In this paper, an event-triggering approach is proposed for a robust model predictive control method. The approach is applicable to constrained, linear time-invariant systems with bounded, additive disturbances. At each triggering instant, the triggering mechanism is designed online using a linear programming approach. Intuitively, the mechanism is a sequence of hyper-rectangles that surround the optimal state trajectory, over the prediction horizon. Standard analyses of robust feasibility and robust stability of the closed-loop, event-triggered control system are conducted. A numerical example is presented to show benefits of the proposed approach. In particular and under the assumption that the disturbance has a uniform distribution, we further study some statistical properties of the generated triggering instants.
|Title of host publication||Proceedings of the IEEE 58th Conference on Decision and Control, CDC 2019|
|Publication status||Published - 2019|
|Event||58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France|
Duration: 11 Dec 2019 → 13 Dec 2019
|Conference||58th IEEE Conference on Decision and Control, CDC 2019|
|Period||11/12/19 → 13/12/19|
Bibliographical noteGreen Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.