In this paper, a self-triggered control scheme for constrained discrete-time control systems is presented. The key idea of our approach is to construct a transition system or a graph structure from a collection of polyhedral sets, which are generated based on the notion of {set-invariance theory}. The inter-event time steps are then determined through a standard graph search algorithm to obtain the minimal total cost to a terminal state. The proposed strategy is illustrated through a numerical example.
@article{arxiv.1702.04890,
title = {Self-triggered control for constrained systems: a contractive set-based approach (Technical report)},
author = {Kazumune Hashimoto and Shuichi Adachi and Dimos V. Dimarogonas},
journal= {arXiv preprint arXiv:1702.04890},
year = {2017}
}