JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2013, Vol. 43 ›› Issue (3): 30-37.

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Controller design of stochastic fuzzy systems based on the semi-tensor product method of matrices

GE Ai-dong1, 2, WANG Yu-zhen1*, WEI Ai-rong1   

  1. 1. School of Control Science and Engineering, Shandong University,  Jinan 250061, China;
    2.  School of Electrical Engineering and Automation, Shandong Polytechnic University, Jinan 250353, China
  • Received:2013-02-04 Online:2013-06-20 Published:2013-02-04

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Abstract:

The stochastic fuzzy logic and controller design of stochastic fuzzy systems were investigated based on the theory of semi-tensor product of matrices, and some new results about stochastic fuzzy logic and stochastic fuzzy systems were obtained. First, some concepts and properties on stochastic fuzzy logic were given. Then, the design of stochastic fuzzy controller was studied based on the semi-tensor product method, and the new expression of stochastic fuzzy rules was presented. Based on the new expression of fuzzy rules, the complex stochastic fuzzy reasoning was converted into the simple algebraic equation by constructing the structure matrix and the transition probability matrix. Finally, a numerical example was provided to demonstrate our new results.

Key words: semi-tensor product theory, stochastic fuzzy logic, stochastic fuzzy system, stochastic fuzzy set, controller

CLC Number: 

  • TP273
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