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Title: | H ∞ sliding mode observer design for a class of nonlinear discrete time-delay systems: A delay-fractioning approach |
Authors: | Hu, J Wang, Z Niu, Y Stergioulas, LK |
Keywords: | Sliding mode observer;Discrete-time systems;Nonlinear systems;Time delay;H ∞ performance |
Issue Date: | 2012 |
Publisher: | John Wiley & Sons |
Citation: | International Journal of Robust and Nonlinear Control, 22(16): 1806 - 1826, Nov 2012 |
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. |
Description: | Copyright @ 2012 John Wiley & Sons |
URI: | http://onlinelibrary.wiley.com/doi/10.1002/rnc.1785/abstract http://bura.brunel.ac.uk/handle/2438/6955 |
DOI: | http://dx.doi.org/10.1002/rnc.1785 |
ISSN: | 1049-8923 |
Appears in Collections: | Publications Computer Science Dept of Computer Science Research Papers |
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