T-S FUZZY MODEL-BASED MEMORY CONTROL FOR DISCRETE-TIME SYSTEM WITH RANDOM INPUT DELAY

Document Type : Research Paper

Authors

1 Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, 210046, P. R. China and the College of Information Sciences, Donghua University, Shanghai, 201620, P. R. China

2 Power Engineering, Nanjing Normal University, Nanjing, Jiangsu, 210042, P. R. China

3 College of Information Science and Technology, Donghua University, Shanghai, 201620, P. R.China

4 Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, P. R. China

Abstract

A memory control for T-S fuzzy discrete-time systems with sto-
chastic input delay is proposed in this paper. Di
erent from the common
assumptions on the time delay in the existing literatures, it is assumed in
this paper that the delays vary randomly and satisfy some probabilistic dis-
tribution. A new state space model of the discrete-time T-S fuzzy system is
derived by introducing some stochastic variables satisfying Bernoulli random
binary distribution and using state augmentation method, some criterion for
the stochastic stability analysis and stabilization controller design are derived
for T-S fuzzy systems with stochastic time-varying input delay. Finally, a nu-
merical example is given to demonstrate the e
ectiveness and the merit of the
proposed method.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 8, Issue 3 - Serial Number 3
September and October 2011
Pages 67-79

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