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Proceedings of the 2015 Chinese Intelligent Automation Conference pp 127–134Cite as

BMI Optimization Based on Improved Path-Following Method in Control

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 337))

Abstract

This paper deals with the optimization of the bilinear matrix inequality problems by using an improved path-following method. First, the existing path-following method is depicted in detail, including its implementation and limit. Then, based on a new linearization method, an improved path-following method is given. In order to enhance the ability of global optimization, a wide range of perturbation steps is added. Both methods are implemented on static output feedback control problems. Finally, a numerical example is presented to show that the convergence and optimization ability of the improved path-following method are better than the existing one.

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Acknowledgments

This work was supported in part by the National Natural Science Foundation of China (61174033, 61473160) and in part by the Natural Science Foundation of Shandong Province, China (ZR2011FM006).

Author information

Authors and Affiliations

  1. The Institute of Complexity Science, Qingdao University, Qingdao, 266071, China

    Jian Chen & Chong Lin

  2. The College of Science, Qingdao Technological University, Qingdao, 266555, China

    Jian Chen

Authors
  1. Jian Chen
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  2. Chong Lin
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Corresponding author

Correspondence to Chong Lin .

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Editors and Affiliations

  1. Tsinghua University, Beijing, China

    Zhidong Deng

  2. Department of Computer Science and Techn, Tsinghua University, Beijing, China

    Hongbo Li

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© 2015 Springer-Verlag Berlin Heidelberg

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Chen, J., Lin, C. (2015). BMI Optimization Based on Improved Path-Following Method in Control. In: Deng, Z., Li, H. (eds) Proceedings of the 2015 Chinese Intelligent Automation Conference. Lecture Notes in Electrical Engineering, vol 337. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46463-2_15

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  • DOI: https://doi.org/10.1007/978-3-662-46463-2_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-46462-5

  • Online ISBN: 978-3-662-46463-2

  • eBook Packages: EngineeringEngineering (R0)

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