Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE credits
The first main part of this thesis presents a novel distributed event-based control strategy
for the synchronization of a network consisting of
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
all-to-all connected oscillators with different natural frequencies.
Throughout the report, simulation results validate and illustrate the proposed theoretical
2012. , 83 p.
Dimarogonas, Dimos V.