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H sliding mode observer design for a class of nonlinear discrete time-delay systems: A delay-fractioning approach

Hu, J, Wang, Z, Niu, Y and Stergioulas, LK (2012) H sliding mode observer design for a class of nonlinear discrete time-delay systems: A delay-fractioning approach International Journal of Robust and Nonlinear Control, 22 (16). pp. 1806-1826.

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Abstract

In this paper, the H ∞ sliding mode observer (SMO) design problem is investigated for a class of nonlinear discrete time-delay systems. The nonlinear descriptions quantify the maximum possible derivations from a linear model, and the system states are allowed to be immeasurable. Attention is focused on the design of a discrete-time SMO such that the asymptotic stability as well as the H ∞ performance requirement of the error dynamics can be guaranteed in the presence of nonlinearities, time delay and external disturbances. Firstly, a discrete-time discontinuous switched term is proposed to make sure that the reaching condition holds. Then, by constructing a new Lyapunov-Krasovskii functional based on the idea of 'delay fractioning' and by introducing some appropriate free-weighting matrices, a sufficient condition is established to guarantee the desired performance of the error dynamics in the specified sliding mode surface by solving a minimization problem. Finally, an illustrative example is given to show the effectiveness of the designed SMO design scheme. Copyright © 2011 John Wiley & Sons, Ltd. Copyright © 2011 John Wiley & Sons, Ltd.

Item Type: Article
Authors :
NameEmailORCID
Hu, JUNSPECIFIEDUNSPECIFIED
Wang, ZUNSPECIFIEDUNSPECIFIED
Niu, YUNSPECIFIEDUNSPECIFIED
Stergioulas, LKl.stergioulas@surrey.ac.ukUNSPECIFIED
Date : 10 November 2012
Identification Number : 10.1002/rnc.1785
Depositing User : Symplectic Elements
Date Deposited : 16 May 2017 15:30
Last Modified : 17 May 2017 14:35
URI: http://epubs.surrey.ac.uk/id/eprint/820086

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