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Learning Dynamics and Control of a Stochastic System under Limited Sensing Capabilities.

Mohammad Amin Zadenoori1, Enrico Vicario1

  • 1Department of Information Engineering, University of Florence, 50139 Firenze, Italy.

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|June 24, 2022
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Summary

This study introduces a novel method for learning control strategies in uncertain systems, even with limited data and noisy observations. It enhances decision-making for systems operating under unknown dynamics and control policies.

Keywords:
Input–Output Hidden Markov Model (IO-HMM)Partially Observable Markov Decision Processes (POMDP)failure avoidance strategystochastic generative modelstochastic system modeling

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Area of Science:

  • Control Theory
  • Machine Learning
  • Stochastic Systems

Background:

  • Systems operating under uncertainty require runtime sensing and control strategies for safe behavior.
  • Reconstructing unknown control strategies from system state and actions is challenging due to sensing limitations and noise.

Purpose of the Study:

  • To develop an optimal control action selection method for stochastic systems with unknown dynamics and unknown control strategies.
  • To address challenges posed by limited trajectory data, noisy state observations, and high failure costs preventing online exploration.

Main Methods:

  • Training an Input-Output Hidden Markov Model (IO-HMM) as a generative stochastic model for POMDP state dynamics.
  • Utilizing a novel optimization objective to mitigate issues related to model mis-specification.
  • Applying the methodology to a failure avoidance scenario in a multi-component system.

Main Results:

  • The proposed approach effectively trains an IO-HMM for systems with unknown dynamics and control strategies.
  • The novel optimization objective improves model suitability for control tasks compared to traditional methods.
  • Decision-making quality, evaluated by collected rewards, shows improvement over existing literature approaches.

Conclusions:

  • The developed methodology offers a robust solution for learning and optimizing control strategies in complex, uncertain systems.
  • This approach enhances safety and efficiency in applications like failure avoidance for multi-component systems.
  • It provides a viable alternative to traditional methods that often fail due to model mis-specification.