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LMI approaches to input and output quantized feedback stabilization of linear systems

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  • Chang, Xiao-Heng
  • Li, Zhi-Min
  • Xiong, Jun
  • Wang, Yi-Ming

Abstract

This paper investigates the problem of quantized feedback stabilization for linear systems. In the controlled systems, the measurement output and control input signals are transmitted via the digital communication link, and the quantization errors are treated as sector bound uncertainties. Two different approaches to designing output feedback are developed and the corresponding design conditions in terms of solutions to linear matrix inequalities (LMIs) are presented. The resulting design is such that the homologous closed-loop system is asymptotically stable with respect to the quantization effects. Finally, we illustrate the efficiency of our main results by a numerical example.

Suggested Citation

  • Chang, Xiao-Heng & Li, Zhi-Min & Xiong, Jun & Wang, Yi-Ming, 2017. "LMI approaches to input and output quantized feedback stabilization of linear systems," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 162-175.
    • Handle: RePEc:eee:apmaco:v:315:y:2017:i:c:p:162-175
    DOI: 10.1016/j.amc.2017.07.038
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    References listed on IDEAS

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    1. Mahmoud, Magdi S. & Almutairi, Naif B., 2016. "Feedback fuzzy control for quantized networked systems with random delays," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 80-97.
    2. Li, Zhi-Min & Chang, Xiao-Heng & Yu, Lu, 2016. "Robust quantized H∞ filtering for discrete-time uncertain systems with packet dropouts," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 361-371.
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    Cited by:

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    9. Li, Yuanen & Zhang, Huasheng & Zhang, Tingting & Geng, Han, 2023. "Interval stability/stabilization and H∞ feedback control for linear impulsive stochastic systems," Applied Mathematics and Computation, Elsevier, vol. 437(C).

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