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A State-space Representation Model and Learning Algorithm for Real-Time Decision-Making Under Uncertainty |
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Proceedings of IMECE07
2007 ASME International Mechanical Engineering Congress and Exposition
November 11-15, 2007, Seattle, Washington, USA
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| Authors: |
Andreas A. Malikopoulos, Panos Y. Papalambros, Dennis N. Assanis
Department of Mechanical Engineering, The University of Michigan
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| Abstract: |
Modeling dynamic systems incurring stochastic
disturbances for deriving a control policy is a ubiquitous task in
engineering. However, in some instances obtaining a model of
a system may be impractical or impossible. Alternative
approaches have been developed using a simulation-based
stochastic framework, in which the system interacts with its
environment in real time and obtains information that can be
processed to produce an optimal control policy. In this context,
the problem of developing a policy for controlling the system’s
behavior is formulated as a sequential decision-making
problem under uncertainty. This paper considers real-time
sequential decision-making under uncertainty modeled as a
Markov Decision Process (MDP). A state-space representation
model is constructed through a learning mechanism and is used
to improve system performance over time. The model allows
decision making based on gradually enhanced knowledge of
system response as it transitions from one state to another, in
conjunction with actions taken at each state. A learning
algorithm is implemented realizing in real time the optimal
control policy associated with the state transitions. The
proposed method is demonstrated on the single cart-pole
balancing problem and a vehicle cruise control problem.
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Paper: P2007_07.PDF
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