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Absolute stabilization of singular systems with ferromagnetic hysteresis nonlinearity

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Abstract

This paper is concerned with the absolute stabilization problem of a class of singular systems with feedback connected ferromagnetic hysteresis nonlinearities. Firstly, a novel differential-integral loop transformation framework is developed to achieve an augmented singular system model. Secondly, by constructing a new passive output derivative operator of hysteresis nonlinearity and establishing the bound condition of the solution of ferromagnetic hysteresis model, the equivalent absolute stability criterion of singular systems with hysteresis feedback is derived based on KYP method and LMIs technique. Furthermore, the strict LMIs conditions for absolute stabilization are obtained, which can easily be checked by the LMI toolbox in MATLAB. Finally, two examples are given to illustrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. School of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    HuaGuang Zhang & YingChun Wang

  2. Stake Key Laboratory of Synthetical Automation of Process Industies (Northeasten University), Shenyang, 110004, China

    HuaGuang Zhang & YingChun Wang

  3. Beijing Institute of Spacecraft System Engineering, Beijing, 100094, China

    Zheng Song

Authors
  1. HuaGuang Zhang
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  2. YingChun Wang
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  3. Zheng Song
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Correspondence to HuaGuang Zhang.

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Zhang, H., Wang, Y. & Song, Z. Absolute stabilization of singular systems with ferromagnetic hysteresis nonlinearity. Sci. China Inf. Sci. 56, 1–14 (2013). https://doi.org/10.1007/s11432-011-4315-7

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  • DOI: https://doi.org/10.1007/s11432-011-4315-7

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