Speeding Up Interval Type 2 Fuzzy Logic Computation Using Fuzzy Bilinear Interpolation Look-Up Table
Keywords:
Fuzzy Bilinear Interpolation, Interval Type 2 Fuzzy, IT2FLS, Speed Up IT2FLS,Abstract
Interval type 2 fuzzy logic system (IT2FLS) is one of the most straightforward approaches of type 2 fuzzy logic system that is relatively easy to implement. In line with the enhanced capability of the microprocessor, the interval type 2 fuzzy logic system becomes one of the solutions to overcome any problems associated with uncertainty. However, due to computation speed and limited resources, a real-time problem occurs when the IT2FLS is implemented to the low-cost microcontrollers. Based on this problem, it is essential to speed up the computation of IT2FLS. This paper proposes a method named Fuzzy Bilinear Interpolation-Look Up Table algorithm that uses saved information and fuzzy interpolation to obtain the output based on neighboring data to get higher data accuracy. From the simulation results, it was found that Fuzzy Bilinear Interpolation-LUT IT2FLS provides the same performance and computes 14 times faster than IT2FLS.References
Jerry M. Mendel, Robert I. John, and Feilong Liu, "Interval Type-2 Fuzzy Logic Systems Made Simple", IEEE Trans. On Fuzzy Sist, Vol. 14, No. 6, pp. 808-821, December 2006.
Qilian Liang and Jerry M. Mendel, "Interval Type-2 Fuzzy Logic Systems: Theory and Design", IEEE Trans. On Fuzzy Syst, vol 8, No 5, pp. 535-550, October 2000.
N. N. Karnik, J. M. Mendel, “Centroid of a type-2 fuzzy set,” Inform. Sci., vol 132, pp 195-220, 2001.
Iluminada Baturone, Francisco J. Moreno-Velo, Víctor Blanco, and Joaquín Ferruz , "Design of Embedded DSP-based Fuzzy Controllers for Autonomous Mobile Robots", IEEE Trans. On Industrial Electronics, Vol 55, No 2, pp 928-936, February 2008.
Ferenc Farkas, Sándor Halász, "Embedded Fuzzy Controller for Industrial Applications ", Acta Polytechnica Hungarica, Vol. 3, No. 2, pp 41-63, 2006.
Hajer Omrane, Mohamed Slim Masmoudi, and Mohamed Masmoudi, “Fuzzy Logic Based Control for Autonomous Mobile Robot Navigation,” Computational Intelligence and Neuroscience, Vol. 2016, Article ID 9548482, 10 pages, 2016. DOI:10.1155/2016/9548482.
Henry N., Afiq A. Dahlan, Affandi M. Nasib, Azhar A. Aziz, and Sumeru, "Indoor Temperature Control and Energy Saving Potential of Split Unit Air Conditioning System using Fuzzy Logic Controller," IAENG International Journal of Computer Science, Vol. 43, No.4, pp.402-405, 2016.
Abdel-Hamid Attia, Sohair F. Rezeka, Ahmed M. Saleh, "Fuzzy logic control of the air-conditioning system in residential buildings", Alexandria Engineering Journal, Vol. 54, No. 3, pp.395-403 September 2015.
Ahmed M. El-Garhy, Gamal A. El-Sheikh, Mohamed H. El-Saify, "Fuzzy Life-Extending Control of Anti-Lock Braking System", Ain Shams Engineering Journal, Vol. 4, No. 4, pp. 735-751 December 2013.
Zeyad Assi Obaid, Nasri Sulaiman, M. H. Marhaban, M. N. Hamidon, ”Analysis and Performance Evaluation of PD-like Fuzzy Logic Controller Design Based on Matlab and FPGA”, IAENG International Journal of Computer Science, Vol. 37, No. 2, May 2010.
Lorenzo Dambrosio, "Data-based Fuzzy Logic Control Technique Applied to a Wind System", Energy Procedia, Vol 126, pp 690-697, September 2017.
Jinwook Kim, Yoon-Gu Kim, Jinung An, "A Fuzzy Obstacle Avoidance Controller Using a Lookup-Table Sharing Method and Its Applications for Mobile Robots", Int J Adv Robotic Sy, Vol. 8, No. 5, pp. 39-48, 2011.
