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State feedback controller design of networked control systems with interval time-varying delay and nonlinearity

Peng, Chen, Tian, Yu-Chu, & Tade, Moses O. (2008) State feedback controller design of networked control systems with interval time-varying delay and nonlinearity. International Journal of Robust and Nonlinear Control, 18(12), pp. 1285-1301.

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Abstract

This paper proposes a method for robust state feedback controller design of networked control systems with interval time-varying delay and nonlinearity. The key steps in the method are to construct an improved interval-delay-dependent Lyapunov functional and to introduce an extended Jessen’s inequality. Neither free weighting nor model transformation is employed in the derivation of system stability criteria. It is shown that the maximum allowable bound on the nonlinearity could be computed through solving a constrained convex optimization problem; and the maximum allowable delay bound and the feedback gain of a memoryless controller could be derived by solving a set of linear matrix inequalities. Numerical examples are given to demonstrate the effectiveness of the proposed method.

Impact and interest:

87 citations in Scopus
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58 citations in Web of Science®

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1,580 since deposited on 08 Aug 2008
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ID Code: 14343
Item Type: Journal Article
Keywords: networked control systems, linear matrix inequalities, nonlinearity, interval time, varying delay
DOI: 10.1002/rnc.1278
ISSN: 1049-8923
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Automation and Control Engineering (091302)
Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > ARTIFICIAL INTELLIGENCE AND IMAGE PROCESSING (080100) > Simulation and Modelling (080110)
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Calculus of Variations Systems Theory and Control Theory (010203)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Past > Schools > School of Information Systems
Copyright Owner: Copyright 2008 John Wiley & Sons
Copyright Statement: The definite version is available on publication at www3.interscience.wiley.com
Deposited On: 08 Aug 2008
Last Modified: 29 Feb 2012 23:47

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