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Iterative identification and control design with optimal excitation signals based on υ-gap

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Abstract

An iterative identification and control design method based on υ-gap is given to ensure the stability of closed-loop system and control performance improvement. The whole iterative procedure includes three parts: the optimal excitation signals design, the uncertainty model set identification and the stable controller design. Firstly the worst case υ-gap is used as the criterion of the optimal excitation signals design, and the design is performed via the power spectrum optimization. And then, an uncertainty model set is attained by system identification on the basis of the measure signals. The controller is designed to ensure the stability of closed-loop system and the closed-loop performance improvement. Simulation result shows that the proposed method has good convergence and closed-loop control performance.

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Authors and Affiliations

  1. School of Electrical and Automation Engineering, Tianjin University, Tianjin, 300072, China

    LiQian Dou, Qun Zong, ZhanShan Zhao & YueHui Ji

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  1. LiQian Dou
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  2. Qun Zong
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  3. ZhanShan Zhao
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  4. YueHui Ji
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Correspondence to LiQian Dou.

Additional information

Supported by the National Natural Science Foundation of China (Grant Nos. 60574055, 60874073), the Specialized Research Fund for Doctoral Program of Higher Education of China (Grant No. 20050056037), and the Tianjin Science and Technology Keystone Project (Grant No. 08ZCKFJC27900)

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Dou, L., Zong, Q., Zhao, Z. et al. Iterative identification and control design with optimal excitation signals based on υ-gap. Sci. China Ser. F-Inf. Sci. 52, 1120–1128 (2009). https://doi.org/10.1007/s11432-009-0105-x

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  • DOI: https://doi.org/10.1007/s11432-009-0105-x

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