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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/4721

Title: On passivity and passification of stochastic fuzzy systems with delays: The discrete-time case
Authors: Liang, J
Wang, Z
Liu, X
Keywords: Discrete-time fuzzy system
Lyapunov functional
Linear matrix inequality (LMI)
Passivity
Stochastic disturbance
Time-varying delay
Publication Date: 2010
Publisher: IEEE
Citation: IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 40(3): 964 - 969, Jun 2010
Abstract: Takagi–Sugeno (T-S) fuzzy models, which are usually represented by a set of linear submodels, can be used to describe or approximate any complex nonlinear systems by fuzzily blending these subsystems, and so, significant research efforts have been devoted to the analysis of such models. This paper is concerned with the passivity and passification problems of the stochastic discrete-time T-S fuzzy systems with delay. We first propose the definition of passivity in the sense of expectation. Then, by utilizing the Lyapunov functional method, the stochastic analysis combined with the matrix inequality techniques, a sufficient condition in terms of linear matrix inequalities is presented, ensuring the passivity performance of the T-S fuzzy models. Finally, based on this criterion, state feedback controller is designed, and several criteria are obtained to make the closed-loop system passive in the sense of expectation. The results acquired in this paper are delay dependent in the sense that they depend on not only the lower bound but also the upper bound of the time-varying delay. Numerical examples are also provided to demonstrate the effectiveness and feasibility of our criteria.
Description: Copyright [2010] IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Brunel University's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
Sponsorship: This work was supported in part by the Royal Society Sino–British Fellowship Trust Award of the U.K., by the National Natural Science Foundation of China under Grant 60804028, by the Specialized Research Fund for the Doctoral Program of Higher Education for New Teachers in China under Grant 200802861044, and by the Teaching and Research Fund for Excellent Young Teachers at Southeast University of China.
URI: http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5313871&tag=1
http://bura.brunel.ac.uk/handle/2438/4721
DOI: http://dx.doi.org/10.1109/TSMCB.2009.2033142
ISSN: 1083-4419
Replaces: http://bura.brunel.ac.uk/handle/2438/4034
Appears in Collections:School of Information Systems, Computing and Mathematics Research Papers
Computer Science

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