## Abstract

We consider a linear control system, where the sensors communicate to the controller via a wireless network in which the probability of successful data transmissions is an increasing function of the selected radio signal power. We tackle the problem of jointly selecting the transmission power at every transmission time as a function of the state, much like in event-triggered control systems, and of designing a controller in order to minimize an average quadratic cost. Our proposed power scheduler and corresponding control policy are shown to outperform the optimal control policy when the radio signal power is constant at all times, while using at most the same average transmission power. For this result to hold, the function relating the transmission power to the probability of successful transmission must be convex in the region of interest. We call such a policy LQ-power consistent.

Original language | English |
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Title of host publication | European Control Conference 2020, ECC 2020 |

Publisher | Institute of Electrical and Electronics Engineers |

Pages | 1701-1706 |

Number of pages | 6 |

ISBN (Electronic) | 9783907144015 |

Publication status | Published - 20 Jul 2020 |

Event | 2020 European Control Conference, ECC 2020 - Saint Petersburg, Russian Federation Duration: 12 May 2020 → 15 May 2020 |

### Conference

Conference | 2020 European Control Conference, ECC 2020 |
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Abbreviated title | ECC 2020 |

Country/Territory | Russian Federation |

City | Saint Petersburg |

Period | 12/05/20 → 15/05/20 |