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Sliding mode control of induction motor with fuzzy logic observer

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Abstract

Due to the rapid and large amplitude changes of the current and voltage on the load, the controller will generate oscillations around the sliding mode surfaces (chattering) damaging the actuators, thus in order to reduce the load. For this phenomenon, the Relay function has been suggested to be used instead of the classical sign function. On the other hand, when the parameter of the nonlinear object changes with time, the problem of keeping the speed constant when the load changes is difficult, so an adaptive observer using fuzzy logic control is designed to estimate motor speed which is necessary to increase the stability of the controller. From MATLAB/Simulink simulation and experimentation by OPAL_RT device (OPAL-RT has delivered eFPGASIM, the industry’s most powerful and intuitive FPGA-based real-time solution) for the three-phase asynchronous induction motor 1-hp, 150-rad/s with a three-phase three-level cascaded inverter, the results show the estimated speed and the good tracking speed according to the value set at a frequency varying from the lowest 10 rad/s to the highest 150 rad/s, and the system remains stable when the stator and rotor resistance changes up to 1.5 times the initial value in the presence of noise. The stability of the suggested algorithm, which requires little memory and produces low output voltages and currents (total harmonic distortion) with high harmonic component. The SMC laws are obtained in the sense of the Lyapunov stability theorem. Therefore, the stability, robustness and tracking control features are guaranteed, and the system is stable even when noise enters in the system.

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The results/data/figures in this manuscript have not been published elsewhere, nor are they under consideration by another publisher. All of the material is owned by the authors, and/or no permissions are required.

Abbreviations

T m, T e :

Electromagnetic, load torque, N m

R s, R r :

Stator, rotor resistance, Ω

L s, L r, L m :

Stator, rotor mutual inductance, H

ωr:

Angular velocity, rad/s

p, J :

Pole pairs, moment of inertia, Kg m2

u sq, u sd :

Stator voltages (d–q axis), V

u rq, u rd :

Rotor voltages (d–q axis), V

i sq, i sd :

Stator currents (d–q axis, A

i rq, i rd :

Rotor currents (d–q axis), A

ϕ sq, ϕ sd :

Stator fluxes (d–q axis), Wb

ϕ rq, ϕ rd :

Rotor fluxes (d–q axis), Wb

References

  1. Wang J, Get SS, Lee TH (2000) Adaptive fuzzy sliding mode control of a class of nonlinear systems. In: Proceeding of the 3rd Asian Control Conference, Shanghai, pp 599–604. PID Sliding mode Consign Am. J. Applied Sci., 4(12): 987–994, 2007

  2. Chen T-T, Li T-H (2000) Integrated fuzzy GA-based simplex sliding-mode control. Int J Fuzzy Syst 2(4):267–277

    MathSciNet  Google Scholar 

  3. Belkhodja S, De Fornel B (1996) Commande adaptative d’une machine asynchrone. J Phys III 6:779–796

    Google Scholar 

  4. Brahmananda Reddy T, Amarnath J, Subba Rayudu D (2006) Direct torque control of induction motor based on hybrid PWM method for reduced ripple: a sliding mode control approach. ACSE J 6(4):23–30

    Google Scholar 

  5. Toufouti R, Meziane S, Benalla H (2006) Direct torque control for induction motor using fuzzy logic. ACSE J 6(2):17–24

    Google Scholar 

  6. Takahashi I, Ohmori Y (1989) Highperformance direct torque control of induction motor. IEEE Trans Ind Appl 25(2):257–264

    Article  Google Scholar 

  7. Blaschke F (1972) The principle of field orientation as applied to the new transvector closed-loop control system for rotating field machine. Siemens Rev 39:217–220

    Google Scholar 

  8. Djemai M, Hernandez J, Barbot JP (1993) Nonlinear control with flux observer for a singularly perturbed induction motor. In: Proceeding of the 32nd conference on decision and control, Texas, pp 3391–3396

  9. Wai RJ (2000) Adaptive sliding-mode control for induction servo motor drive. IEE Proc Elect Power Appl 147(6):533–562

    Article  Google Scholar 

  10. Wai RJ, Lin KM (2005) Robust decoupled control of direct field-oriented induction motor drive. IEEE Trans Ind Electron 52(3):837–854

    Article  Google Scholar 

  11. Utkin VI (1993) Sliding mode control design principle and application to electric drives. IEEE Trans Ind Electron 40(1):23–36

    Article  Google Scholar 

  12. Shiau LG, Lin JL (2001) Stability of slidingmode current control for high performance induction motor position drives. IEE Proc Elect Power Appl 148(1):69–75

    Article  Google Scholar 

  13. Wai RJ, Liu WK (2001) Nonlinear decoupled control for linear induction motor servo-drive using the sliding-mode technique. IEE Proc Contr Theory Applicat 148(3):217–231

    Article  Google Scholar 

  14. Kuchar M, Brandstetter P, Kaduch M (2004) Sensorless induction motor drive with neural network. In: PESC, Aachen Germany, pp 3301–3305

