1,271 research outputs found
Stabilization of a linear Korteweg-de Vries equation with a saturated internal control
This article deals with the design of saturated controls in the context of
partial differential equations. It is focused on a linear Korteweg-de Vries
equation, which is a mathematical model of waves on shallow water surfaces. In
this article, we close the loop with a saturating input that renders the
equation nonlinear. The well-posedness is proven thanks to the nonlinear
semigroup theory. The proof of the asymptotic stability of the closed-loop
system uses a Lyapunov function.Comment: European Control Conference, Jul 2015, Linz, Austri
A scalable line-independent design algorithm for voltage and frequency control in AC islanded microgrids
We propose a decentralized control synthesis procedure for stabilizing
voltage and frequency in AC Islanded microGrids (ImGs) composed of Distributed
Generation Units (DGUs) and loads interconnected through power lines. The
presented approach enables Plug-and-Play (PnP) operations, meaning that DGUs
can be added or removed without compromising the overall ImG stability. The
main feature of our approach is that the proposed design algorithm is
line-independent. This implies that (i) the synthesis of each local controller
requires only the parameters of the corresponding DGU and not the model of
power lines connecting neighboring DGUs, and (ii) whenever a new DGU is plugged
in, DGUs physically coupled with it do not have to retune their regulators
because of the new power line connected to them. Moreover, we formally prove
that stabilizing local controllers can be always computed, independently of the
electrical parameters. Theoretical results are validated by simulating in PSCAD
the behavior of a 10-DGUs ImG
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