IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2012y2012i1n512703.html

Robust Position Control of PMSM Using Fractional‐Order Sliding Mode Controller

Author

Listed:
  • Jiacai Huang
  • Hongsheng Li
  • YangQuan Chen
  • Qinghong Xu

Abstract

A new robust fractional‐order sliding mode controller (FOSMC) is proposed for the position control of a permanent magnet synchronous motor (PMSM). The sliding mode controller (SMC), which is insensitive to uncertainties and load disturbances, is studied widely in the application of PMSM drive. In the existing SMC method, the sliding surface is usually designed based on the integer‐order integration or differentiation of the state variables, while in this proposed robust FOSMC algorithm, the sliding surface is designed based on the fractional‐order calculus of the state variables. In fact, the conventional SMC method can be seen as a special case of the proposed FOSMC method. The performance and robustness of the proposed method are analyzed and tested for nonlinear load torque disturbances, and simulation results show that the proposed algorithm is more robust and effective than the conventional SMC method.

Suggested Citation

  • Jiacai Huang & Hongsheng Li & YangQuan Chen & Qinghong Xu, 2012. "Robust Position Control of PMSM Using Fractional‐Order Sliding Mode Controller," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
  • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:512703
    DOI: 10.1155/2012/512703
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2012/512703
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2012/512703?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Fahd Jarad & Thabet Abdeljawad & Dumitru Baleanu, 2012. "On Riesz‐Caputo Formulation for Sequential Fractional Variational Principles," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Dumitru Băleanu & Octavian G. Mustafa & Ravi P. Agarwal, 2010. "Asymptotically Linear Solutions for Some Linear Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    3. Fahd Jarad & Thabet Abdeljawad & Dumitru Baleanu, 2012. "On Riesz-Caputo Formulation for Sequential Fractional Variational Principles," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, March.
    4. D. Baleanu & H. Mohammadi & Sh. Rezapour, 2012. "Positive Solutions of an Initial Value Problem for Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-7, June.
    5. D. Baleanu & H. Mohammadi & Sh. Rezapour, 2012. "Positive Solutions of an Initial Value Problem for Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    6. Dumitru Baleanu & Octavian G. Mustafa & Ravi P. Agarwal, 2010. "Asymptotically Linear Solutions for Some Linear Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-8, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mingyu Fu & Jianfang Jiao & Shen Yin, 2013. "Robust Coordinated Formation for Multiple Surface Vessels Based on Backstepping Sliding Mode Control," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Jianyong Yao & Guichao Yang & Zongxia Jiao & Dawei Ma, 2013. "Adaptive Robust Motion Control of Direct‐Drive DC Motors with Continuous Friction Compensation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Dumitru Baleanu & Sayyedeh Zahra Nazemi & Shahram Rezapour, 2013. "The Existence of Positive Solutions for a New Coupled System of Multiterm Singular Fractional Integrodifferential Boundary Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Dumitru Baleanu & Sayyedeh Zahra Nazemi & Shahram Rezapour, 2014. "A k‐Dimensional System of Fractional Neutral Functional Differential Equations with Bounded Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. D. Baleanu & A. H. Bhrawy & T. M. Taha, 2013. "Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Azizollah Babakhani & Dumitru Baleanu & Ravi P. Agarwal, 2013. "The Existence and Uniqueness of Solutions for a Class of Nonlinear Fractional Differential Equations with Infinite Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. Mohammad Maleki & Ishak Hashim & Majid Tavassoli Kajani & Saeid Abbasbandy, 2012. "An Adaptive Pseudospectral Method for Fractional Order Boundary Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    6. Băleanu, Dumitru & Mustafa, Octavian G. & O’Regan, Donal, 2015. "A Kamenev-type oscillation result for a linear (1+α)-order fractional differential equation," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 374-378.
    7. Al-Smadi, Mohammed & Arqub, Omar Abu & Zeidan, Dia, 2021. "Fuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: Theorems and applications," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    8. Ahmadian, A. & Salahshour, S. & Ali-Akbari, M. & Ismail, F. & Baleanu, D., 2017. "A novel approach to approximate fractional derivative with uncertain conditions," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 68-76.
    9. Panda, Sumati Kumari & Abdeljawad, Thabet & Ravichandran, C., 2020. "A complex valued approach to the solutions of Riemann-Liouville integral, Atangana-Baleanu integral operator and non-linear Telegraph equation via fixed point method," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:512703. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.