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Higher Order Sliding Mode Control of MIMO Induction Motors: A New Adaptive Approach

Author

Listed:
  • Ali Karami-Mollaee

    (Faculty of Electrical and Computer Engineering, Hakim Sabzevari University, Sabzevar 9617976487, Iran)

  • Oscar Barambones

    (Department of Systems Engineering and Automatic Control, Faculty of Engineering of Vitoria-Gasteiz, University of the Basque Country UPV/EHU, Nieves Cano 12, 01006 Vitoria-Gasteiz, Spain)

Abstract

In this paper the objective is to force the outputs of nonlinear nonaffine multi-input multi-output (MIMO) systems to track those of a linear system with the desired properties. The approach is based on designing higher order sliding mode controller (HOSMC) with the definition of a new proportional-integral (PI) sliding surface. To this end, a linear state feedback with an adaptive switching gain (ASG) is applied to the nonlinear MIMO systems. Therefore, the switching gain can increase or decrease based on the system conditions. Then, the chattering is completely removed using a combination of HOSMC and ASG. Moreover, the proposed procedure is independent from the upper bound of the matched uncertainty, which is in the direction of system inputs. The finite time convergence to the sliding surface is also proved, which provides an invariance property in finite time. Note that invariance is the most important property of SMC. Finally, the general model of MIMO induction motors (IM) is used to address and to verify the proposed controller.

Suggested Citation

  • Ali Karami-Mollaee & Oscar Barambones, 2023. "Higher Order Sliding Mode Control of MIMO Induction Motors: A New Adaptive Approach," Mathematics, MDPI, vol. 11(21), pages 1-16, November.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:21:p:4558-:d:1274694
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    References listed on IDEAS

    as
    1. Jiahao Yang & Xiangguo Li & Juntao Fei, 2023. "Intelligent Global Fast Terminal Sliding Mode Control of Active Power Filter," Mathematics, MDPI, vol. 11(4), pages 1-23, February.
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