On the decentralized stabilization of interconnected variable structure systems using output feedback
type: Item
instance of: scholarly article
title: On the decentralized stabilization of interconnected variable structure systems using output feedback
zbMATH Open document ID: 0856.93082
DOI: 10.1016/0016-0032(95)00061-5
author: Yanyan Li
published in: Journal of the Franklin Institute
publication date: 1997-02-25T00:00:00Z
review text: This article considers the robust stabilization problem for a class of uncertain interconnected linear control systems under external perturbation. Under certain controllability conditions, the approach of an LQ optimal regulator is used in order to derive a decentralized output-feedback sliding mode (DOFSM) control approach: Using the LQ optimal control approach, sliding surfaces are constructed on which the subsystems are controlled in an optimal way; then eigenvalue conditions on the system matrices are given under which the constructed controller is shown to be stabilizing by driving the system to the sliding surface in finite time. The application of the controller to a sixth-order interconnected system illustrates the stabilization properties.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B12
zbMATH DE Number: 923726
zbMATH Keywords: uncertain interconnected linear systems
zbMATH Keywords: robust stabilization
zbMATH Keywords: LQ optimal regulator
zbMATH Keywords: decentralized output-feedback
zbMATH Keywords: sliding mode
MaRDI profile type: Publication
full work available at URL: 0016-0032(95)00061-5
OpenAlex ID: W2077743115
cites work: The invariance conditions in variable structure systems
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cites work: Extensions of quadratic minimization theory II. Infinite time results
cites work: Sliding modes in control and optimization. Transl. from the Russian
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description: scientific article; zbMATH DE number 923726