Co-optimization of control and actuator selection for cyber-physical systems

Chin-Yao Chang, Sonia Martínez and Jorge Cortés
Proceedings of the IFAC Distributed Estimation and Control in Networked Systems (7th NECSYS 2018) Groningen, the Netherlands, August 2018

Abstract:

This paper considers actuator selection problems which aim to maintain control performance of dynamical systems, and minimize operational costs or wear-and-tear of the actuators. The logical controls of actuators make the problem combinatorial, which make exhaustive search impractical. An actuator selection problem can be cast as a binary-integer programming with bilinear matrix inequalities (BIBMIs). In this paper, we first show that such non-convex optimization can be equivalently reformulated as an optimization problem with non-convexities restricted to binary decision variables. We next consider a continuous optimization which is equivalent to the BIBMIs, and leverage the continuous reformulation to derive a branch-and-bound method employing bound refinement. Numerical simulations demonstrate the effectiveness of the proposed approach.

File: main.pdf

Bib-tex entry:

@InProceedings{CYC-SM-JC:18-necsys,
author = {C.-Y. Chang and S. Mart{\'\i}nez and J. Cort\'es},
title = {Co-optimization of control and actuator selection for cyber-physical systems},
booktitle = {Proceedings of the IFAC Distributed Estimation and Control in Networked Systems},
pages = {118--123},
year = {2018},
address = {Groningen, The Netherlands},
month = {August}
}