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Stabilization and Controller Design of 2D Discrete Switched Systems with State Delays under Asynchronous Switching

Author

Listed:
  • Shipei Huang
  • Zhengrong Xiang
  • Hamid Reza Karimi

Abstract

This paper is concerned with the problem of robust stabilization for a class of uncertain two‐dimensional (2D) discrete switched systems with state delays under asynchronous switching. The asynchronous switching here means that the switching instants of the controller experience delays with respect to those of the system. The parameter uncertainties are assumed to be norm‐bounded. A state feedback controller is proposed to guarantee the exponential stability. The dwell time approach is utilized for the stability analysis and controller design. A numerical example is given to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Shipei Huang & Zhengrong Xiang & Hamid Reza Karimi, 2013. "Stabilization and Controller Design of 2D Discrete Switched Systems with State Delays under Asynchronous Switching," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:961870
    DOI: 10.1155/2013/961870
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    References listed on IDEAS

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    1. Abdellah Benzaouia & Abdelaziz Hmamed & Fernando Tadeo & Ahmed EL Hajjaji, 2011. "Stabilisation of discrete 2D time switching systems by state feedback control," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(3), pages 479-487.
    2. Shuxia Ye & Weiqun Wang, 2011. "Stability analysis and stabilisation for a class of 2-D nonlinear discrete systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(5), pages 839-851.
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    Cited by:

    1. Sendren Sheng-Dong Xu & Chih-Chiang Chen, 2013. "On Existence of Stabilizing Switching Laws within a Class of Unstable Linear Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Juan-Ignacio Latorre-Biel & Emilio Jiménez-Macías & Mercedes Pérez de la Parte & Julio Blanco-Fernández & Eduardo Martínez-Cámara, 2014. "Control of Discrete Event Systems by Means of Discrete Optimization and Disjunctive Colored PNs: Application to Manufacturing Facilities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Chi-Jo Wang & Juing-Shian Chiou, 2013. "On Delay Independent Stabilization Analysis for a Class of Switched Large‐Scale Time‐Delay Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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