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Stabilization for discrete-time fuzzy systems with Takagi-Sugeno’s models: reduce the complexity

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Abstract

The problem of sate feedback control for discrete-time fuzzy systems with Takagi-Sugeno’s models is investigated to reduce the computational burden. A stabilization condition is obtained by applying a new Lyapunov function. It is shown that our new theorem is equivalent to an existing result in guaranteeing the stability of the fuzzy system but consumes less computational time than the latter. The effectiveness and the superiority of the proposed design approach are demonstrated by an example borrowed from the literature.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, 330063, China

    LiKui Wang

  2. Research Center of Information and Control, Dalian University of Technology, Dalian, 116024, China

    XiaoDong Liu

Authors
  1. LiKui Wang
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  2. XiaoDong Liu
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Correspondence to LiKui Wang.

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Wang, L., Liu, X. Stabilization for discrete-time fuzzy systems with Takagi-Sugeno’s models: reduce the complexity. Sci. China Inf. Sci. 53, 2506–2513 (2010). https://doi.org/10.1007/s11432-010-4116-4

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  • DOI: https://doi.org/10.1007/s11432-010-4116-4

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