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H infinity Control for Nonlinear Systems with Time-Varying Delay Using Matrix-Based Quadratic Convex Approach

sub(H infinity ) control problem for nonlinear system with time-varying delay is considered by using a set of improved Lyapunov-Krasovskii functionals including some integral terms, and a matrix-based on quadratic convex, combined with Wirtinger's inequalities and some useful integral inequalit...

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Bibliographic Details
Published in:Mathematical problems in engineering 2015-01, Vol.2015
Main Authors: Emharuethai, C, Niamsup, P
Format: Article
Language:English
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Online Access:Get full text
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Summary:sub(H infinity ) control problem for nonlinear system with time-varying delay is considered by using a set of improved Lyapunov-Krasovskii functionals including some integral terms, and a matrix-based on quadratic convex, combined with Wirtinger's inequalities and some useful integral inequality. sub(H infinity ) controller is designed via memoryless state feedback control and new sufficient conditions for the existence of the sub(H infinity ) state feedback for the system are given in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the obtained result.
ISSN:1024-123X
1563-5147
DOI:10.1155/2015/473165