L2-stability criterion for systems with decentralized asynchronous controllers

Jijju Thomas (1, 2, 3, 4) , Laurentiu Hetel (1, 2) , Christophe Fiter (1, 5) , Nathan van de Wouw (4) , Jean-Pierre Richard (6, 1, 2)

1 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
2 Centrale Lille
3 NON-A-POST - Non-Asymptotic estimation for online systems
4 TU/e - Eindhoven University of Technology [Eindhoven]
5 Université de Lille
6 NON-A - Non-Asymptotic estimation for online systems

This paper deals with the stability analysis of decentralized sampled-data Linear Time Invariant (LTI) control systems with asynchronous sensors and actuators. We consider the case where each controller in the decentralized setting has its own sampling and actuation frequency which translates to asynchrony between sensors and actuators. The errors induced due to sampling and asynchronicity are modelled using two different operator approaches, leading to simple L2-stability criteria for the overall decentralized control system. The simplicity of the obtained criteria is illustrated by an example and simulation results exhibit the effectiveness of the approach.

Domaines: Automatique

Jijju Thomas, Laurentiu Hetel, Christophe Fiter, Nathan van de Wouw, Jean-Pierre Richard. L2-stability criterion for systems with decentralized asynchronous controllers. 57th IEEE Conference on Decision and Control, Dec 2018, Miami Beach, Florida, United States. ⟨hal-01893547⟩