A locally computed suboptimal control strategy for a class of interconnected systems
type: Item
instance of: scholarly article
title: A locally computed suboptimal control strategy for a class of interconnected systems
zbMATH Open document ID: 0651.93011
DOI: 10.1007/BF00941053
author: L. Acar
author: Ue. Oezguener
published in: Journal of Optimization Theory and Applications
publication date: 1989-01-01T00:00:00Z
review text: A locally computed suboptimal control strategy for a class of interconnected systems is introduced. First, optimal state-feedback control equations are derived for a finite-horizon quadratic cost. Then, the control for each subsystem is separated into two portions. The first portion stabilizes the isolated subsystem, and the second portion corresponds to the interactions. To achieve a locally calculable control, an approximation to the optimal control equations is introduced, and two iterative suboptimal control algorithms are developed. In the first algorithm, the initial conditions of subsystems are assumed to be known; in the second algorithm, this information is replaced by statistical distributions. The orders of errors in the iterations of the algorithm and in the suboptimality are given in terms of interconnection norms. An example with comparisons is also included to show the performance of the approach.
Mathematics Subject Classification ID: 93A15
Mathematics Subject Classification ID: 49M99
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 4062913
zbMATH Keywords: suboptimal control strategy
zbMATH Keywords: interconnected systems
zbMATH Keywords: finite-horizon quadratic cost
zbMATH Keywords: iterative suboptimal control algorithms
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00941053
OpenAlex ID: W2040435017
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description: scientific article; zbMATH DE number 4062913