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|Title: ||On passivity and passification of stochastic fuzzy systems with delays: The discrete-time case|
|Authors: ||Liang, J|
|Keywords: ||Discrete-time fuzzy system|
Linear matrix inequality (LMI)
|Publication Date: ||2010|
|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.|
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|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.|
|Appears in Collections:||School of Information Systems, Computing and Mathematics Research Papers|
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