New LMI-Based Conditions for Quadratic Stabilization of LPV Systems

New LMI-Based Conditions for Quadratic Stabilization of LPV Systems

This paper is concerned with quadratic stabilization problem of linear parameter varying (LPV) systems, where arbitrary time-varying dependent parameters are belonging to a polytope. It provides improved linear matrix inequality- (LMI-) based conditions to compute a gain-scheduling state-feedback ga...

Full description

Bibliographic Details
Main Author: Wei Xie
Format: Article
Language:English
Published: SpringerOpen 2009-02-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/563845
id doaj-a8146c9c23a045b59b1e1aafa4c941a7
record_format Article
spelling doaj-a8146c9c23a045b59b1e1aafa4c941a72020-11-25T00:24:59ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-02-01200810.1155/2008/563845New LMI-Based Conditions for Quadratic Stabilization of LPV SystemsWei XieThis paper is concerned with quadratic stabilization problem of linear parameter varying (LPV) systems, where arbitrary time-varying dependent parameters are belonging to a polytope. It provides improved linear matrix inequality- (LMI-) based conditions to compute a gain-scheduling state-feedback gain that makes closed-loop system quadratically stable. The proposed conditions, based on the philosophy of Pólya's theorem, are written as a sequence of progressively less and less conservative LMI. More importantly, by adding an additional decision variable, at each step, these new conditions provide less conservative or at least the same results than previous methods in the literature. http://dx.doi.org/10.1155/2008/563845
collection DOAJ
language English
format Article
sources DOAJ
author Wei Xie
spellingShingle Wei Xie
New LMI-Based Conditions for Quadratic Stabilization of LPV Systems
Journal of Inequalities and Applications
author_facet Wei Xie
author_sort Wei Xie
title New LMI-Based Conditions for Quadratic Stabilization of LPV Systems
title_short New LMI-Based Conditions for Quadratic Stabilization of LPV Systems
title_full New LMI-Based Conditions for Quadratic Stabilization of LPV Systems
title_fullStr New LMI-Based Conditions for Quadratic Stabilization of LPV Systems
title_full_unstemmed New LMI-Based Conditions for Quadratic Stabilization of LPV Systems
title_sort new lmi-based conditions for quadratic stabilization of lpv systems
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2009-02-01
description This paper is concerned with quadratic stabilization problem of linear parameter varying (LPV) systems, where arbitrary time-varying dependent parameters are belonging to a polytope. It provides improved linear matrix inequality- (LMI-) based conditions to compute a gain-scheduling state-feedback gain that makes closed-loop system quadratically stable. The proposed conditions, based on the philosophy of Pólya's theorem, are written as a sequence of progressively less and less conservative LMI. More importantly, by adding an additional decision variable, at each step, these new conditions provide less conservative or at least the same results than previous methods in the literature.
url http://dx.doi.org/10.1155/2008/563845
work_keys_str_mv AT weixie newlmibasedconditionsforquadraticstabilizationoflpvsystems
_version_ 1725350478799175680

Similar Items