  15. Wu Q, Shao C, (2006) Novel hybrid sliding-mode controller for direct torque control induction motor drives. In: Proceedings of the American control conference minneapolis, Minnesota, USA, pp 2754–2758

  16. Utkin V1, (1978) Sliding mode and their application in variable structure systems. Moscow

  17. Ayala M, Doval-Gandoy J, Rodas J, Gonzalez O, Gregor R (2019) Current control designed with model based predictive control for six-phase motor drives. ISA Trans 98:496–504. https://doi.org/10.1016/j.isatra.2019.08.052

    Article  Google Scholar 

  18. Gonzalez O, Ayala M, Rodas J, Gregor R, Rivas G, Doval-Gandoy J (2018) Variable-speed control of a six-phase induction machine using predictive-fixed switching frequency current control techniques, In: Proc. PEDG, pp 1–6

  19. Ayala M, Rodas J, Gregor R, Doval-Gandoy J, Gonzalez O, Saad M, Rivera M (2017) Comparative study of predictive control strategies at fixed switching frequency for an asymmetrical six-phase induction motor drive, In: Proc. IEMDC, pp 1–8, Miami, FL

  20. Paiva E, Delorme L, Gomez-Redondo M, Cristaldo E, Rodas J, Kali Y, Gregor R, (2020) Sliding mode current control with luenberger observer applied to a three phase induction motor. In: 2020 5th international conference on renewable energies for developing countries.

  21. Bennassar A, Abbou A, Akherraz M, Barara M (2022) Sensorless sliding mode control of induction motor using fuzzy logic Luenberger observer. Int J Fuzzy Syst Adv Appl, Vol 9, 2022

  22. Bartolini G, Ferrara A, Usani E (1998) Chattering avoidance by second-order sliding mode control. IEEE Trans Autom Control 43:241–246

    Article  MathSciNet  MATH  Google Scholar 

  23. Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353. https://doi.org/10.1016/S0019-9958(65)90241-X

    Article  MATH  Google Scholar 

  24. Slotine JJE, Li W (1991) Applied nonlinear control. Prentice Hall Inc, New Jersey

    MATH  Google Scholar 

  25. Nguyen VQ, Tran QT, Duong HN (2020) Stator-flux-oriented control for three-phase induction motors using sliding mode control. J Electr Syst 16:171–184

    Google Scholar 

  26. Nguyen VQ, Mai TL (2022) Sensorless sliding mode control method for a three-phase induction motor. Electr Eng. https://doi.org/10.1007/s00202-022-01578-5

    Article  Google Scholar 

  27. Krause PC, Wasynczuk O, Sudhoff SD (2002) Analysis of electric machinery and drive systems. IEEE. https://doi.org/10.1109/9780470544167

    Book  Google Scholar 

  28. Mohan N, Undeland TM, Robbins WP (1995) Power electronics: converters, applications, and design. John Wiley and Sons Inc, New York

    Google Scholar 

  29. Aghababa MP, Akbari ME (2012) A chattering-free robust adaptive sliding mode controller for synchoronization of two different chaotic systems with unknow encertainties and external disturbances. Appl Math Computat 218:5757–5768

    Article  MATH  Google Scholar 

  30. Polycarpou MM, Ioannou PA (1993) A robust adaptive nonlinear control design. IEEE Am Control Conf. pp 136–1369

  31. Ioannou PA, Sun J (1996) Robust adaptive control. PTR Prentice-Hall, Upper Saddle River, pp 75–76

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Acknowledgements

This work was supported by the Ho Chi Minh City University of Technology and Education and the Industrial University of Ho Chi Minh City, Vietnam. The authors would like to thank the associate editor and the reviewers for their valuable comments.

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Authors and Affiliations

  1. Faculty of Electrical and Electronics Engineering, HCMC University of Technology and Education, HoChiMinh City, Vietnam

    Quan Nguyen-Vinh

  2. Office of Science Management and International Affairs, Industrial University of HoChiMinh City, HoChiMinh City, Vietnam

    Thuan Pham-Tran-Bich

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  1. Quan Nguyen-Vinh
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  2. Thuan Pham-Tran-Bich
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Contributions

In this paper, Dr. NVQ focused on “Recommended Algorithm” research and wrote for this section, and also performed and wrote “Stability Analysis of The Proposed Algorithm”; Dr. PTBT and Dr. N reviewed the stability of the algorithm, then Dr. Pham focused on “Simulation and Experimental Results,” and Dr. PR simulations and analyzed the results and wrote this part. In the abstract and conclusion, both authors wrote and concluded together.

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Correspondence to Thuan Pham-Tran-Bich.

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Nguyen-Vinh, Q., Pham-Tran-Bich, T. Sliding mode control of induction motor with fuzzy logic observer. Electr Eng 105, 2769–2780 (2023). https://doi.org/10.1007/s00202-023-01842-2

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