Abstract

Fuzzy control, an intelligent control method, is generally employed to deal with complex nonlinear controlled objects that cannot be expressed by accurate mathematical model. Memristor, whose unique advantages are automatic successive memory and nonvolatility, brought new opportunity for solving the key question of fuzzy control. With the design idea of software harden, this paper first constructed membership function in the fuzzy controller based on the unique feature of crossbar array of the spintronic memristor and elaborated the whole construction process. After that, this paper simulated the construction process with MATLAB simulation software, verifying its reasonability and feasibility. Furthermore, a typical fuzzy control water tank system was chosen to explore and discuss the flexibility of spintronic memristor crossbar array in the real-time control system, and the proposed control strategy and the typical fuzzy control strategy were compared. The results revealed that the proposed control strategy was able to attain the effectiveness of the typical fuzzy control system in the real-time control system. This sets light to future research on the implementation of memristor crossbar array in the real-time control system and also promotes the application of fuzzy controller design idea. The problems needed to be solved when implementing memristor crossbar array in the real-time control system were discussed in the final section.

Highlights

  • In May 2008, the HP researchers announced that they had developed the physical device of the memristor, and they demonstrated its physical structure and verified its existence,[1] which was described in the published paper of professor Chua in 1971.2 this caused the wide attention in both academia and industry

  • This paper proposed a method that its operation is performed in analog, that is, through a simple hardware based on spintronic memristor crossbar structure for implementing fuzzy membership function

  • In the ‘‘Model of spintronic memristor’’ section, we describe the mathematical model of the spintronic memristor and build the corresponding Simulink model. ‘‘The design of fuzzy membership function by spintronic memristor crossbar array’’ section is devoted to the elaboration of the principle of implementing fuzzy membership function based on spintronic memristor crossbar structure. ‘‘The computer simulation results and analysis’’ section presents a design scheme based on spintronic memristor crossbar structure for implementing fuzzy membership function and proves the validity of the proposed scheme through simulation for Simulink model

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Summary

Introduction

In May 2008, the HP researchers announced that they had developed the physical device of the memristor, and they demonstrated its physical structure and verified its existence,[1] which was described in the published paper of professor Chua in 1971.2 this caused the wide attention in both academia and industry. Through the above two examples, we can verify the following conclusions that the fuzzy set membership function with any shape and any number can be implemented by the hardware circuit of crossbar array based on the spintronic memristor.

Results
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