Event-Triggered Control Through the Eyes of a Hybrid Small-Gain Theorem

• Published in: IEEE transactions on automatic control Vol. 68; no. 10; pp. 1 - 16
• Main Authors: Maass, Alejandro I., Wang, Wei, Nesic, Dragan, Postoyan, Romain, Heemels, W.P.M.H.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.10.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE); Institute of Electrical and Electronics Engineers
• Subjects: Automatic; Dynamical systems; Engineering Sciences; Event triggered control; Feedback control; Hybrid systems; networked control systems; Nonlinear control; Nonlinear systems; small-gain theorem; State feedback; Theorems; networked control systems; hybrid systems; Event-triggered control; small-gain theorem
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2022.3230011

A unifying design perspective is presented for emulation-based (dynamic) event-triggered state-feedback control of nonlinear systems. The main component of this new approach is to interpret event-triggered controlled systems as the interconnection of hybrid dynamical systems and to analyse the overall system using a hybrid small gain theorem. Based on this new perspective, we unify several event-triggered schemes that were previously proposed in the literature under one umbrella. Moreover, the design approach offers great flexibility and can be used for the development of novel event-triggered schemes and systematic modification and improvement of existing triggering strategies. We illustrate via simulations that these novel and/or modified event-triggered controllers can lead to a further reduction in the required number of transmissions, while still guaranteeing stability.