Robust Observer and Observer‐Based Controller for Time‐Delay Singular Systems. Issue 1 (30th January 2013)

• Record Type: Journal Article
• Authors: Hassan, L.; Zemouche, A.; Boutayeb, M.
• Is Part Of: Asian journal of control. Volume 16:Issue 1(2014:Jan.)
• Page Start: 80
• Page End: 94
• Publication Date: 2013-01-30
• Subjects: Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.669
• Languages: English
• ISSNs: 1561-8625

Abstract

<abstract abstract-type="main"> <title>Abstract</title> <p>In this paper we address the problems of observer and observer‐based controller design for a class of nonlinear time‐delay singular systems. The proposed methods use particular Lyapunov functions depending on the disturbances in order to avoid a specific obstacle in the stability analysis. Consequently, two linear matrix inequality (LMI) conditions ensuring the <alternatives><inline-graphic mimetype="image" xlink:href="ark:/27927/pgg41335nvc" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math altimg="urn:x-wiley:15618625:media:asjc669:asjc669-math-5001" display="inline" overflow="scroll" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>ℋ</mml:mi><mml:mo>∞</mml:mo></mml:msub></mml:mrow></mml:math></alternatives> convergence of the estimation error and the closed loop system were presented. These LMIs were obtained by manipulating Young's inequality in order to linearize some bilinear terms.</p> </abstract>