Authors:
Feng Wan,
Li-Xin Wang,
Volume: 1, Page 858 Paper number 1208
Abstract:
This paper addresses the persistent excitation conditions of adaptive
fuzzy systems in the identifications of nonlinear functions and nonlinear
dynamical systems. The adaptive fuzzy system is constructed as a standard
fuzzy system and the parameters in the fuzzy system are tuned on-line
by the orthogonal projection algorithm. We first give the conditions
under which the parameters in the fuzzy system can be uniquely determined,
and then propose methods to design input signals with the persistent
excitation property for adaptive fuzzy systems in the identifications
of nonlinear moving average and auto-regressive moving average systems.
Authors:
Ying Tan,
Jian-Xin Xu,
Volume: 1, Page 864 Paper number 9804
Abstract:
This paper presents a control scheme which learns the inverse mapping
of a dynamic system by an orthonormal wavelet network. To compensate
the modeling error caused by the model parameterization, feedback is
added. The inverse mapping of dynamic system proposed here is defined
as a mapping between the output trajectory and input trajectory. Training
samples are chosen such that they can cover input trajectory space
uniformly both in the amplitude domain and frequency domain . Here
amplitude domain depends on the actuator while the frequency domain
depends on sampling period of control system. For trajectory training,
there are a lot of sample data(not sample trajectory) which enhance
the complexity of modeling problem. Hence data compression is used
by wavelet threshold which is a method frequently used in signal processing.
The performance of proposed algorithm is illustrated by compute simulation
experiment.
Authors:
Youshen Xia,
Jun Wang,
Volume: 1, Page 870 Paper number 1023
Abstract:
Recently, a class of dynamic neural systems were presented and analyzed
due to their good performance in optimization computation and low complexity
for implementation. The global asymptotic stability of dynamic neural
systems with symmetric weights was well studied. In this paper, we
investigate the global asymptotical stability of a dynamic neural system
with asymmetric weights. Since asymmetric weight cases are more general
than symmetric ones, the new results are significant in both theory
and applications.
Authors:
Jinyu Li,
Danwei Wang,
Volume: 1, Page 872 Paper number 1539
Abstract:
In this paper, a robust neural network control scheme is proposed for
robot tracking tasks. The neural network is trained on-line and the
weight tuning algorithm has a small dead zone to overcome bounded disturbances.
Under this proposed control scheme, it is shown that tracking error
bound is completely determined by neural network approximation error
bound, disturbance bound, as well as a control design parameter. The
tracking error bound does not depend on the weight estimation errors.
A two-link manipulator is used to illustrate the performance of the
control scheme.
Authors:
Sanqing Hu,
Jun Wang,
Volume: 1, Page 877 Paper number 1183
Abstract:
This paper presents new analytical results on the global asymptotic
stability for the equilibrium states of a general class of discrete-time
recurrent neural networks (DTRNNs) described by using a set of nonlinear
difference equations. We at first provide several conditions for the
global asymptotic stability of such DTRNNs. Because these conditions
are not easy to be verified for a general DTRNN, to be more testable,
we then present many sufficient conditions for the global asymptotic
stability of DTRNNs. The resulting criteria include diagonal stability,
global asymptotic stability by bounded constraint, and nondiagonal
stability. These stability conditions are less restrictive than the
existing ones in literature.
Authors:
Ming Liu,
Volume: 1, Page 883 Paper number 1200
Abstract:
The global ultimate stability of a decentralized adaptive fuzzy controller
for trajectory tracking of robot manipulators is presented. Employing
a PD control and a cubic feedback to ensure the global stability for
robot tracking, an adaptive fuzzy logic scheme is incorporated to reduce
the effects of interconnections, frictions, gravity force and other
uncertainties. It shows that with a very limited knowledge on the sizes
of interconnection terms, the controller guarantees the global ultimate
boundedness of tracking errors. As the overall controller is based
on a decentralized controller structure, it results in very simple
fuzzy rules which can be implemented in most robot systems without
hardware alternation. The simulation results are included for verification.
Authors:
Alexander S. Poznyak,
Edgar N. Sanchez,
Orlando Palma,
Wen Yu,
Volume: 1, Page 889 Paper number 1945
Abstract:
This paper concerns the development of output trajectory tracking by
means of dynamic neural networks for a class of unknown nonlinear systems.
In order to obtain this tracking, first we develop a robust asymptotic
neuro-observer. This Luenberger type observer includes two important
terms: a first one, which assure the boundness of the weights and a
second one, which introduces a time-delay term in order to approximate
the derivatives of the measurable states. The Lyapunov-Krasovskii technique
is used to proof the robust asymptotic stability ''on average'' of
the neuro observer as well as boundness of the observation error. Then
the trajectory tracking error is analyzed on the basis of a local optimal
controller. Work is in progress to test the applicability of the approach
to a nonlinear system such as a robotic manipulator.
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