Authors:
Garry A. Einicke,
Langford B. White,
Robert R. Bitmead,
Volume: 1, Page 3887 Paper number 1538
Abstract:
This paper describes an adaptive nonlinear filter for tracking superimposed
signals. The filter gain is selected via a fake algebraic Riccati
equation. A passivity approach is applied to deduce stability conditions
for the filter error system. The performance is compared with an extended
Kalman filter for tracking multiple frequency modulated signals.
Authors:
Rickard Karlsson,
Niclas Bergman,
Volume: 1, Page 3891 Paper number 1642
Abstract:
We consider the recursive state estimation of a highly maneuverable
target. In contrast to standard target tracking literature we do not
rely on linearized motion models and measurement relations, or on any
Gaussian assumptions. Instead, we apply optimal recursive Bayesian
filters directly to the nonlinear target model. We present novel sequential
simulation based algorithms developed explicitly for the maneuvering
target tracking problem. These Monte Carlo filters perform optimal
inference by simulating a large number of tracks, or particles. Each
particle is assigned a probability weight determined by its likelihood.
The main advantage of our approach is that linearizations and Gaussian
assumptions need not be considered. Instead, a nonlinear model is directly
used during the prediction and likelihood update. Detailed nonlinear
dynamics models and non-Gaussian sensors can therefore be utilized
in an optimal manner resulting in high performance gains. In a simulation
comparison with current state-of-the-art tracking algorithms we show
that our approach yields performance improvements. Moreover, incorporation
of physical constraints with sustained optimal performance is straightforward,
which is virtually impossible to incorporate for linear Gaussian filters.
With the particle filtering approach we advocate these constraints
are easily introduced and improve the results.
Authors:
Yong Shik Kim,
Keum Shik Hong,
Volume: 1, Page 3896 Paper number 1580
Abstract:
The probabilistic data association filter (PDAF) is known to provide
better tracking performance than the standard Kalman filter (KF) in
a cluttered environment. In this paper, the stability of the modified
PDAF of Fortmann et al. [7], in the presence of uncertainties with
regard to the origin of a measurement, is investigated. The modified
Riccati equation derived by approximating two random terms with their
expectations is used to prove the stability of the modified PDAF. A
new Lyapunov function based approach, which is different from the quantitative
evaluation of Li and Bar-Shalom [17], is pursued. With the assumption
that the system and observation noises are bounded, specific tracking
error bounds are established.
Authors:
Matthew Bement,
Suhada Jayasuriya,
Volume: 1, Page 3902 Paper number 1046
Abstract:
In this paper we consider the problem of multivariable tracking for
stable plants. Specifically, a new method is proposed for constructing
a feedback controller which, for certain cases, is of lower order than
the controller constructed via the classical robust servomechanism
method. Viewed from a tracking standpoint, the servomechanism method
results in what may be considered an overdesign. For example, in a
two input, two output system, where the first reference input is a
step and the second reference input is a sinusoid of a known frequency,
w, the controller obtained via the classical robust servomechanism
method allows each output to track a reference input which is of the
form A+B sin(wt). For many applications, this may not be necessary.
As will be shown, the reduced order controller, which is obtained by
carefully designing the Q-parameter, does not exhibit this behavior.
An example of a two input, two output system is given to illustrate
the method.
Authors:
Sun-Mog Hong,
Robin J. Evans,
Han-Seop Shin,
Volume: 1, Page 3906 Paper number 1030
Abstract:
An optimization problem is formulated to obtain the combined sequence
of waveform parameters (pulse amplitudes and lengths, and FM sweep
rates) and detection thresholds for optimal target tracking in clutter.
The optimal combined sequence minimizes a tracking performance index
that is a function of the probability of track loss and the estimation
accuracy. A measurement model is also developed based on the resolution
cell in the delay-Doppler plane for a Gaussian pulse.
Authors:
Mark E. Halpern,
Boris T. Polyak,
Volume: 1, Page 3908 Paper number 1572
Abstract:
For discrete-time scalar systems, we propose an approach for designing
feedback controllers of fixed order to minimize an upper bound on the
peak magnitude of the tracking error to a given command input. The
work makes use of linear programming to design over a class of closed-loop
systems recently proposed for the rejection of non-zero initial conditions
and bounded disturbances. Performance robustness in the form of a guaranteed
upper bound on the peak magnitude of the tracking error under plant
uncertainty is incorporated into the formulation.
Authors:
Fang Liao,
Jian Liang Wang,
Guang-Hong Yang,
Volume: 1, Page 3914 Paper number 1403
Abstract:
In this paper, we consider the reliable robust tracking controller
design problem against actuator faults and control surface damages
for a LTI system with input disturbance. First, models of actuator
faults and control surface damages are presented. Then a reliable tracking
controller design method is developed, which guarantees the closed-loop
system stability, optimizes the tracking performance of the system
in normal operations, and maintains an acceptable low-level tracking
performance of the system in the event of actuator faults and/or control
surface damages. This method is based on LQ/H-infinity tracking performance
indices and multi-objective optimization in terms of linear matrix
inequalities. A numerical example of an F-16 aircraft model and its
simulation results are given.
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