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Integral sliding mode control for fractional-order systems with mismatched uncertainties

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Abstract

This paper presents the integral sliding mode control for fractional-order systems with input disturbance and mismatched uncertainties. For fractional-order systems with the fractional order α satisfying 0<α<1 and 1<α<2, two theorems are proposed to design the stable integral sliding mode surfaces by the LMI conditions and the properties of the Kronecker product, respectively. Moreover, the integral sliding mode control is designed to eliminate the reaching stage for enhancing the robustness of fractional-order systems. Two examples are given to verify the effectiveness of the proposed methods.

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Authors and Affiliations

  1. School of Automation, Beijing Institute of Technology, Beijing, 100081, P.R. China

    Zhe Gao & Xiaozhong Liao

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  1. Zhe Gao
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  2. Xiaozhong Liao
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Correspondence to Xiaozhong Liao.

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Gao, Z., Liao, X. Integral sliding mode control for fractional-order systems with mismatched uncertainties. Nonlinear Dyn 72, 27–35 (2013). https://doi.org/10.1007/s11071-012-0687-5

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  • DOI: https://doi.org/10.1007/s11071-012-0687-5

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