Observer-based event-triggered control in the presence of cone-bounded nonlinear inputs. (August 2019)

• Record Type: Journal Article
• Authors: Moreira, L.G.; Tarbouriech, S.; Seuret, A.; Gomes da Silva Jr., J.M.
• Is Part Of: Nonlinear analysis. Volume 33(2019)
• Page Start: 17
• Page End: 32
• Publication Date: 2019-08
• Subjects: Event-triggered control -- Cone-bounded nonlinearities -- Observer-based control -- Stability -- LMI; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2019.01.003
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: 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.