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A Lyapunov-Stable Adaptive Method to Approximate Sensorimotor Models for Sensor-Based Control.

David Navarro-Alarcon1, Jiaming Qi1, Jihong Zhu2

  • 1The Hong Kong Polytechnic University, Hong Kong, Hong Kong.

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|October 12, 2020
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Summary
This summary is machine-generated.

This study introduces a novel robot control method using only feedback signals to approximate unknown models. The approach efficiently estimates sensorimotor maps with minimal data and guarantees stability.

Keywords:
adaptive systemsroboticssensor-based controlsensorimotor modelsservomechanismsvisual servoing

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Area of Science:

  • Robotics
  • Control Theory
  • Machine Learning

Background:

  • Accurate robot models are crucial for effective control.
  • Estimating sensorimotor models, especially in uncalibrated systems, presents significant challenges.
  • Traditional methods often require extensive data and lack rigorous stability guarantees.

Purpose of the Study:

  • To develop a novel scheme for approximating unknown robot sensorimotor models using only feedback signals.
  • To address the uncalibrated sensor-based regulation problem.
  • To create an efficient and stable model estimation method.

Main Methods:

  • Formulation of the uncalibrated sensor-based regulation problem.
  • Development of a computational method distributing model estimation among specialized adaptive units.
  • Analytical determination of data requirements for training and constraining the model.
  • Derivation of conditions for Lyapunov stability.

Main Results:

  • A new scheme for approximating unknown sensorimotor models using feedback signals.
  • A computational method that breaks down model estimation into local map specializations.
  • Demonstration of minimal data requirements for training and model constraints.
  • Rigorous derivation of stability conditions.

Conclusions:

  • The proposed method effectively approximates unknown robot sensorimotor models with limited data.
  • The distributed adaptive unit approach offers an efficient solution for uncalibrated systems.
  • The method ensures rigorous stability properties, validated by simulations and experiments.