Model Approximation for Discrete-Time State-Delay Systems in the T–S Fuzzy Framework

@article{Wu2011ModelAF,
  title={Model Approximation for Discrete-Time State-Delay Systems in the T–S Fuzzy Framework},
  author={Ligang Wu and Xiaojie Su and Peng Shi and Jianbin Qiu},
  journal={IEEE Transactions on Fuzzy Systems},
  year={2011},
  volume={19},
  pages={366-378}
}
This paper is concerned with the problem of H∞ model approximation for discrete-time Takagi-Sugeno (T-S) fuzzy time-delay systems. For a given stable T- S fuzzy system, our attention is focused on the construction of a reduced-order model, which not only approximates the original system well in an H∞ performance but is also translated into a linear lower dimensional system. By applying the delay partitioning approach, a delay-dependent sufficient condition is proposed for the asymptotic… Expand
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