A discrete method of optimal control based upon the cell state space concept
type: Item
instance of: scholarly article
title: A discrete method of optimal control based upon the cell state space concept
zbMATH Open document ID: 0548.93040
DOI: 10.1007/BF00939159
author: N. E. Zubov
published in: Journal of Optimization Theory and Applications
publication date: 1985-01-01T00:00:00Z
review text: A discrete method of optimal control is proposed. The continuum state space of a system is discretized into a cell state space, and the cost function is discretized in a similar manner. Assuming intervalwise constant controls and using a finite set of admissible control levels (u) and a finite set of admissible time intervals (\(\tau)\), the motion of the system under all possible interval controls (u,\(\tau)\) can then be expressed in terms of a family of cell-to-cell mappings. The proposed method extracts the optimal control results from these mappings by a systematic search, culminating in the construction of a discrete optimal control table. The possibility of expressing the optimal results in the form of a control table seems to give this method a means to make systems real-time controllable.
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 37-XX
Mathematics Subject Classification ID: 49L20
Mathematics Subject Classification ID: 49J30
Mathematics Subject Classification ID: 70G10
zbMATH DE Number: 3875078
zbMATH Keywords: time-optimal control
zbMATH Keywords: real-time control
zbMATH Keywords: cell state space
zbMATH Keywords: cell-to-cell mappings
zbMATH Keywords: discrete optimal control table
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00939159
OpenAlex ID: W2063126234
description: scientific article; zbMATH DE number 3875078