Fuzzy Modelling of Tunnel Diode Circuit

Mohd Aqib*, Santosh Kumar Suman**
*-** Assistant Professor, Department of Electrical Engineering, Government Engineering College Kanauji, Uttar Pradesh, India.
Periodicity:June - August'2016
DOI : https://doi.org/10.26634/jcir.4.3.8218

Abstract

This paper presents the T-S fuzzy model of the tunnel diode circuit which is one of the well-known benchmark in non-linear problem. The non-linear differential equation of tunnel diode is linearized with the help of T-S fuzzy model which consists of a number of linear sub-systems. At the end, it was observed that the over-all fuzzy system is unstable, so the fuzzy controller using Parallel Distributed Compensation (PDC) approach is employed for its stable working.

Keywords

T-S Fuzzy Model (Takagi Sugeno Fuzzy Model), Tunnel Diode, Parallel Distributed Compensation (PDC).

How to Cite this Article?

Aqib, M., and Suman, S.K. (2016). Fuzzy Modelling of Tunnel Diode Circuit. i-manager’s Journal on Circuits and Systems, 4(3), 1-5. https://doi.org/10.26634/jcir.4.3.8218

References

[1]. Esaki, (1958). “New Phenomenon in Narrow Germanium p-n Junctions”. Phys. Rev., Vol. 2, pp. 603-604.
[2]. L. Wang, J.M.L. Figueiredo, Charles N. Ironside, and E. Wasige, (2011). “DC Characterization of Tunnel Diode under Stable Non-oscillatory Circuit Conditions”. IEEE Trans. Electron Devices, Vol. 58, pp. 343–347.
[3]. J.T. Wallmark, L. Varettoni, and H. Ur. (1963). “The Tunnel Resistor”. IEEE Trans. Electron Devices, Vol. 10, pp. 359–363.
[4]. J.M. Carrol. (1963). Tunnel-Diode and Semiconductor Circuits. NewYork: McGraw-Hill.
[5]. S.Y. Liao. (2003). Microwave Devices and Circuits. 3 ed. Englewood Cliffs, N.J: Prentice Hall.
[6]. K. Self. (1990). “Designing with Fuzzy Logic”. IEEE Spectrum Mag. Vol. 27, pp. 42-44.
[7]. K.M. Passino and S. Yurkovich. (1998). Fuzzy Control. Addison Wesley Longman.
[8]. Guanrong Chen and Trung Tat Pham, (2001). Introduction to Fuzzy Sets, Fuzzy Logic and Fuzzy Control Systems. CRC Press, Boca Raton, London, New York, Washington, D.C.
[9]. T. Takagi and M. Sugeno. “Fuzzy Identification of Systems and its Applications to Modeling and Control”. IEEE Trans. Sys., Man, Cybern, Vol. 15, pp. 116-132.
[10]. X.J. Zeng and M.G. Singh. “Approximation Theory of Fuzzy Systems-SISO Case”. IEEE Trans. Fuzzy Syst. Vol. 2, pp. 162–176.
[11]. X.J. Zeng and M.G. Singh, (1996). “Approximation Accuracy Analysis of Fuzzy Systems as Function Approximators”. IEEE Trans. Fuzzy Syst. Vol. 4, pp. 44–63.
[12]. G. Feng, (2006). “A Survey on Analysis and Design of Model based Fuzzy Control Systems”. IEEE Trans. Fuzzy Syst. Vol. 14, pp. 676-697.
[13]. J.X. Dong, Y.Y. Wang, and G.H. Yang, (2009). “Control Synthesis of Continuous-Time T-S Fuzzy Systems with Local Nonlinear Models”. IEEE Trans. Sys., Man and Cybern. Part BCybernetics, Vol. 39, pp. 1245-1258.
[14]. H. Ohtake, K. Tanaka, H.O. Wang, (2001). “Fuzzy th Modeling via Sector Nonlinearity Concept”. In: Joint 9 IFSA th World Congress and 20 NAFIPS International Conference, 25-28 IEEE. pp. 127-132.
[15]. Q. Gao, G. Feng, X.J. Zeng, and Y. Wang, (2011). “T–S Fuzzy Systems Approach to Approximation and Robust Controller Design for General Nonlinear Systems”. In: International Conference on Fuzzy System, Taiwan: IEEE. pp. 1299–1304.
[16]. H.M. Wang and G.H. Yang, (2013). “Controller Design for Affine Fuzzy Systems via Characterization of Dilated Linear Matrix Inequalities”. Fuzzy Sets and Systems, Vol. 217, pp. 96-109.
[17]. Q. Gao, X.J. Zeng, G. Feng, Y. Wang and J. Qiu, (2012). “T–S Fuzzy-Model-Based Approximation and Controller Design for General Nonlinear Systems”. IEEE Trans. Sys., Man and Cybern. Part B-Cybernetics, Vol. 42, pp. 1143-1154.
[18]. H.K. Khalil, (2002). Nonlinear Systems. 3 ed. Upper Saddle River, N.J.: Prentice Hall.
[19]. S. Yilmaz and Y. Oysal, (2014). “Nonlinear System Modeling with Dynamic Adaptive Neuro-Fuzzy Inference System”. In: International Conference INISTA 23-25 IEEE, pp. 205-211.
[20]. F.H. hsiao, C.W. Chen, Y.W. Liang, S.D. Xu and W.L. Chiang, (2005). “T-S Fuzzy Controllers for Nonlinear Interconnected Systems With Multiple Time Delays”. IEEE Trans. Circuit and System, Vol. 52, pp. 1883-1893.
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