[25] M. S. Tavazoei, M. Tavakoli-Kakhki, and F. Bizzarri, "Nonlinear Fractional-Order Circuits and Systems: Motivation, A Brief Overview, and Some Future Directions", IEEE Open Journal of Circuits and Systems, Volume 1, 2020, Pages 220-232.

[24] M. Ghorbani and M. Tavakoli-Kakhki, “Robust Stability Analysis of Uncertain Incommensurate Fractional Order Quasi- Polynomials in the Presence of Interval Fractional Orders and Interval Coefficients,”, Transactions of the Institute of Measurement and Control,  Volume 43, 2021, Pages 1117-1125.

[23] H. Ali-Ahmadi, M. Tavakoli-Kakhki, and H. Khaloozadeh, “Option pricing under finite moment log stable process in a regulated market: A generalized fractional path integral formulation and Monte Carlo based simulation,” Communications in Nonlinear Science and Numerical Simulation, Volume 90, 2020, Pages 105345.

[22] M. Ghorbani and M. Tavakoli-Kakhki, “Robust stabilizability of fractional order proportional integral controllers for fractional order plants with uncertain parameters: A new value set based approach,” Journal of Vibration and Control, Volume 26, 2020, Pages 965-975.

[21] R. Azarmi, M. Tavakoli-Kakhki, A. Fatehi and A. Khaki Sedigh, “Robustness Analysis and Design of Fractional Order IλDμ Controllers Using the Small Gain Theorem,” International Journal of Control, Volume 93, 2020, Pages 449-461.

[20] P. Jafari, M. Teshnehlab, M. Tavakoli-Kakhki, "Uncertain Fractional Order Systems Control by Fractional Order Sliding Mode Indirect Adaptive Fuzzy Controller", Journal of Control, Volume 14, 2020, Pages 89-99, (In Persian).

[19] M. Ghorbani, M. Tavakoli-Kakhki and A. Estarami, “Robust FOPID stabilization of Retarded Type Fractional Order Plants with Interval Uncertainties and Interval Time Delay,” Journal of the Franklin Institute, Volume 356, 2019, Pages 9302-9329.

[18] P. Jafari, M. Teshnehlab, M. Tavakoli-Kakhki, “Adaptive Type-2 Fuzzy System for Synchronization and Stabilization of Chaotic Nonlinear Fractional Order Systems,” IET Control Theory and Applications, Volume 12, Issue 2, 2018, Pages 183-193.

[17] P. Jafari, M. Teshnehlab, M. Tavakoli-Kakhki, “Synchronization and Stabilization of Fractional Order Nonlinear Systems with Adaptive Fuzzy Controller and Compensation Signal,” Nonlinear Dynamics, Volume 90, Issue 2, 2017, Pages 1037-1052.

[16]  P. Jafari, M. Teshnehlab, M. Tavakoli-Kakhki, “Design of Direct Adaptive Fuzzy Controller for Nonlinear Fractional Order Systems with Compensation,” Tabriz Journal of electrical Engineering, Volume 47, Issue 3, 2017, Pages 917-929,  (In Persian).

[15] M. Tavakoli-Kakhki, “Implementation of Fractional-order Transfer Functions in the Viewpoint of the Required Fractional-order Capacitors,” International Journal of Systems Science, Volume 48, Issue 1, 2017, Pages 63-73.

[14] R. Azarmi, M. Tavakoli-Kakhki, A. Khaki Sedigh and A. Fatehi, “Analytical Design of Fractional Order PID Controllers Based on the Fractional Set-point Weighted Structure: Case Study in Twin Rotor Helicopter,” Mechatronics, Volume 31, 2015, Pages 222–233.

[13] M. Tavakoli-Kakhki and M. S. Tavazoei, “Proportional Stabilization and Closed-loop Identification of an Unstable Fractional Order Process,” Journal of Process Control, Volume 24, Issue 5, 2014, Pages 542-549.

