electronics Engineers |

Pages | 957-962 |

Number of pages | 6 |

ISBN (Electronic) | 978-1-5386-1395-5 |

ISBN (Print) | 978-1-5386-1396-2 |

DOIs | |

State | Published - 18 Jan 2019 |

Event | 57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States Duration: 17 Dec 2018 → 19 Dec 2018 Conference number: 57 |

### Conference

Conference | 57th IEEE Conference on Decision and Control, CDC 2018 |
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Abbreviated title | CDC 2018 |

Country | United States |

City | Miami |

Period | 17/12/18 → 19/12/18 |

### Fingerprint

### Cite this

*2018 IEEE Conference on Decision and Control, CDC 2018*(pp. 957-962). [8619494] Piscataway: Institute of Electrical and Electronics Engineers. DOI: 10.1109/CDC.2018.8619494

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*2018 IEEE Conference on Decision and Control, CDC 2018.*, 8619494, Institute of Electrical and Electronics Engineers, Piscataway, pp. 957-962, 57th IEEE Conference on Decision and Control, CDC 2018, Miami, United States, 17/12/18. DOI: 10.1109/CDC.2018.8619494

**Periodic event-triggered output feedback control of nonlinear systems.** / Wang, W.; Postoyan, R.; Nessic, D.; Heemels, W.P.M.H.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Periodic event-triggered output feedback control of nonlinear systems

AU - Wang,W.

AU - Postoyan,R.

AU - Nessic,D.

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

PY - 2019/1/18

Y1 - 2019/1/18

N2 - We investigate the stabilization of perturbed nonlinear systems using output-based periodic event-triggered controllers. Thus, the communication between the plant and the controller is triggered by a mechanism, which evaluates an output- and input-dependent rule at given sampling instants. We address the problem by emulation. Hence, we assume the knowledge of a continuous-time output feedback controller, which robustly stabilizes the system in the absence of network. We then implement the controller over the network and model the overall system as a hybrid system. We design the event-triggered mechanism to ensure an input-to-state stability property. An explicit bound on the maximum allowable sampling period at which the triggering rule is evaluated is provided. The analysis relies on the construction of a novel hybrid Lyapunov function. The results are applied to a class of Lipschitz nonlinear systems, for which we formulate the required conditions as linear matrix inequalities. The effectiveness of the scheme is illustrated via simulations of a nonlinear example.

AB - We investigate the stabilization of perturbed nonlinear systems using output-based periodic event-triggered controllers. Thus, the communication between the plant and the controller is triggered by a mechanism, which evaluates an output- and input-dependent rule at given sampling instants. We address the problem by emulation. Hence, we assume the knowledge of a continuous-time output feedback controller, which robustly stabilizes the system in the absence of network. We then implement the controller over the network and model the overall system as a hybrid system. We design the event-triggered mechanism to ensure an input-to-state stability property. An explicit bound on the maximum allowable sampling period at which the triggering rule is evaluated is provided. The analysis relies on the construction of a novel hybrid Lyapunov function. The results are applied to a class of Lipschitz nonlinear systems, for which we formulate the required conditions as linear matrix inequalities. The effectiveness of the scheme is illustrated via simulations of a nonlinear example.

UR - http://www.scopus.com/inward/record.url?scp=85062164839&partnerID=8YFLogxK

U2 - 10.1109/CDC.2018.8619494

DO - 10.1109/CDC.2018.8619494

M3 - Conference contribution

SN - 978-1-5386-1396-2

SP - 957

EP - 962

BT - 2018 IEEE Conference on Decision and Control, CDC 2018

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

ER -