Robust Absolute Stability Criteria for Uncertain Lurie System With Interval Time-Varying Delay-Reference-Cited by-同舟云学术

Robust Absolute Stability Criteria for Uncertain Lurie System With Interval Time-Varying Delay

Published:2014-04-28 Issue:4 Volume:136 Page:
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Mukhija Pankaj¹,Narayan Kar Indra²,Bhatt Rajendra K. P.³

Affiliation:

1. Department of Electrical and Electronics Engineering, National Institute of Technology Delhi, Delhi 110040, India e-mail:

2. Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi 110016, India e-mail:

3. Professor Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi 110016, India e-mail:

Abstract

This paper addresses the problem of absolute stability of Lurie system with interval time-varying delay. The delay range is divided into two equal segments and an appropriate Lyapunov–Krasovskii functional (LKF) is defined. A tighter bounding technique for the derivative of LKF is developed. This bounding technique in combination with the Wirtinger inequality is used to develop the absolute stability criterion in terms of linear matrix inequalities (LMIs). The stability analysis is also extended to the Lurie system with norm-bounded parametric uncertainties. The effectiveness of the proposed approach has been illustrated through a numerical example and Chua's oscillator.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/doi/10.1115/1.4026872/6116977/ds_136_04_041020.pdf

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2. Stability and Stabilization of Systems With Time Delay;IEEE Control Syst.,2011

3. Absolute Stability of Lur'e Systems With Time-Varying Delay;IET Control Theory Appl.,2007

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