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Nonfragile Observer for Discrete-Time Switched Nonlinear Systems with Time Delay

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Abstract

This paper investigates the problem of the nonfragile observer design for discrete-time switched nonlinear systems with time delay. Based on the average dwell-time approach and linear matrix inequality (LMI) techniques, an exponential stability criterion for the discrete-time switched delay system with Lipschitz nonlinearity is derived. Based on several technical lemmas, the discrete-time observer design can be transferred to the problem of solving a set of LMIs. Furthermore, in cases when the gain of the state observer varies, a kind of nonfragile observer is proposed, and the solution to the observer gain is also obtained by solving a set of LMIs. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China

    Zhengrong Xiang

  2. Engineering Institute of Engineering Corps, PLA University of Science and Technology, Nanjing, 210007, People’s Republic of China

    Ronghao Wang

  3. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, People’s Republic of China

    Bin Jiang

Authors
  1. Zhengrong Xiang
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  2. Ronghao Wang
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  3. Bin Jiang
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Corresponding author

Correspondence to Zhengrong Xiang.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 60974027).

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Xiang, Z., Wang, R. & Jiang, B. Nonfragile Observer for Discrete-Time Switched Nonlinear Systems with Time Delay. Circuits Syst Signal Process 30, 73–87 (2011). https://doi.org/10.1007/s00034-010-9210-8

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  • DOI: https://doi.org/10.1007/s00034-010-9210-8

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