Authors:
Muruhan Rathinam,
Linda R. Petzold,
Volume: 1, Page 4630 Paper number 1738
Abstract:
We describe a new iterative method for simulation of large scale modular
systems using reduced order models that preserve the interconnection
structure.Our technique essentially involves simulating in turn each
subsystem connected to model reduced versions of the rest of the subsystems.The
data from this simulation is then used to update the reduced model
for that particular subsystem. We illustrate the method using a power
grid example modelled by nonlinear swing equations.
Authors:
Quan-Gen Zhou,
Edward J. Davison,
Volume: 1, Page 4636 Paper number 2061
Abstract:
In this paper, a simplified algorithm for constructing an internally
balanced realization of a Laguerre network model is presented. Both
continuous-time and discrete-time cases are treated in a unified framework.
The algorithm does not require the computation of controllability and
observability grammians, which makes it highly efficient, compared
to existing procedures. An example is given to illustrate the method.
Authors:
Stéphane Mottelet,
Volume: 1, Page 4641 Paper number 11
Abstract:
This paper deals with the modeling and the mathematical analysis of
problems involving a rectangular container. The container is controlled
via a longitudinal acceleration in order to move it from one location
to another, and the key problem is the suppression of sloshing. Practical
control problems involving this system have been studied, from a numerical
and experimental point of view in a paper of Terashima, Schmidt and
Nomura, but the mathematical analysis was not deep enough. Here we
develop a suitable theoretical framework which allows us to show that
approximate controllability in finite time does not hold. We also study
the stability of the system when the elevation of the surface is measured
at the right end of the container, and a static negative acceleration
feedback is used. We show that strong stability holds (but with a non-uniform
decay), although the perturbation caused by the feedback on the system
operator is not dissipative in the natural topology.
Authors:
Che Tat Choi,
Chi Kwong Li,
Volume: 1, Page 4647 Paper number 1077
Abstract:
This paper analyzes the large signal model of a quasi-resonant buck
converter using a unified model. The internal resistance of each component
in the basic quasi-resonant switch model (QRSW) is taken into consideration.
The parameters can be predicted under varying supply voltage and load
current. In other words, the variation of switching frequency, which
is a controller parameter, can be determined while the output voltage
keeps regulating. It is useful for designing an adaptive feedback controller.
The power dissipation is analyzed so that the efficiency can be estimated.
Moreover, the conduction loss of each component can be found. The critical
component in power dissipation is known and the maximum efficiency
can be predicted.
Authors:
Thomas J. de Hoog,
Peter S.C. Heuberger,
Paul M.J. van den Hof,
Volume: 1, Page 4649 Paper number 1445
Abstract:
In this paper a general transform theory is presented that underlies
expansions of stable discrete-time transfer functions in terms of rational
orthonormal bases. The types of bases considered are generated by cascade
connections of stable all-pass functions. If the all-pass sections
in such a network are all equal, this gives rise to the Hambo basis
construction. In this paper a more general construction is studied
in which the all-pass functions are allowed to be different, in terms
of choice and number of poles that are incorporated in the all-pass
functions. It is shown that many of the interesting properties of the
so-called Hambo transform that underlies the Hambo basis expansion
carry over to the general case. Especially the recently developed expressions
for the computation of the Hambo transform on the basis of state-space
expressions can be extended to the general basis case. This insight
can for instance be applied for the derivation of a recursive algorithm
for the computation of the expansion coefficients, which are then obtained
as the impulse response coefficients of a linear time-varying system.
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