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Passivity-based Control for Markovian Jump Systems via Retarded Output Feedback

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Abstract

This paper is concerned with the problem of passivity-based control for Markovian jump systems via retarded output feedback controllers. A delay-dependent passivity criterion is obtained in terms of linear matrix inequalities. Based on this, a sufficient condition is proposed for the design of a retarded output feedback controller which ensures that the closed-loop system is passive. By using the sequential linear programming matrix method, a desired retarded output feedback controller can be constructed. Numerical examples are provided to demonstrate the advantage and effectiveness of the proposed method.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, China

    Hao Shen, Shengyuan Xu & Xiaona Song

  2. School of Information Science and Engineering, Changzhou University, Changzhou, 213164, China

    Guodong Shi

Authors
  1. Hao Shen
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  2. Shengyuan Xu
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  3. Xiaona Song
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  4. Guodong Shi
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Correspondence to Shengyuan Xu.

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Shen, H., Xu, S., Song, X. et al. Passivity-based Control for Markovian Jump Systems via Retarded Output Feedback. Circuits Syst Signal Process 31, 189–202 (2012). https://doi.org/10.1007/s00034-011-9328-3

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  • DOI: https://doi.org/10.1007/s00034-011-9328-3

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