Design of optimal strategies in the problems of discrete system control by the probabilistic criterion

A modification was proposed for the relations of the method of dynamic programming in the problems of optimal stochastic control of the discrete systems by the probabilistic performance criterion. It enabled one to simplify the process of finding the optimal Markov strategy and obtain a suboptimal s...

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Veröffentlicht in:Automation and remote control 2017-06, Vol.78 (6), p.1006-1027
Hauptverfasser: Azanov, V. M., Kan, Yu. S.
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Kan, Yu. S.
description A modification was proposed for the relations of the method of dynamic programming in the problems of optimal stochastic control of the discrete systems by the probabilistic performance criterion. It enabled one to simplify the process of finding the optimal Markov strategy and obtain a suboptimal solution. Its efficiency was verified by the examples of maneuver optimization of the stationary satellite in the neighborhood of a geostationary orbit. An explicit form of the optimal control for the bilinear system with probabilistic terminal criterion was determined using the results obtained.
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subjects CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Computer-Aided Engineering (CAD
Control
Control systems
Criteria
Design engineering
Discrete systems
Dynamic programming
Dynamical systems
Efficiency
Markov processes
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Optimal control
Probabilistic methods
Probability theory
Robotics
Stochastic processes
Stochastic Systems
Systems Theory
title Design of optimal strategies in the problems of discrete system control by the probabilistic criterion
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