Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 1279-1287 |
| Number of pages | 9 |
| Journal | Automatica |
| Volume | 50 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2014 |
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Self-triggered linear quadratic control. / Gommans, T.M.P.; Guerreiro Tomé Antunes, D.J.; Donkers, M.C.F.; Tabuada, P.; Heemels, W.P.M.H.
In: Automatica, Vol. 50, No. 4, 2014, p. 1279-1287.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - Self-triggered linear quadratic control
AU - Gommans, T.M.P.
AU - Guerreiro Tomé Antunes, D.J.
AU - Donkers, M.C.F.
AU - Tabuada, P.
AU - Heemels, W.P.M.H.
PY - 2014
Y1 - 2014
N2 - Self-triggered control is a recently proposed paradigm that abandons the more traditional periodic time-triggered execution of control tasks with the objective of reducing the utilization of communication resources, while still guaranteeing desirable closed-loop behavior. In this paper, we introduce a self-triggered strategy based on performance levels described by a quadratic discounted cost. The classical LQR problem can be recovered as an important special case of the proposed self-triggered strategy. The self-triggered strategy proposed in this paper possesses three important features. Firstly, the control laws and triggering mechanisms are synthesized so that a priori chosen performance levels are guaranteed by design. Secondly, they realize significant reductions in the usage of communication resources. Thirdly, we address the co-design problem of jointly designing the feedback law and the triggering condition. By means of a numerical example, we show the effectiveness of the presented strategy. In particular, for the self-triggered LQR strategy, we show quantitatively that the proposed scheme can outperform conventional periodic time-triggered solutions. Keywords : Self-triggered control; Networked control systems; Linear quadratic regulator; Limiting control actions; LQG control
AB - Self-triggered control is a recently proposed paradigm that abandons the more traditional periodic time-triggered execution of control tasks with the objective of reducing the utilization of communication resources, while still guaranteeing desirable closed-loop behavior. In this paper, we introduce a self-triggered strategy based on performance levels described by a quadratic discounted cost. The classical LQR problem can be recovered as an important special case of the proposed self-triggered strategy. The self-triggered strategy proposed in this paper possesses three important features. Firstly, the control laws and triggering mechanisms are synthesized so that a priori chosen performance levels are guaranteed by design. Secondly, they realize significant reductions in the usage of communication resources. Thirdly, we address the co-design problem of jointly designing the feedback law and the triggering condition. By means of a numerical example, we show the effectiveness of the presented strategy. In particular, for the self-triggered LQR strategy, we show quantitatively that the proposed scheme can outperform conventional periodic time-triggered solutions. Keywords : Self-triggered control; Networked control systems; Linear quadratic regulator; Limiting control actions; LQG control
U2 - 10.1016/j.automatica.2014.02.030
DO - 10.1016/j.automatica.2014.02.030
M3 - Article
VL - 50
SP - 1279
EP - 1287
JO - Automatica
JF - Automatica
SN - 0005-1098
IS - 4
ER -