Robust Stabilization of LPV Systems with Structured Uncertainty using Minimax Controllers

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Show simple item record Li, Li en_US Ugrinovskii, Valery en_US
dc.contributor.editor NA en_US 2012-02-02T11:09:54Z 2012-02-02T11:09:54Z 2007 en_US
dc.identifier 2010006251 en_US
dc.identifier.citation Li Li and Ugrinovskii Valery 2007, 'Robust Stabilization of LPV Systems with Structured Uncertainty using Minimax Controllers', , IEEE, United States, , pp. 2767-2772. en_US
dc.identifier.issn 978-1-4244-1497-0 en_US
dc.identifier.other E1UNSUBMIT en_US
dc.description.abstract This paper addresses a robust control scheduling scheme for uncertain linear parameter-varying systems with structured uncertainty. A gain-scheduled controller is proposed which employs a set of minimax optimal robust controllers and incorporates an interpolation rule to achieve continuity of the controller gain over a range of operating conditions. Novel weighted time-domain integral quadratic constraints are introduced to assist in the derivation of the controller. The key idea of the interpolation for the structured uncertainty case is to transform the parameterized algebraic Riccati inequalities into equivalent linear matrix inequalities. For every fixed value of the system parameter, the proposed controller guarantees robust stability and a certain bound on the worst-case performance of the corresponding uncertain closed loop system. Furthermore, a bound on the rate of parameter variations is obtained under which the closed loop LPV system is robustly stable. To obtain the proposed controller, a set of semi-definite programming problems are introduced; this enables an efficient numerical solution to the problem under consideration. en_US
dc.language en_US
dc.publisher IEEE en_US
dc.relation.hasversion Accepted manuscript version en_US
dc.relation.isbasedon en_US
dc.title Robust Stabilization of LPV Systems with Structured Uncertainty using Minimax Controllers en_US
dc.parent Proceedings of the 46th IEEE Conference on Decision and Control en_US
dc.journal.number en_US
dc.publocation United States en_US
dc.identifier.startpage 2767 en_US
dc.identifier.endpage 2772 en_US FEIT.Faculty of Engineering & Information Technology en_US
dc.conference Verified OK en_US
dc.for 090600 en_US
dc.personcode 111645 en_US
dc.personcode 0000071347 en_US
dc.percentage 100 en_US Electrical and Electronic Engineering en_US
dc.classification.type FOR-08 en_US
dc.edition en_US
dc.custom IEEE Conference on Decision and Control en_US 20071212 en_US
dc.location.activity New Orleans, LA en_US
dc.description.keywords Control systems , Interpolation , Linear matrix inequalities , Minimax techniques , Optimal control , Riccati equations , Robust control , Robust stability , Time domain analysis , Uncertainty en_US

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