Variable structure control of time-delay systems with a simulation study on stabilizing combustion in liquid propellant rocket motors
type: Item
instance of: scholarly article
title: Variable structure control of time-delay systems with a simulation study on stabilizing combustion in liquid propellant rocket motors
zbMATH Open document ID: 0842.93011
DOI: 10.1016/0005-1098(95)00012-L
author: Feng Zheng
author: Mian Cheng
author: Wei-Bing Gao
published in: Automatica
publication date: 1996-08-05T00:00:00Z
review text: The dynamical model of combustion in liquid propellant rocket motors is an unstable time-delay system. It is known that when it is stabilized by a linear state feedback controller, the robustness of the closed loop system is not satisfactory. Here, a variable structure control approach to stabilize the combustion is presented. It is shown that a switching functional, instead of a switching function, should be used for variable structure control systems with delays occurring in state variables and/or control inputs. A design method for the switching functional leading to stable sliding models has been presented for spectrally controllable systems. The variable structure controller have been obtained using a reaching law. The key idea of the approach is to transform retarded systems into non-retarded ones by using characteristic matrices of linear time-delay systems. The theory presented is applied to the stabilization of combustion in a liquid monopropellant rocket motor, and satisfactory results have been obtained by a simulation study.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93C95
zbMATH DE Number: 806688
zbMATH Keywords: liquid propellant rocket motors
zbMATH Keywords: time-delay system
zbMATH Keywords: variable structure control
zbMATH Keywords: delays
reviewed by: Bozhidar Cheshankov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 806688