Authors:
M. Norrlöf,
Volume: 1, Page 3415 Paper number 1108
Abstract:
Aspects on the behavior of a general second order iterative learning
control (ILC) algorithm is presented from a frequency domain perspective.
This includes stability as well as performance and robustness issues.
The basis for the analysis is linear iterative systems and these are
briefly described. A design algorithm for second order ILC schemes
is proposed and analyzed both theoretically as well as in an experiment.
In the experiment, done on a commercial industrial robot control system,
the second order ILC design is compared with a first order ILC design.
The result from both the analysis and the experiment is that the second
order design is not better with respect to performance or robustness.
Authors:
Daniela P. de Farias,
Benjamin Van Roy,
Volume: 1, Page 3421 Paper number 9032
Abstract:
The curse of dimensionality in dynamic programming prevents in most
problems of practical interest the exact computation of the value function.
In this paper, we study the fixed points of approximate value iteration,
a simple algorithm that combats the curse of dimensionality by generating
approximate iterates of the classical value iteration algorithm in
the span of a set of prespecified basis functions. We show that, in
general, the modified dynamic programming operator need not possess
a fixed point, and therefore, approximate value iteration should not
be expected to converge. However, by using a class of randomized policies,
approximate value iteration is guaranteed to possess at least one fixed
point. We finally discuss the link between approximate value iteration
and temporal-difference learning (TD), and show that the existence
of fixed points for approximate value iteration implies existence of
stationary points for the ordinary differential equation approximated
by a version of TD that incorporates ``exploration''.
Authors:
Mattias Grundelius,
Volume: 1, Page 3427 Paper number 1668
Abstract:
This paper presents an iterative approach to optimal control when modeling
errors are present. The problem considered is movement of open containers
containing liquid in an industrial packaging machine. The goal is to
move as fast as possible without too much slosh. There is no measurement
of the slosh available in the machine, therefore open loop control
via the acceleration reference is the only possibility to control the
slosh. However it is possible to measure the slosh in an experimental
testbed. This can be used to offline determine the acceleration reference.
An algorithm for iterative optimal control is derived that uses experimental
data to refine the solution of the optimal control problem.
Authors:
Jalal Baghdadchi,
Volume: 1, Page 3433 Paper number 2143
Abstract:
The objective of this study is to synthesize a learning model capable
of successful and effective operation in hard-to-model environments.
Here, we are presenting a structurally simple and functionally flexible
model. The model follows the learning patterns experienced by the
humans. The novelty of the adaptive model lies on the knowledge base,
dual learning strategy, and flexible reasoning. The knowledge base
is allowed to grow for as long as the agent lives. Learning is brought
about by the interaction between two qualitatively different activities
leaving long-term and short-term marks on the behavior of the agent.
The agent reaches conclusions using approximate reasoning. The focus
of the model, the agent, starts life with a blank knowledge base.
It learns as it lives. Classifiers are used to represent individual
experiences. We demonstrate the functioning of the model through a
case study.
Authors:
Abdelhamid Tayebi,
Marek. B. Zaremba,
Volume: 1, Page 3439 Paper number 1672
Abstract:
This paper investigates the combination of an iterative learning control
(ILC) with an internal model control (IMC) for uncertain linear time-invariant
(LTI) systems. The convergence of the iterative process is investigated
and reformulated as a general robust control problem. For a certain
choice of the IMC and ILC filters, we prove that the condition of convergence
to zero of the iterative process is nothing but the robust performance
condition of the IMC structure. Using the general robust control formulation,
we propose a design procedure for the ILC-IMC filters using the mu-synthesis
approach.
Authors:
Sogo Takuya,
Kouji Kinoshita,
Norihiko Adachi,
Volume: 1, Page 3445 Paper number 9113
Abstract:
Most of iterative learning control (ILC) using causal updating law
obtains the input given by Silverman's or Hirshorn's causal inversion.
When the objective system is that of a non-minimum phase, we cannot
use those methods because the input is exponentially increasing. To
overcome this difficulty, an approach called stable inversion was proposed
to give a non-causal but bounded input instead. However, no simple
iterative method to obtain this non-causal input was proposed. In this
paper, from a viewpoint of minimization, we develop a simple iterative
method for the stable inversion toward ILC for non-minimum phase systems.
Authors:
Feng Hsiag Hsiao,
Jiing Dong Hwang,
Lin Goei Shiau,
Volume: 1, Page 3447 Paper number 130
Abstract:
A stability criterion in terms of Lyapunov's direct method is derived
in this paper to guarantee the asymptotic stability of fuzzy large-scale
systems. Based on this criterion and the decentralized control scheme,
a set of fuzzy controllers is synthesized via the technique of parallel
distributed compensation (PDC) to stabilize a fuzzy large-scale system
which consists of a few interconnected subsystems represented by Takagi-
Sugeno (T-S) fuzzy models. Finally, a numerical example with simulations
is given to illustrate the results.
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