Scheduling Rigid Demands on Continuous-Time Linear Shift-Invariant Systems
Abstract
We consider load scheduling on constrained continuous-time linear dynamical systems, such as automated irrigation and other distribution networks. The requested loads are rigid, i.e., the shapes cannot be changed. Hence, it is only possible to shift the order back-and-forth in time to arrive at a feasible schedule. We present a numerical algorithm based on using log-barrier functions to include the state constraints in the social cost function (i.e., an appropriate function of the scheduling delays). This algorithm requires a feasible initialization. Further, in another algorithm, we treat the state constraints as soft constraints and heavily penalize the constraint violations. This algorithm can even be initialized at an infeasible point. The applicability of both these numerical algorithms is demonstrated on an automated irrigation network with two pools and six farms.
Cite
@article{arxiv.1509.05499,
title = {Scheduling Rigid Demands on Continuous-Time Linear Shift-Invariant Systems},
author = {Farhad Farokhi and Michael Cantoni and Iman Shames},
journal= {arXiv preprint arXiv:1509.05499},
year = {2016}
}
Comments
Accepted for Presentation at the 54th IEEE Conference on Decision and Control (CDC 2015)