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Robust Stabilization of Linear Switching Systems with Both Input and Communication Delays

Author

Listed:
  • Lili Jia
  • Zunbing Sheng

Abstract

This work is concerned with stabilization control of a class of linear switching systems with time‐delays in both the input and the communication channels. It is observed that the time‐delay in communication channel leads to the mismatch between the plant and the controller. Such a phenomenon can be accounted for by reconstructing switching signal for the overall closed‐loop system. Therefore, we derive some sufficient stability conditions by using multiple Lyapunov functions approach and, moreover, present a robust controller design methodology. A numerical example is presented to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Lili Jia & Zunbing Sheng, 2014. "Robust Stabilization of Linear Switching Systems with Both Input and Communication Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:906917
    DOI: 10.1155/2014/906917
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    References listed on IDEAS

    as
    1. Jianming Zhang & Lijun Zhang & Chaudry Masood Khalique, 2014. "Stability and Hopf Bifurcation Analysis on a Bazykin Model with Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Jianming Zhang & Lijun Zhang & Chaudry Masood Khalique, 2014. "Stability and Hopf Bifurcation Analysis on a Bazykin Model with Delay," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, March.
    3. Fatima N. Ahmed & Rokiah Rozita Ahmad & Ummul Khair Salma Din & Mohd Salmi Md Noorani, 2014. "Some Further Results on Oscillations for Neutral Delay Differential Equations with Variable Coefficients," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, May.
    4. Fatima N. Ahmed & Rokiah Rozita Ahmad & Ummul Khair Salma Din & Mohd Salmi Md Noorani, 2014. "Some Further Results on Oscillations for Neutral Delay Differential Equations with Variable Coefficients," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
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