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Research Papers

An Improved Delay-Dependent Stability Criterion for a Class of Lur’e Systems of Neutral Type

[+] Author and Article Information
K. Ramakrishnan

Department of Electrical Engineering,  Indian Institute of Technology Kharagpur, West Bengal 721302, Indiaramkieeiit@gmail.com

G. Ray

Department of Electrical Engineering,  Indian Institute of Technology Kharagpur, West Bengal 721302, Indiagray@ee.iitkgp.ernet.in

J. Dyn. Sys., Meas., Control 134(1), 011008 (Dec 02, 2011) (6 pages) doi:10.1115/1.4005276 History: Received February 15, 2011; Revised July 20, 2011; Accepted August 02, 2011; Published December 02, 2011; Online December 02, 2011

In this paper, we consider the problem of delay-dependent stability of a class of Lur’e systems of neutral type with time-varying delays and sector-bounded nonlinearity using Lyapunov–Krasovskii (LK) functional approach. By using a candidate LK functional in the stability analysis, a less conservative absolute stability criterion is derived in terms of linear matrix inequalities (LMIs). In addition to the LK functional, conservatism in the proposed stability analysis is further reduced by imposing tighter bounding on the time-derivative of the functional without neglecting any useful terms using minimal number of slack matrix variables. The proposed analysis, subsequently, yields a stability criterion in convex LMI framework, and is solved nonconservatively at boundary conditions using standard LMI solvers. The effectiveness of the proposed criterion is demonstrated through a standard numerical example and Chua’s circuit.

Copyright © 2012 by American Society of Mechanical Engineers
Topics: Stability , Delays , Circuits
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