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Improved stability criteria and controller design for linear neutral systems

journal contribution
posted on 06.12.2017, 00:00 by Qing-Long HanQing-Long Han
This paper is concerned with the problems of stability and H∞ control of linear neutral systems. Firstly, some new simple Lyapunov-Krasovskii functionals are constructed by uniformly dividing the discrete delay interval into multiple segments, and choosing proper functionals with different weighted matrices corresponding to different segments in the Lyapunov-Krasovskii functionals. Then using these new simple Lyapunov-Krasovskii functionals, some new delay-dependent stability criteria are derived. These criteria include some existing results as their special cases and are much less conservative than some existing results, which is shown through a numerical example. Secondly, a delay-dependent bounded real lemma (BRL) is established. Employing the obtained BRL, some delay-dependent sufficient conditions for the existence of a delayed state feedback controller, which ensure asymptotic stability and a prescribed H∞ performance level of the corresponding closed-loop system, is formulated in terms of a linear matrix inequality (LMI). A numerical example is also given to illustrate the effectiveness of the design method.

Funding

Category 1 - Australian Competitive Grants (this includes ARC, NHMRC)

History

Volume

45

Issue

8

Start Page

1948

End Page

1952

Number of Pages

5

ISSN

0005-1098

Location

Oxford, United Kingdom

Publisher

Elsevier Ltd

Language

en-aus

Peer Reviewed

Yes

Open Access

No

External Author Affiliations

Centre for Intelligent and Networked Systems (CINS); Institute for Resource Industries and Sustainability (IRIS);

Era Eligible

Yes

Journal

Automatica.