Optimal Control for Linear Networked Control Systems with Information Transmission Constraints

Aspeel, Antoine;Rutledge, Kwesi;Jungers, Raphaël;Macq, Benoît;Ozay, Necmiye;et.al.
(2021) 60th IEEE Conference on Decision and Control (CDC) — Location: Austin, Texas (14.December.2021)

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This paper addresses the problem of robust control of a linear discrete-time system subject to bounded disturbances and to measurement and control budget constraints.Using Q-parameterization and a polytope containment method, we prove that the co-design of an affine feedback controller, a measurement schedule and a control schedule can be exactly formulated as a mixed integer linear program with 2 binary variables per time step. As a consequence, this problem can be solved efficiently, even when an exhaustive search for measurement and control times would have been impossible in a reasonable amount of time.
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Aspeel, A., Rutledge, K., Jungers, R., Macq, B., Ozay, N., & et al. (2021). Optimal Control for Linear Networked Control Systems with Information Transmission Constraints. Published. 60th IEEE Conference on Decision and Control (CDC), Austin, Texas. https://doi.org/10.1109/CDC45484.2021.9683476