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Volume 3 Issue 3
Jul.  2016

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2016  >  3(3): 304-310
Cuihong Wang, Huanhuan Li and YangQuan Chen, "H∞ Output Feedback Control of Linear Time-invariant Fractional-order Systems over Finite Frequency Range," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 3, pp. 304-310, 2016.
Citation: Cuihong Wang, Huanhuan Li and YangQuan Chen, "H∞ Output Feedback Control of Linear Time-invariant Fractional-order Systems over Finite Frequency Range," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 3, pp. 304-310, 2016.
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H∞ Output Feedback Control of Linear Time-invariant Fractional-order Systems over Finite Frequency Range

  • 1. Department of Mathematics and Computer Science, Shanxi Normal University, Linfen 041004, China;

  • 2. School of Engineering, University of California, Merced, CA 95343, USA

    Abstract
  • This paper focuses on the H∞ output feedback control problem of linear time-invariant fractional-order systems over finite frequency range. Based on the generalized Kalman-Yakubovic-Popov (KYP) Lemma and a key projection lemma, a necessary and sufficient condition is established to ensure the existence of the H∞ output feedback controller over finite frequency range, a desirable property in control engineering practice. By using the matrix congruence transformation, the feedback control gain matrix is decoupled and further parameterized by a scalar matrix. Two iterative linear matrix inequality algorithms are developed to solve this problem. Finally, numerical examples are provided to illustrate the effectiveness of the proposed method.

     

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