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Journals / Turkish Journal of Electrical Engineering and Computer Science / 2014 / Cilt: 22 - Sayı: 5

Sliding mode controller design with fractional order differentiation: applications for unstable time delay systems

Celaleddin YEROĞLU
Gürkan KAVURAN
Pages
1270–1286
Publication Date
2014-05-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Illustrative examples are presented to demonstrate the performance of the proposed design method.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper presents a design method for a sliding mode controller with the contribution of a fractional order differential operator.
📊
Key Findings & Data:This paper proposes that the fractional order differential operator enlarges the output span of the classical sliding mode controller to obtain a better-fitting control signal for enhanced control performance.
💡
Conclusion & Impact:Illustrative examples are presented to demonstrate the performance of the proposed design method.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Sliding mode control · fractional order differentiation · unstable systems

Abstract

This paper presents a design method for a sliding mode controller with the contribution of a fractional order differential operator. The conventional sliding mode controller has been widely studied in different control applications. This paper proposes that the fractional order differential operator enlarges the output span of the classical sliding mode controller to obtain a better-fitting control signal for enhanced control performance. The sliding surface and the equivalent control law are modified with the addition of a fractional differential operator and a conventional one. The proposed sliding mode controller with fractional order differentiation is applied to the unstable time delay systems successfully. Illustrative examples are presented to demonstrate the performance of the proposed design method.

Özet

This paper presents a design method for a sliding mode controller with the contribution of a fractional order differential operator. The conventional sliding mode controller has been widely studied in different control applications. This paper proposes that the fractional order differential operator enlarges the output span of the classical sliding mode controller to obtain a better-fitting control signal for enhanced control performance. The sliding surface and the equivalent control law are modified with the addition of a fractional differential operator and a conventional one. The proposed sliding mode controller with fractional order differentiation is applied to the unstable time delay systems successfully. Illustrative examples are presented to demonstrate the performance of the proposed design method.

🔖

Cite This Article

YEROĞLU, C., KAVURAN, G. (2014). Sliding mode controller design with fractional order differentiation: applications for unstable time delay systems. Turkish Journal of Electrical Engineering and Computer Science, Cilt: 22 - Sayı: 5, 1270–1286. https://ajindex.com/articles/188509

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References (10)

  1. G.W. Leibnitz, Letter from Hanover, Germany, 30 September 1695 to G.A. L’Hospital, in Leibnizens mathematische Schriften, Olms Verlag, Hildesheim, Germany, 1962.
  2. Y. Luo, Y.Q. Chen, H.S. Ahn, Y.G. Pi, “Fractional order periodic adaptive learning compensation for state- dependent periodic disturbance”, IEEE Transactions on Control System Technology, Vol. 20, pp. 1–8, 2012. D. Val´erio, J.S. Da Costa, “Time domain implementation of fractional order controllers”, Control Theory Applica- tions, Vol. 152, pp. 539–552, 2005.
  3. C.A. Monje, B.M. Vinagre, V. Feliu, Y.Q. Chen, “Tuning and auto-tuning of fractional order controllers for industry applications”, Control Engineering Practice, Vol. 16, pp. 798–812, 2008. C. Yero˘glu, N. Tan, “Note on fractional order proportional-integral differential controller design”, IET Control Theory and Applications, Vol. 5, pp. 1978–1989, 2011. C. Yero˘glu, N. Tan, “Classical controller design techniques for fractional order case”, ISA Transactions, Vol. 50, pp. 461–472, 2011.
  4. S.V. Emelyanov, Variable Structure Control Systems, Moscow, USSR, Nauka, 1967.
  5. M. Dal, R. Teodorescu, “Sliding mode controller gain adaptation and chattering reduction techniques for DSP-based PM DC motor drives”, Turkish Journal of Electrical Engineering & Computer Sciences, Vol. 19, pp. 531–549, 2011.
  6. T. Leblebici, B. C¸ allı, M. ¨Unel, A. S¸abanovi¸c, S. Bogosyan, M. G¨oka¸san, “Delay compensation in bilateral control using a sliding mode observer”, Turkish Journal of Electrical Engineering & Computer Sciences, Vol. 19, pp. 851– 859, 2011.
  7. Z. He, J. Wu, G. Sun, C. Gao, “State estimation and sliding mode control of uncertain switched hybrid system”, International Journal of Innovative Computing, Information and Control, Vol. 8, pp. 7143–7156, 2012.
  8. B.M. Vinagre, A.J. Calderon, “On fractional sliding mode control”, 7th Portuguese Conference on Automatic Control, 2006. D. Val´erio, J.S. Da Costa, “Fractional sliding-mode control of the three-tank benchmark”, Fifth Symposium on Fractional Differentiation and its Applications, 2012.
  9. J. Huang, H. Li, Q. Xu, F. Teng, “Robust position control of PMSM using fractional order sliding mode controller”, Fifth Symposium on Fractional Differentiation and its Applications, 2012.
  10. S.A. Batalov, M.P. Lazarevi´c, A. Hace, K. Jezernik, “A chattering-free fractional PDαsliding-mode control of a 3-DOF robot system driven by DC motors”, Fifth Symposium on Fractional Differentiation and its Applications, 20 S. Dadras, H.R. Momeni,