[12]  M. Tavakoli-Kakhki and M. S. Tavazoei, “Estimation of the Order and Parameters of a Fractional Order Model from a Noisy Step Response Data,” ASME Journal of Dynamic Systems, Measurement and Control, Volume 163, Issue 3, 2014, Pages 031020 (7 Pages)

[11] M. S. Tavazoei and M. Tavakoli-Kakhki, “Compensation by Fractional-order Phase-Lead/lag Compensators,” IET Control Theory and Applications, Volume 8, Number 5, 2014, Pages 319-329.

[10]  M. Tavakoli-Kakhki, M. Haeri and M. S. Tavazoei, “Study on Control Input Energy Efficiency of Fractional Order Control Systems,” IEEE Journal on Emerging and Selected Topics in Circuits and Systems, Volume 3, Issue 3, 2013, Pages 475-482.

[9]   M. S. Tavazoei, and M. Tavakoli-Kakhki, “Minimal Realizations for Some Classes of Fractional Order Transfer Functions,” IEEE Journal on Emerging and Selected Topics in Circuits and Systems, , Volume 3, Issue 3, 2013, Pages 313-321.

[8]   M. Tavakoli-Kakhki and M. S. Tavazoei, “Static Feedback versus Fractionality of the Electrical Elements in the Van der Pol Circuit,” Nonlinear Dynamics, Volume 72, Issue 1-2, 2013, Pages 365-375.

[7]    M. Tavakoli-Kakhki, M. Haeri and M. S. Tavazoei, “Notes on the State Space Realizations of Rational Order Transfer Functions,” IEEE Transactions on Circuits and Systems I, Volume 58, Number 5, 2011, Pages 1099-1108.

[6]    M. Tavakoli-Kakhki and M. Haeri, “Fractional Order Model Reduction Approach Based on Retention of the Dominant Dynamics: Application in IMC Based tuning of FOPI and FOPID Controllers,” ISA Transactions, Volume 50, Number 3, July 2011, Pages 432-442.

[5]   M. Tavakoli-Kakhki and M. Haeri, “Temperature Control of a Cutting Process Using Fractional Order Proportional-Integral-Derivative Controller,” ASME Journal of Dynamic Systems, Measurement and Control, Volume 133, September 2011, 051014(1-10).

[4]   M. Tavakoli-Kakhki and M. Haeri, “The Minimal State Space Realization for a Class of Fractional Order Transfer Functions,” SIAM Journal on Control and Optimization, Volume 48, Number 7, 2010, Pages 4317-4326.

[3]    M. Tavakoli-Kakhki, M. Haeri and M. S. Tavazoei, “Simple Fractional Order Model Structures and Their Applications in Control System Design,” European Journal of Control, Volume 16, Number 6, 2010, Pages 680-694.

[2]   M. Tavakoli-Kakhaki, M. Haeri and M. S. Tavazoei, “Over and Under Convergent Step Responses in Fractional Order Transfer Functions,” Transactions of the Institute of Measurement and Control, Volume 32, Number 4, August 2010, Pages 376-394.

[1]   M. Tavakoli-Kakhki and M. Haeri, “Model Reduction in Commensurate Fractional Order Linear Systems,” Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, Volume 223, 2009, 493-505.

Conference Papers

[14]  H. Farbakhsh, M. Tavakoli-Khaki, H.D. Taghirad, R. Azarmi, and F. Padula " Fractional Order Fast Terminal Sliding Mode Controller Design with Finite-Time Convergence: Application to Quadrotor UAV", Presnted at 2021 IEEE 26th International Conference on Emerging Technologies and Factory Automation (ETFA), Vasteras, Sweden,07-10 September, 2021.

[13]  F. Hashemniya, M. Tavakoli-Khaki and R. Azarmi, "coefficients and Delay Estimation of the General Form of Fractional Order Systems Using Non-Ideal Step Inputs", Virtually presented at 21st IFAC World Congress, Berlin, Germany, July 11-17, 2020.

