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The iterative linear matrix inequality suboptimal design of decentralized ∞ control

  • Mining, Materials And Information Engineering
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Abstract

An approach is proposed to design decentralized state feedback ∞ suboptimal controllers for LTI interconnected large scale systems. The parametrization theorem of decentralized robust state feedback controllers is developed in two steps and the design condition for the feedback gain is in the form of matrix inequalities. An iterative solution algorithm based on linear matrix inequality (LMI) techniques is proposed to obtain the decentralized feedback gain. The given examples are taken to show the application and the convergence of the algorithm.

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Authors and Affiliations

  1. College of Information Engineering, Central South University of Technology, 410083, Changsha, China

    Xie Yongfang, Gui Weihua, Liu Xiaoying & Wu Min

Authors
  1. Xie Yongfang
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  2. Gui Weihua
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  3. Liu Xiaoying
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  4. Wu Min
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Additional information

Project supported by the National Natural Science Foundation of China

Synopsis of the first author Xie Yongfang, Doctoral student, born in 1972, majoring in ∞ control theory and its application, modem robust control, decentralized control.

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Xie, Y., Gui, W., Liu, X. et al. The iterative linear matrix inequality suboptimal design of decentralized ∞ control. J Cent. South Univ. Technol. 6, 130–133 (1999). https://doi.org/10.1007/s11771-999-0015-5

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  • DOI: https://doi.org/10.1007/s11771-999-0015-5

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