T-S fuzzy controllers for nonlinear interconnected systems with multiple time delays

Feng Hsiag Hsiao, Cheng Wu Chen, Yew Wen Liang, Sheng Dong Xu, Wei Ling Chiang

Research output: Contribution to journalArticlepeer-review

187 Scopus citations


This paper investigates the effectiveness of a passive tuned mass damper (TMD) and fuzzy controller in reducing the structural responses subject to the external force. In general, TMD is good for linear systems. We proposed here an approach of Takagi-Sugeno (T-S) fuzzy controller to deal with the nonlinear system. To overcome the effect of modeling error between nonlinear multiple time-delay systems and T-S fuzzy models, a robustness design of fuzzy control via model-based approach is proposed in this paper. A stability criterion in terms of Lyapunov's direct method is derived to guarantee the stability of nonlinear multiple time-delay interconnected systems. Based on the decentralized control scheme and this criterion, a set of model-based fuzzy controllers is then synthesized via the technique of parallel distributed compensation (PDC) to stabilize the nonlinear multiple time-delay interconnected system and the H control performance is achieved at the same time. Finally, the proposed methodology is illustrated by an example of a nonlinear TMD systems.

Original languageEnglish
Pages (from-to)1883-1893
Number of pages11
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Issue number9
StatePublished - Sep 2005


  • Fuzzy control
  • Modeling error
  • Multiple time delay
  • Takagi-Sugeno (T-S) fuzzy model


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