Authors:
Vincent Fromion,
Volume: 1, Page 3528 Paper number 1925
Abstract:
This paper presents simple conditions ensuring that dynamical neural
networks are incrementally stable, that is Lipschitz continuous, on
(cal) L_p. A first interest of this result is that it ensures obviously
the continuity of the system as an operator from a signal space
to another signal space. This property may be interpreted in this
context as the ability for dynamical neural networks to interpolate.
In some sense, it is an extension of a well-known property of static
neural networks. A second interest of this result is linked to the
fact that the behaviors of Lipschitz continuous systems with respect
to specific inputs or initial condition problems can be completely
analyzed. Indeed, Lipschitz continuous systems have the steady-state
property with respect to any inputs belonging to (cal) L_p^e with
p(in) [1,(infinity)], i.e., their asymptotic behavior is uniquely
determined by the asymptotic behavior of the input. Moreover, the
Lipschitz continuity guarantees the existence of globally asymptotic
stable (in sense of Lyapunov) equilibrium points for all constant
inputs.
Authors:
Javier Campos,
Frank L. Lewis,
Rastko R. Selmic,
Volume: 1, Page 3534 Paper number 8006
Abstract:
A dynamics inversion compensation scheme is designed for control of
nonlinear discrete-time systems with input backlash. This paper extends
the dynamic inversion technique to discrete-time systems by using a
filtered prediction, and shows how to use a neural network (NN) for
inverting the backlash nonlinearity in the feedforward path. The technique
provides a general procedure for using NN to determine the dynamics
preinverse of an invertible discrete time dynamical system. A discrete-time
tuning algorithm is given for the NN weights so that the backlash compensation
scheme guarantees bounded tracking and backlash errors, and also bounded
parameter estimates. A rigorous proof of stability and performance
is given and a simulation example verifies performance. Unlike standard
discrete-time adaptive control techniques, no certainty equivalence
(CE) or linear-in-the-parameters (LIP) assumptions are needed.
Authors:
Dimitri Lefebvre,
Philippe Thomas,
Jean Marc Thiriet,
Nadhir Messai,
Abdellah El Moudni,
Volume: 1, Page 3541 Paper number 1591
Abstract:
This article is about traffic monitoring by the use of neural networks.
Magnetic sensors are used in order to extract on-line the flow and
density variables. Such variables are processed by the monitoring network
in order to detect and isolate incidents that disturb the traffic.
Our approach is based on a macroscopic model, and more precisely on
the fundamental flow-density diagram that characterizes the traffic.
An admissible region is defined in the flow-density space from this
diagram. Incidents are detected when the measured data are out of the
admissible region. The classification properties of neural networks
are used to design the monitoring network. The proposed method is applied
to the monitoring of a complex road junction in the city of Nancy in
France.
Authors:
Bruce D. Calvert,
Corneliu A. Marinov,
Volume: 1, Page 3547 Paper number 1073
Abstract:
An analog Hopfield type neural network is given, that identifies the
K largest components of a list d of N real numbers. The list to be
processed is a summand of the input currents of the neurons, and the
network is started from 0. We provide easily computable restrictions
on the parameters. The trajectories are shown to eventually have
positive components precisely in the positions given by the K largest
elements in the input list.
Authors:
Jun Oh Jang,
Pyeong Gi Lee,
Volume: 1, Page 3550 Paper number 82
Abstract:
This paper presents an application of a neuro-fuzzy controller for
compensating the effects induced by the friction in a DC motor system.
The neuro-fuzzy controller is a combination of a linear controller
and a neuro-fuzzy network which compensates for nonlinear friction.
The proposed scheme is implemented and tested on an IBM PC-based DC
motor control system. The algorithm, simulations, and experimental
results are described. The results are relevant for precision drive,
such those found in industrial robots.
Authors:
Carlos Pereira,
Antonio Dourado,
Robert Babuska,
Volume: 1, Page 3556 Paper number 1710
Abstract:
This paper addresses the design and gradual building of a rule based
neuro-fuzzy network using piecewise linear multidimensional membership
functions obtained by Delaunay partition of the input space. On-line
growing and pruning techniques are used to obtain a parsimonious structure.
The proposed network is shown to be useful in approximating unknown
nonlinearities of dynamic systems. A control framework is applied,
taking advantage of the piecewise linear property of the model. For
each simplex, the local inverse model can easily be calculated. The
operation of this adaptive control scheme using the on-line constructive
algorithm and the inverse of the local linear model is demonstrated
using a simulation example and a laboratory scale process.
Authors:
Chunkai Zhang,
Huihe Shao,
Volume: 1, Page 3562 Paper number 9116
Abstract:
The paper describes a new evolutionary system for evolving artificial
neural networks (ANN) called PSONN, which is based on the particle
swarm optimisation (PSO) algorithm. The PSO algorithm is used to evolve
both the architecture and weights of ANN's, this means that the network
architecture is adaptively adjusted by the PSO algorithm, then this
algorithm is employed again to evolve the nodes of ANNs with a given
architecture. This process is repeated until the best network is accepted
or the maximum number of generations has been reached. In PSONN, a
new strategy of evolving nodes is used to maintain a close behavioural
link between the parents and their offspring, which improves the efficiency
of evolving ANNs. An ANNs evolved by PSONN has been used in modelling
product quality estimator for a fractionator of the hydrocracking unit
in the oil refining industry. The results show that the ANNs evolved
by PSONN has good accuracy and generalisation ability.
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