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On exponential stability of linear networked control systems

Title:

On exponential stability of linear networked control systems

Moarref, Miad and Rodrigues, Luis (2012) On exponential stability of linear networked control systems. International Journal of Robust and Nonlinear Control . n/a-n/a. ISSN 10498923

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Official URL: http://dx.doi.org/10.1002/rnc.2936

Abstract

This paper addresses exponential stability of linear networked control systems. More specifically, the paper considers a continuous-time linear plant in feedback with a linear sampled-data controller with an unknown time varying sampling rate, the possibility of data packet dropout, and an uncertain time varying delay. The main contribution of this paper is the derivation of new sufficient stability conditions for linear networked control systems taking into account all of these factors. The stability conditions are based on a modified Lyapunov–Krasovskii functional. The stability results are also applied to the case where limited information on the delay bounds is available. The case of linear sampled-data systems is studied as a corollary of the networked control case. Furthermore, the paper also formulates the problem of finding a lower bound on the maximum network-induced delay that preserves exponential stability as a convex optimization program in terms of linear matrix inequalities. This problem can be solved efficiently from both practical and theoretical points of view. Finally, as a comparison, we show that the stability conditions proposed in this paper compare favorably with the ones available in the open literature for different benchmark problems.

Divisions:Concordia University > Gina Cody School of Engineering and Computer Science > Electrical and Computer Engineering
Item Type:Article
Refereed:Yes
Authors:Moarref, Miad and Rodrigues, Luis
Journal or Publication:International Journal of Robust and Nonlinear Control
Date:2012
Digital Object Identifier (DOI):10.1002/rnc.2936
Keywords:networked control systems; sampled-data systems; Lyapunov–Krasovskii functional; linear systems; linear matrix inequalities
ID Code:976816
Deposited By: DANIELLE DENNIE
Deposited On:28 Jan 2013 20:06
Last Modified:18 Jan 2018 17:43

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