6,792 research outputs found
Incentivizing Truth-Telling in MPC-based Load Frequency Control
We present a mechanism for socially efficient implementation of model
predictive control (MPC) algorithms for load frequency control (LFC) in the
presence of self-interested power generators. Specifically, we consider a
situation in which the system operator seeks to implement an MPC-based LFC for
aggregated social cost minimization, but necessary information such as
individual generators' cost functions is privately owned. Without appropriate
monetary compensation mechanisms that incentivize truth-telling,
self-interested market participants may be inclined to misreport their private
parameters in an effort to maximize their own profits, which may result in a
loss of social welfare. The main challenge in our framework arises from the
fact that every participant's strategy at any time affects the future state of
other participants; the consequences of such dynamic coupling has not been
fully addressed in the literature on online mechanism design. We propose a
class of real-time monetary compensation schemes that incentivize market
participants to report their private parameters truthfully at every time step,
which enables the system operator to implement MPC-based LFC in a socially
optimal manner
Optimal Output Feedback Architecture for Triangular LQG Problems
Distributed control problems under some specific information constraints can
be formulated as (possibly infinite dimensional) convex optimization problems.
The underlying motivation of this work is to develop an understanding of the
optimal decision making architecture for such problems. In this paper, we
particularly focus on the N-player triangular LQG problems and show that the
optimal output feedback controllers have attractive state space realizations.
The optimal controller can be synthesized using a set of stabilizing solutions
to 2N linearly coupled algebraic Riccati equations, which turn out to be easily
solvable under reasonable assumptions.Comment: To be presented at 2014 American Control Conferenc
Gauge invariance, massless modes and topology of gauge fields in multi-band superconductors
Multi-phase physics is a new physics of multi-gap superconductors. Multi-band
superconductors exhibit many interesting and novel properties. We investigate
the dynamics of the phase-difference mode and show that this mode yields a new
excitation mode. The phase-difference mode is represented as an abelian vector
field. There are massless modes when the number of gaps is greater than three
and the Josephson term is frustrated. The fluctuation of phase-difference modes
with non-trivial topology leads to the existence of a fractional-quantum flux
vortex in a magnetic field. A superconductor with a fractional-quantum flux
vortex is regarded as a topological superconductor with the integer Chern
number.Comment: Proceedings of the 12th Asia and Pacific Physics Conference (2013
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