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Semiglobal stabilization of saturated linear systems via multiple parametric Lyapunov equations

Wang, Qingling; Yu, Changbin (Brad); Gao, Huijun

Description

This paper investigates the problem of semiglobal stabilization with guaranteed flexible pole placement for saturated linear systems. To retain the advantages of the parametric Lyapunov equation, matrix-partitioning idea is used to derive a new pole shift lemma. Starting from system matrix transformations, a recursive algorithm is proposed to shift every eigenvalue of a linear system separately without mode decomposition in each step. A new method introducing various parameters to every...[Show more]

dc.contributor.authorWang, Qingling
dc.contributor.authorYu, Changbin (Brad)
dc.contributor.authorGao, Huijun
dc.date.accessioned2015-12-07T22:49:20Z
dc.identifier.issn1049-8923
dc.identifier.urihttp://hdl.handle.net/1885/26711
dc.description.abstractThis paper investigates the problem of semiglobal stabilization with guaranteed flexible pole placement for saturated linear systems. To retain the advantages of the parametric Lyapunov equation, matrix-partitioning idea is used to derive a new pole shift lemma. Starting from system matrix transformations, a recursive algorithm is proposed to shift every eigenvalue of a linear system separately without mode decomposition in each step. A new method introducing various parameters to every Lyapunov equation in each step is presented. As an application, the semiglobal stabilization with guaranteed flexible pole placement for saturated linear systems can be achieved by this method. Finally, its effectiveness and advantages are demonstrated via a simulation example.
dc.publisherJohn Wiley & Sons Inc
dc.sourceInternational Journal of Robust and Nonlinear Control
dc.titleSemiglobal stabilization of saturated linear systems via multiple parametric Lyapunov equations
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume25
dc.date.issued2015
local.identifier.absfor090602 - Control Systems, Robotics and Automation
local.identifier.ariespublicationu4552802xPUB46
local.type.statusPublished Version
local.contributor.affiliationWang, Qingling, College of Engineering and Computer Science, ANU
local.contributor.affiliationYu, Changbin (Brad), College of Engineering and Computer Science, ANU
local.contributor.affiliationGao, Huijun, Harbin Institute of Technology
local.description.embargo2037-12-31
local.bibliographicCitation.issue1
local.bibliographicCitation.startpage16
local.bibliographicCitation.lastpage31
local.identifier.doi10.1002/rnc.3070
local.identifier.absseo970109 - Expanding Knowledge in Engineering
dc.date.updated2015-12-07T12:07:43Z
local.identifier.scopusID2-s2.0-84916216655
CollectionsANU Research Publications

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