Abstract
| Original language | English |
|---|---|
| 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 |
|---|---|
| Abbreviated title | CDC-ECC 2011 |
| Country | United States |
| City | Orlando, FL |
| Period | 12/12/11 → 15/12/11 |
| Internet address |
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On the minimum attention control problem for linear systems : a linear programming approach. / Donkers, M.C.F.; Tabuada, P.; Heemels, W.P.M.H.
Proceedings of the 50th IEEE Conference on Decision and Control (CDC 2011), 12-15 December 2011, Orlando, USA. Piscataway : Institute of Electrical and Electronics Engineers, 2011. p. 4717-4722.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 -