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# Asymptotic stability of the equations system describing the manipulator hydralic system operation

 dc.date.accessioned 2019-01-22T20:52:45Z dc.date.available 2019-01-22T20:52:45Z dc.date.issued 2018 dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/149224 dc.description.abstract © 2018, Institute of Advanced Scientific Research, Inc.. All rights reserved. The work determines the asymptotic stability area for the system of equations describing the mathematical model involving the system and the control object for the automated adjustment of the manipulator pump working volume. The pump displacement in the manipulator hydraulic system is variable. This is done to ensure the possibility of changing the power of the pump when the flow rate of the hydraulic motor changes, too. The considered manipulator will be used to feed the blanks in forging and hot stamping technological processes. All transporting degrees of motion of the manipulator are translational due to the peculiarities of technological processes in which it will be used. The equations describing the operation of the overflow valve and the electric motor are obtained. This equation is represented in relative variables. The equations describing the operation of the pump, pipeline, hydraulic motors and control systems derived earlier are also used. The coefficients for relative variables are determined after conversion of the considered system of equations. Using the Hurwitz method, the conditions for the asymptotic stability of this system of equations are derived. In these conditions, there are some parameters. Using the derived conditions and specifying one of the parameters, the stability regions are constructed. dc.subject Area of stability dc.subject Asymptotic stability dc.subject Automated control system dc.subject Hydraulic engine dc.subject Pipeline dc.subject Pump dc.title Asymptotic stability of the equations system describing the manipulator hydralic system operation dc.type Article dc.relation.ispartofseries-issue 7 Special Issue dc.relation.ispartofseries-volume 10 dc.collection Публикации сотрудников КФУ dc.relation.startpage 2041 dc.source.id SCOPUS-2018-10-7-SID85058110049
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## This item appears in the following Collection(s)

• Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.