Filtering for Discrete-Time Switched Fuzzy Systems with Quantization

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


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.


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© 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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