Subject Areas : Electrical Engineering

Zohreh Zeighami ¹ , Mohammad Reza Jahed Motlag ² , Ali Moarefianpour ³

1 - Department of Electrical Engineering, Sirjan Branch, Islamic Azad University, Sirjan, Iran
2 - Department of Computer Engineering, Iran University of Science and Technology, Tehran, Iran
3 - Department of Electrical Engineering, Science and Research Branch,Islamic Azad University,Tehran,Iran

Received: 2023-08-12 Accepted : 2023-09-27 Published : 2023-09-01

Keywords:

References:

[1] Y. C.Shin, and C. X u,, Intelligent Systems: Modeling, Optimization, and Control, CRC Press, 2017.
[2] S. Jafarzadeh, Stability Analysis and Control Design of TSK Systems with Applications in Power Systems, PhD Dissertation, University of Nevada, Reno, 2012.
[3] Ogata, Modern Control Engineering, Prentice-Hall,5th, 2010.
[4] Y. Liu, L. Yan and L. Fang, "An adaptive neurocomplex- fuzzy-inferential modeling mechanism for generating higher order TSK models," Neurocomputing, vol. 365, pp. 94-101, 2019.
[5] B. Qin, Y. Nojima, H. Ishibuchi and S. Wang, "Realizing Deep High-Order TSK Fuzzy Classifier by Ensembling Interpretable Zero-Order TSK Fuzzy Subclassifiers," IEEE Transaction on Fuzzy Systems, vol. 19, no. 11, pp. 3441-3455, 2020.
[6] A. Kalhor, B. N. Araabi and C. Lucasi, "A new highorder takagi-sugeno fuzzy model based on deformed
linear models," Amirkabir International Journal of Modeling, Identification, Simulation & Control, vol. 42, pp. 43-54, 2010.
[7] Y.-L. Kuo and I. E. C. Resmi, "Model Predictive Control Based on a Takagi–Sugeno Fuzzy Model,"
International Journal of Fuzzy Systems, vol. 21, pp. 556-570, 2019. [8] R. E. Bellman, Adaptive Control Processes, A Guide Tour. Princeton University Press, Princeton, NJ, 2016.
[9] G. A. Heydari, A. Gharaveisi and M. Vali, "Chaotic time series prediction via artificialneural square fuzzy
inference system," Expert Systems With Applications, vol. 55, pp. 461-468, 2016.
[10] Q. Ren, "High Order Type-2 Takagi-sugeno-kang Fuzzy Logic System,PHD thesis,Ecole Polytechnique
De Montreal," 2007.
[11] E. F. Camacho and C. Bordons Alba, Model Predictive Control, 2 ed., Springer, 2007.
[12] A. Cavallo, "High-order fuzzy sliding manifold control," Fuzzy Sets and Systems, vol. 156, no. 2, pp. 149-266, 2005.

