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Closed-loop Neuro-robotic Experiments to Test Computational Properties of Neuronal Networks
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Optimal control of terminal processes using neural networks.

E S Plumer1

  • 1Los Alamos Nat. Lab., NM.

IEEE Transactions on Neural Networks
|January 1, 1996
PubMed
Summary

This study introduces time-optimal backpropagation through time (BPTT), an extension to neural network training methods. It effectively addresses minimum-time control problems by incorporating trajectory time into cost functions for enhanced controller design.

Area of Science:

  • Control Theory
  • Machine Learning
  • Artificial Intelligence

Background:

  • Feedforward neural networks approximate functions and implement nonlinear controllers.
  • Standard backpropagation-through-time (BPTT) training methods are limited in terminal control problems with time-dependent cost functions.

Purpose of the Study:

  • To extend BPTT for handling terminal control problems where trajectory time is part of the cost function.
  • To reformulate controller design as a constrained optimization problem incorporating trajectory time.

Main Methods:

  • Developed an extension to BPTT, termed time-optimal backpropagation through time.
  • Derived necessary first-order stationary conditions including transversality conditions.
  • Reformulated controller design as a constrained optimization problem.

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Main Results:

  • The proposed method addresses limitations of standard BPTT in minimum-time control.
  • New gradient algorithm effectively incorporates trajectory time into the cost function.
  • Demonstrated effectiveness on benchmark minimum-time control problems.

Conclusions:

  • The time-optimal BPTT algorithm enhances neural network-based controller design for minimum-time objectives.
  • This extension provides a viable solution for complex control problems with time constraints.
  • The method shows promise for advanced applications in robotics and autonomous systems.