Farzin Piltan, M.A. Dialame, A. Zare, A. Badri, "Design Novel Lookup Table Changed Auto Tuning FSMC: Applied to Robot Manipulator", International Journal of Engineering (IJE), Vol 6, No 1, pp.25-41, 2012.
Jerry M. Mendel, Robert I. John, “Footprint of uncertainty and its importance to type-2 fuzzy sets,” in Proc. 6th IASTED Int. Conf. Artificial Intelligence and Soft Computing, Banff, Canada, pp. 587– 592, Jul. 2002.
Lazim Abdullah, C.W.R. Adawiyah, C.W. Kamal, "A, “Decision Making Method Based on Interval Type-2 Fuzzy Sets: An Approach For Ambulance Location Preference", Applied Computing and Informatics, Vol 14, No 1, pp. 65-72, January 2018.
Ahmad M. El-Nagar, Mohammad El-Bardini, Nabila M. EL-Rabaie, "Intelligent Control for Nonlinear Inverted Pendulum Based on Interval Type-2 Fuzzy PD Controller", Alexandria Engineering Journal, Vol 53, No 1, pp. 23-32, March 2014.
Dipak Kumar Jana, Oscar Castillo, Sutapa Pramanik, Manoranjan Maiti, "Application of Interval Type-2 Fuzzy Logic to Polypropylene Business Policy in A Petrochemical Plant in India", Journal of the Saudi Society of Agricultural Sciences, Vol 17, No 1, pp 24-42 January 2018.
Amir Gheibi, S.M.A. Mohammadi, M. maghfoori, "Maximum Power Point Tracking of Photovoltaic Generation Based on Type 2 Fuzzy Logic Control Method", Energy Procedia, Vol 12, pp 538-546, 2011.
Ahmad M. El-Nagar, Mohammad El-Bardini, "Practical Implementation for The Interval Type-2 Fuzzy PID Controller Using A Low-Cost Microcontroller", Ain Shams Engineering Journal, Vol 5, No 2, pp 475-487, June 2014.
P.N.Q. Nhon, I. Elamvazuthi, H.M. Fayek, S. Parasuraman, M.K.A. Ahamed Khan, "Intelligent Control of Rehabilitation Robot: Auto Tuning PID Controller with Interval Type 2 Fuzzy for DC Servomotor", Procedia Computer Science, Vol 42, pp 183-190, 2014.
Mahmoodian Hamid, Lotfizadeh Dehkordi Elaheh, "Designing a Fuzzy Type-2 Model-based Robust Controller for Ball and Beam System", Procedia Computer Science, Vol 105, pp 125-130, 2017.
Mohammad El-Bardini, Ahmad M. El-Nagar, "Direct Adaptive Interval Type-2 Fuzzy Logic Controller for The Multivariable Anaesthesia System", Ain Shams Engineering Journal, Vol 2, No 3–4, pp 149-160 September–December 2011.
Ji-Hwan Hwang, Young-Chang Kang, Jong-Wook Park, Dong W. Kim, “Advanced Interval Type-2 Fuzzy Sliding Mode Control for Robot Manipulator,” Computational Intelligence and Neuroscience, Vol. 2017, Article ID 9640849, 11 pages, 2017. DOI:10.1155/2017/9640849.
Mohsen Ebrahimian Baydokhty, Assef Zare, Saeed Balochian, "Performance of Optimal Hierarchical Type 2 Fuzzy Controller for Load–Frequency System with Production Rate Limitation and Governor Dead Band", Alexandria Engineering Journal, Vol 55, No 1, pp 379-397, March 2016.
Khatoon Shahida, Ibraheem, Moinuddin, M Farooq," A Table Lookup Scheme for Fuzzy Logic Based Model Identification Applied to Time Series Prediction", Proceedings of the 6th International Conference on Information Fusion, pp. 1449-1456, 2003.
Long Thanh Ngo, Dzung Dinh Nguyen, Long The Pham, and Cuong Manh Luong, “Speedup of Interval Type 2 Fuzzy Logic Systems Based on GPU for Robot Navigation," Advances in Fuzzy Systems, vol. 2012, Article ID 698062, 11 pages, 2012. DOI:10.1155/2012/698062.
István Kecskés, László Székács, Péter Odry, “Lookup table-based fuzzy controller implementation in low-power microcontrollers of hexapod robot Szabad(ka)-II”, 3rd International Conference & Workshop Mechatronics in Practice and Education – MECHEDU 2015.
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