Event-Triggered Control for Synchronization

• Main Author: Golfinger, Sergej
• Format: Others
• Language: English
• Published: KTH, Reglerteknik 2012
• Online Access: http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-98869

The first main part of this thesis presents a novel distributed event-based control strategy for the synchronization of a network consisting of N identical dynamical linear systems. The problem statement can be interpreted as a generalization of a classical event-based consensus problem. Each system updates its control signals according to some triggering conditions based on local information only. Starting with the event-based synchronization with state feedback two different approaches are derived. The trigger functions of the first approach depend on the transfered system states, while the trigger conditions of the second approach depend on the control inputs. The advantages (or otherwise) of both approaches and implementations are discussed. Furthermore, we extend the problem setup to the synchronization with a dynamic output feedback coupling and transfer the both event-based methods to this problem. The novel proposed approaches yields to the general results for the event-based synchronization for linear systems. In the second smaller part we present a new method for the distributed event-based synchronization of Kuramoto oscillators. We assume a uniform Kuramoto model of N all-to-all connected oscillators with different natural frequencies. Throughout the report, simulation results validate and illustrate the proposed theoretical results.