Authors:
Nuno C. Martins,
Saligrama Venkatesh,
Munther A. Dahleh,
Volume: 1, Page 4162 Paper number 1131
Abstract:
In this paper, the Kronecker product of matrices is used to achieve
the decomposition of finite dimension linear systems into a set of
decoupled systems of smaller dimension. A class of systems is specified
for which such decomposition can be carried out. Two particular cases
of application are studied.
Authors:
Jianghai Hu,
Maria Prandini,
Shankar Sastry,
Volume: 1, Page 4164 Paper number 1743
Abstract:
In this paper, we study conflict resolution for multiple aircraft encounter
situations on a plane. First, the homotopy types of resolution maneuvers
for n aircraft encounters are classified according to their images
in the joint space-time coordinates, which are shown to bear a one-to-one
correspondence with the well-known pure braid group. Energy is then
proposed as the cost function for choosing among all conflict-free
maneuvers the optimal one. For two aircraft encounters, analytic expressions
of the optimal resolution maneuvers are obtained, and for the multiple
aircraft case, convex optimization technique is used to find the optimal
two-legged resolution maneuver within each type. The introduced solution,
however, becomes computationally intractable as the number of aircraft
increases. The use of a probabilistic resolution algorithm as ``random
type chooser'' is then suggested as a randomized solution to the combinatorial
optimization problem. Finally, simulation results are presented for
some typical encounters.
Authors:
Aleksandar M. Stanković,
Bernard C. Lesieutre,
Alexander Megretski,
Volume: 1, Page 4170 Paper number 108
Abstract:
In this paper we address the issue of improving transmission security
in a deregulated power market. We propose an optimization procedure
that assures that transmission security is maintained, and generates
minimal corrections in existing contractual transactions that are
necessary to ensure security. Our procedure is based on a DC load flow,
and as such it is intended as a screening tool, and a source of candidate
control actions that will be later refined by a more accurate (AC)
model. Our approach may also enable faster calculations of important
operational quantities like Available Transfer Capability (ATC).
Authors:
Carlos A. Brizuela,
Nobuo Sannomiya,
Volume: 1, Page 4174 Paper number 1571
Abstract:
This paper has two main goals. One is to point out the gap existing
between the classical job shop problem, for which many procedures
have been developed, and a real manufacturing problem that generalizes
the job shop, highlighting the points needed to be strengthened in
order to get more pragmatic results. The second goal is to design
an efficient (acceptable solution quality and fast) method to solve
a real problem coming from a manufacturing process. The first goal
is achieved by a rigorous definition of both problems emphasizing
the differences. The second goal is achieved by applying problem-specific
knowledge to the schedule construction method. Numerical experiments
are presented as a justification of our second achievement.
Authors:
Jianbo Hu,
Hongye Su,
Weimin Wu,
Jian Chu,
Volume: 1, Page 4181 Paper number 8014
Abstract:
The problem of the stable orbit of the small satellite flying around
the space station is transformed into the sliding-mode control problem.
Then, the sliding-mode controllers are proposed to guarantee the existence
of sliding-mode motion, and they are relay-type controllers. Meanwhile,
the motion of the small satellite will enter and maintain on the sliding-mode
in a finite time, and the stable orbit of the small satellite flying
around the space station is obtained. In order to economize the energy
and restrain the chatting of control signals, the sliding-mode with
dead region is proposed, and the corresponding controllers are derived
to make the motion of the closed-loop system enter a defined region.
The total influence of the parameters in our controllers to the working
performance of the closed-loop system is discussed by simulation.
|