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Filtering for Discrete-Time Switched Fuzzy Systems with Quantization

  • Shanling DongEmail author
  • Zheng-Guang Wu
  • Peng Shi
Chapter
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 268)

Abstract

In this chapter, the \(H_\infty \) and \(L_2\)\(L_\infty \) filtering problems are investigated for discrete-time switched fuzzy systems with quantization. We apply the sector bound approach to deal with quantization errors as sector bound uncertainties. By utilizing the fuzzy-basis-dependent Lyapunov function, sufficient conditions are given such that the filtering error system is stochastically stable with the prescribed \(H_\infty \) or \(L_2\)\(L_\infty \) performance index. Slack matrices are introduced to eliminate the coupling between the Lyapunov matrices and the system matrices. And main results are expressed as LMIs.

References

  1. 1.
    Fu, M., Xie, L.: The sector bound approach to quantized feedback control. IEEE Trans. Autom. Control 50(11), 1698–1711 (2005)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Zhang, C., Feng, G., Gao, H., Qiu, J.: \({H}_\infty \) filtering for nonlinear discrete-time systems subject to quantization and packet dropouts. IEEE Trans. Fuzzy Syst. 19(2), 353–365 (2011)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.National Laboratory of Industrial Control TechnologyInstitute of Cyber-Systems and Control, Zhejiang UniversityHangzhouChina
  2. 2.School of Electrical and Electronic EngineeringUniversity of AdelaideAdelaideAustralia
  3. 3.Victoria UniversityMelbourneAustralia

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