Paper in invited session @ virtual ECC 2021

Encrypted implementations of dynamic controllers such as PID or linear-quadratic Gaussian (LQG) controllers are highly relevant for practice but suffer from a finite operating time. Most existing methods that address this issue have shortcomings such as, e.g., high computational load, communication overhead, and/or robustness issues. We show in our paper that FIR filter-based approximations of dynamic controllers allow for an unlimited operating time and elegantly circumvent these problems. Furthermore, FIR filters achieve high cryptographic efficiency. In fact, in our numerical example a fully homomorphic implementation of a FIR filter has real-time capability. Contact Nils for further details or have a look at the paper:

N. Schlüter, M. Neuhaus, and M. Schulze Darup, Encrypted dynamic control with unlimited operating time via FIR filters, in Proc. of the 19th European Control Conference (ECC), 2021.