[12]   R. Azarmi and M. Tavakoli-Kakhki,"Smith Predictor Based Fractional Integral-Fractional
Derivative Controller Tuning for Interval First Order Transfer Functions with Time Delay", Presented at 21st International Carpathian Control Conference, High Tatras, Slovak Republic, October 27-29, 2020.

[11] R Mohammadikia, A Nikoofard and M Tavakoli-Kakhki, "Application of MPC for an Automatic Voltage Regulator and Load Frequency Control of Interconnected Power System", presented at 28th Iranian Conference on Electrical Engineering (ICEE 2020), Tabriz, Iran, May 26-28,  2020.

[10]  R. Azarmi, M. Tavakoli-Kakhki, A. Fatehi and A. Khaki Sedigh, "Frequency Domain Tuning of a Filtered Smith Predictor Based PI- Lambda Controller and Its Application to Pressure Plant",  Presented at 2019 IEEE 7th International Conference on Control, Mechatronics and Automation, TU Delft, Netherlands, November 6-8, 2019.

[9]  R. Azarmi, M. Tavakoli-Kakhki, R. Vilanova, A. Fatehi and A. Khaki Sedigh,, "Robustness Improvement Using the Filtered Smith Predictor Based Fractional Integral-Fractional Derivative Controllers: Application to a Pressure Plant",  Presented at 7th International Conference on Systems and Control, Valencia, Spain, October 24-26, 2018.

[8]  P. Jafari, M. Teshnelab, and M. Tavakoli-Kakhki, "Adaptive Fuzzy System for Synchronization and Stabilization of Fractional-Order Nonlinear Chaotic Systems",  Presented at 5th Iranian Congress on Fuzzy and Intelligent Systems, Qazvin, Iran, March 7-9, 2017.

[7]   R. Azarmi, M. Tavakoli-Kakhki, A. Khaki Sedigh, and A. Fatehi, "Robust Fractional Order PI Controller Tuning Based on Bode's Ideal Transfer Function",  Presented at 6th IFAC Symposium on System Structure and Control, Istanbul, Turkey, June 22-24, 2016.

[6]   R. Azarmi, M. Tavakoli-Kakhki, H. MonirVaghefi, D. Shaghaghi, and A. Fatehi, "Fractional Order Control of pH Neutralization Process Based on Fuzzy Inverse Model",  Presented at 23rd Iranian Conference on Electrical Engineering (ICEE 2015), Sharif University of Technology, Tehran, Iran, May 10-14, 2015.

[5]    R. Azarmi, A. Khaki Sedigh, M. Tavakoli-Kakhki, and A. Fatehi,"Design and Implementation of Smith Predictor Based Fractional Order PID Controller on MIMO Flow-Level Plant", Presented at 23rd Iranian Conference on Electrical Engineering (ICEE 2015), Sharif University of Technology, Tehran, Iran, May 10-14, 2015.

[4]   M. Tavakoli-Kakhki and M. S. Tavazoei, “Parameter and Order Estimation from Noisy Step Response Data,” Presented at IFAC Joint conference: 5th Symposium on System Structure and Control, 11th Workshop on Time-Delay Systems, and 6th Workshop on Fractional Differentiation and Its Applications, Grenoble, France, February 4-6, 2013.

[3]   M. S. Tavasoei and M. Tavakoli-Kakhki, “A Geometric Approach for Representation and Analyze Fractional Order Systems,” Accepted in 5th IFAC Workshop on Fractional Differentiation and Its Applications (FDA'12), Hohai University, Nanjing, China, May 14-17, 2012.

[2]  M. Tavakoli-Kakhki and M. Haeri, “Asymptotic Properties of the Step Responses of Commensurate Fractional Order Systems,” Presented at 4th IFAC Workshop on Fractional Differentiation and Its Applications (FDA'10), University of Extremadura, Badajoz, Spain, October 18-20, 2010.

[1]    M. Tavakoli-Kakhki, M. Haeri and M.S. Tavasoei, “A Four Parameter Farctional Order Model structure and Its Use in Control System Design,” Presented at the Symposium on Fractional Signals and Systems (FSS'09), Lisbon, Portugal, November 4-6, 2009.