[13] K. Demirli and P. Muthukumaran, "Higher order fuzzy system identification using subtractive clustering,"
Journal of Intelligent and Fuzzy Systems, vol. 9, no. 3- 4, pp. 129-158, 2000.
[14] G. A. Heydari, "Optimal Design of Nonlinear Predictive Controller Based on High-Order Fuzzy Systems( in persian)," Shahid Bahonar University of Kerman, Iran,Kerman, 2015.
[15] L. j. Herrera, H. Pomares, I. Rojas and O. Valenzuela, "TaSe,a Taylor series-based fuzzy system model that combines interpretability and accuracy," Fuzzy Sets and Systems, vol. 153, no. 3, pp. 403-427, 2005.
[16] N. K. Kasabov and Q. Song, "DENFIS:Dynamic evolving neural-fuzzy inference system and its
application for time-series prediction," IEEE Trans. on Fuzzy Systems, vol. 10, p. 144–154, 2002.
[17] C. R. Ramaker and B. L. Cutler, "Dynamic Matrix Control - A computer control Algorithm," in Proceedings of the 1980 Joint Automatic Control Conference, San Francisco: American Automatic Control Council, 1980.
[18] K. Wiktorowicz and T. Krzeszowski, "Training High- Order Takagi-Sugeno Fuzzy Systems Using Batch Least Squares and Particle Swarm Optimization," International Journal of Fuzzy Systems, vol. 22, pp. 22-34, 2019.
[19] Karaboga, Dervis, Kaya and Ebubekir, "Adaptive network based fuzzy inference system (ANFIS)
training approaches: a comprehensive survey," Artificial Intelligence Review,Springer, vol. 52, pp. 2263-2293, 2018.
[20] M. V. Bobyr and S. G. Emelyanov, "A nonlinear method of learning neuro-fuzzy models for dynamic
control systems," Applied Soft Copmputing, vol. 88, 2020.
[21] G. A. Heydari, A. A. Gharaveisi and M. A. Vali, "New formulation for representing higher order tsk fuzzy systems," IEEE Trans. on Fuzzy Systems, vol. 24, pp. 854-864, 2016.
[22] S.-M. Chen, "Forcasting Enrollments Based On High- Order Fuzzy Time Series," Cybernetics and Systems, Taylor & Francis, vol. 33, no. 1, pp. 1-16, 2002.
[23] N. K. Kasabov, "DENFIS: Dynamic Evolving Neural- Fuzzy Inference System and Its Application for Time- Series Prediction," in IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2002.
[24] E. Navid Sadjadi, M. Ebrahimi and Z. Gachloo, "Discussion on Accuracy of Approximation with
Smooth Fuzzy Models," IEEE Canadian Conference on Electrical and Computer Engineering (CCECE), 2020.
[25] G. A. Heydari, A. A. Gharaveisi and M. A. Vali, "Photovoltaic cells modeling via artificial neural square fuzzy inference system," Modares Journal of Electrical Engineering, vol. 4, no. 11, pp. 11-19, 2012.
[26] N.Ebrahimi, Gh.A Heydari and A.A Gharaveisi, "Optimum Design Of Fuzzy Supervisor Controller For Maximum Power Point Tracking in Sollar Cells," in third annual clean energy conference, kerman, 2013.
[27] S. Eslahi Tatafi, G. Heydari and A. Gharaveisi, "Short- Term Electricity Price Forecasting Using Optimal TSK
Fuzzy Systems," Journal of mathematics and computer science, pp. 238-246, 2014.
[28] I. Boulkaibet, K. .Belarbi, S. .Bououden and T. .Marwala, "A new T-S fuzzy model predictive control
for nonlinear processes," Expert Systems With Applications, vol. 88, pp. 132-151, 2017.
[29] I. Boulkaibet, S.Belarbi, S.Bououden, M.Chadli and T.Marwala, "An adaptive fuzzy predictive control of
nonlinear processes based onMulti- kernel least squares support vector regression,," Applied Soft Computing Journal,Elsevier, vol. 73, pp. 572-590, 2018.
[30] N.Vafamand, “Nonlinear system identification based on Takagi-Sugeno fuzzy modeling and unscented
Kalman filter,” ISI Transactions, vol. 74, pp. 134-143, 2018.
[31] S. Dadashi Arani and A. Moarefianpoor, "A sum of Tracking Control Design for Discrete-time Polynomial Systemss: A Sum-of-Squares approach," Modares Journal Of Electrical Engineering, vol. 16, no. 1, pp. 1-7, 2016.
[32] R. Salimi Tari and A. Ali Moarefianpour, "Observer- Based Tracking Control Design for a Class of Fuzzy
Polynomial Systems," Journal of Control, vol. 12, no. 1, pp. 1-11, 2018.
[33] R. Salimi Tari and A. Moarefianpour, "Observer‐based tracking controller design for a class of polynomial fuzzy systems with disturbance," Asian Journal of Control, vol. 23, no. 4, pp. 1982-1991, 2020.
[34] H. K. Lam, "Polynomial fuzzy-model-based control systems: Stability analysis via piecewise-linear membership functions," IEEE Transactions on Fuzzy Systems, vol. 19, no. 3, pp. 588-593, 2011.
[35] N. Behmanesh Fard, P. Kohan Sedgh, A. Khayatian, M.H. Asemani, “Design of a TS fuzzy controller for the simultaneous stabilization of nonlinear systems,” Computational Interlligence in Electrical Engineering, 2021.
[36] k. Tanaka, H. Yoshida, H. Ohtake and h. O-Wang, "A Sum-of-Squares Approach to Modeling and Control of Nonlinear Dynamical Systems With Polynomial Fuzzy Systems," IEEE Transaction on Fuzzy Systems, vol. 17, no. 4, pp. 911 922, 2009.
[37] T. Kazuo and H. O.Wang, "Fuzzy Control Systems Design and Analysis: a Linear Matrix Inequality Approach," John Wiley & Sons, 2004.
[38] S. Prajna, A. Papachristodoulou and W. Fen, "Nonlinear control synthesis by sum of squares optimization: a Lyapunov-based approach," in Control Conference, Melbourne, VIC, Australia, 2004.
[39] Z.Zeighami,M.R.jahed- Motlagh,A.Moarefianpour,G.Heydari, "A new stability criterion for high-order dynamic fuzzy systems," Iranian Journal of Fuzzy Systems, vol. 19, no. 2, pp. 187-203, 2022.
[40] J. R. Castro, O. Castillo, M. A. Sanchez, O. Mendoza, A. Rodríguez-Diaz and P. Melin, "Method for Higher
Order polynomial Sugeno Fuzzy Inference Systems," Information Sciences, vol. 351, pp. 76-89, 2016.
[41] Wang, L.X., A Course In Fuzzy Systems And Control, Prentice-Hall International,Inc, 1977.
[42] G. A. Heydari, A. Gharaveisi and M. Vali, "Chaotic time series prediction via artificial neural square fuzzy inference system," Expert Systems With Applications, vol. 55, pp. 461-468, 2016.
[43] W. Rudin, Principles of Mathematical Analysis, McGraw-Hill Inc, 1976.
[44] K. Koenigsberger, Analysis 2, 5 ed., Springer, 2004.
[45] I. J. P. Crowe-Wright, "Control Theory: The Double Pendulum Inverted on a Cart,Master Thesis of Science
Mathematics," New Mexico, 2018.
[46] A. Bogdanov, "Optimal Control of a Double Inverted Pendulum on a Cart,Technical Report," Department of
Computer Science & Electrical Engineering OHSU,OGI School of Science and Engineering ,reserchgate, Portland, 2004.