### Abstract

Original language | English |
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Title of host publication | Proceedings of the 50th IEEE Conference on Decision and Control (CDC 2011), 12-15 December 2011, Orlando, USA |

Place of Publication | Piscataway |

Publisher | Institute of Electrical and Electronics Engineers |

Pages | 4717-4722 |

ISBN (Print) | 978-1-61284-800-6 |

DOIs | |

Publication status | Published - 2011 |

Event | 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Hilton Orlando Bonnet Creek, Orlando, FL, United States Duration: 12 Dec 2011 → 15 Dec 2011 Conference number: 50 http://www.ieeecss.org/CAB/conferences/cdcecc2011/ |

### Conference

Conference | 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 |
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Abbreviated title | CDC-ECC 2011 |

Country | United States |

City | Orlando, FL |

Period | 12/12/11 → 15/12/11 |

Internet address |

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### Cite this

*Proceedings of the 50th IEEE Conference on Decision and Control (CDC 2011), 12-15 December 2011, Orlando, USA*(pp. 4717-4722). Piscataway: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2011.6161239

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*Proceedings of the 50th IEEE Conference on Decision and Control (CDC 2011), 12-15 December 2011, Orlando, USA.*Institute of Electrical and Electronics Engineers, Piscataway, pp. 4717-4722, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 12/12/11. https://doi.org/10.1109/CDC.2011.6161239

**On the minimum attention control problem for linear systems : a linear programming approach.** / Donkers, M.C.F.; Tabuada, P.; Heemels, W.P.M.H.

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

TY - GEN

T1 - On the minimum attention control problem for linear systems : a linear programming approach

AU - Donkers, M.C.F.

AU - Tabuada, P.

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

PY - 2011

Y1 - 2011

N2 - In this paper, we present two control laws that are tailored for control applications in which computational and/or communication resources are scarce. Namely, we consider minimum attention control, where the `attention' that a control task requires is minimised given certain performance requirements, and anytime attention control, where the performance under the `attention' given by a scheduler is maximised. Here, we interpret `attention' as the inverse of the time elapsed between two consecutive executions of a control task. By focussing on linear plants, by allowing for only a finite number of possible intervals between two subsequent executions of the control task, by making a novel extension to the notion of control Lyapunov functions and taking these novel extended control Lyapunov function to be infinity-norm-based, we can formulate the aforementioned control problems as online linear programs, which can be solved efficiently. Furthermore, we provide techniques to construct suitable infinity-norm-based extended control Lyapunov functions for our purposes. Finally, we illustrate the resulting control laws using numerical examples. In particular, we show that minimum attention control outperforms an alternative implementation-aware control law available in the literature.

AB - In this paper, we present two control laws that are tailored for control applications in which computational and/or communication resources are scarce. Namely, we consider minimum attention control, where the `attention' that a control task requires is minimised given certain performance requirements, and anytime attention control, where the performance under the `attention' given by a scheduler is maximised. Here, we interpret `attention' as the inverse of the time elapsed between two consecutive executions of a control task. By focussing on linear plants, by allowing for only a finite number of possible intervals between two subsequent executions of the control task, by making a novel extension to the notion of control Lyapunov functions and taking these novel extended control Lyapunov function to be infinity-norm-based, we can formulate the aforementioned control problems as online linear programs, which can be solved efficiently. Furthermore, we provide techniques to construct suitable infinity-norm-based extended control Lyapunov functions for our purposes. Finally, we illustrate the resulting control laws using numerical examples. In particular, we show that minimum attention control outperforms an alternative implementation-aware control law available in the literature.

U2 - 10.1109/CDC.2011.6161239

DO - 10.1109/CDC.2011.6161239

M3 - Conference contribution

SN - 978-1-61284-800-6

SP - 4717

EP - 4722

BT - Proceedings of the 50th IEEE Conference on Decision and Control (CDC 2011), 12-15 December 2011, Orlando, USA

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

ER -