Observer-based event-triggered control in the presence of cone-bounded nonlinear inputs

L.G. Moreira (1) , Sophie Tarbouriech (2) , Alexandre Seuret (2) , João Manoel Gomes da Silva (1)

1 UFRGS - Universidade Federal do Rio Grande do Sul [Porto Alegre]
2 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande

This paper presents an observer-based event-triggered strategy for linear systems subject to input cone-bounded nonlinearities. Both the emulation and co-design problems are addressed. Considering a Lyapunov approach and the cone-bound property of the input nonlinearity, sufficient conditions based on linear matrix inequalities are derived to ensure regional or global asymptotic stability of the origin of the closed-loop system. These conditions are incorporated into convex optimization problems to optimally determine the event generator parameters and the controller gain (in the co-design case) aiming at reducing the number of control updates with respect to periodic implementations for a prescribed observer gain. The event-triggering strategy considers a dwell time to cope with Zeno behaviors. Numerical examples, considering systems with quantized logarithmic inputs and saturating inputs, illustrate the potentialities of the approach.

Mots clés: Event-triggered control; Cone-bounded nonlinearities; Observer-based control; Stability; LMI; cone-bounded nonlinearities; observer-based control; stability

Domaines: Automatique / Robotique

L.G. Moreira, Sophie Tarbouriech, Alexandre Seuret, João Manoel Gomes da Silva. Observer-based event-triggered control in the presence of cone-bounded nonlinear inputs. Nonlinear Analysis: Hybrid Systems, 2019, 33, pp.17-32. ⟨10.1016/j.nahs.2019.01.003⟩. ⟨hal-02333037⟩