Synchronization of Perturbed Linear Systems with Data-Rate Constraints

Quentin Voortman (1, 2) , Denis Efimov (1) , Alexander Yu Pogromsky (2, 3) , Jean-Pierre Richard (4) , Henk Nijmeijer (2)

1 VALSE - Finite-time control and estimation for distributed systems
2 TU/e - Eindhoven University of Technology [Eindhoven]
3 ITMO University [Russia]
4 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189

In this paper, we consider the synchronization of two linear systems that are subject to unknown perturbations. One of the systems is driven by a reference signal, which is unknown to the second system. Both systems can only use a one-way communication channel to exchange information. The channel is subject to data-rate constraints. The messages are generated by a smart sensor that measures the state and is capable of performing some computations. The messages are received by a controller which interprets them to apply an appropriate control input to the system. The objective is to design a sensor/controller pair, which we will refer to as a communication protocol, such that the distance between the states of both systems is bounded, and as small as possible communication rate is necessary. In this paper, a communication protocol that achieves this objective is presented together with the minimum channel rate to implement it. Simulations of the communication protocol are provided to support the theoretical work.

Domaines: Automatique / Robotique

Quentin Voortman, Denis Efimov, Alexander Yu Pogromsky, Jean-Pierre Richard, Henk Nijmeijer. Synchronization of Perturbed Linear Systems with Data-Rate Constraints. CDC 2020 - 59th IEEE Conference on Decision and Control, Dec 2020, Jeju Island / Virtual, South Korea. ⟨hal-02942416⟩