Small-Gain Approach to Fuzzy Adaptive Control for Interconnected Systems With Unmodeled Dynamics

Bo Xu, Yuan Xin Li, Choon Ki Ahn

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


This article presents a new stabilizing control scheme for a class of interconnected nonlinear systems subjected to unmodeled dynamics and immeasurable states. Fuzzy logic systems are applied to approximate the unknown functions, and a fuzzy-based state observer is constructed. The interconnection of the overall system is completely compensated via the cyclic-small-gain condition theorem, and the small-gain theorem is introduced to overcome the unmodeled dynamics in each subsystem. Furthermore, assumptions from prior literature are relaxed, and computing burden is reduced through the design of less adaptive laws. This article proves that under the designed control scheme, the closed-loop systems are controlled to be input-to-state practically stable and that all signals are guaranteed to be semiglobally uniformly ultimately bounded. Finally, this article's simulation section illustrates the effectiveness of the proposed approach through an example derived from a practical system model.

Original languageEnglish
Pages (from-to)4702-4716
Number of pages15
JournalIEEE Transactions on Fuzzy Systems
Issue number11
Publication statusPublished - 2022 Nov 1

Bibliographical note

Publisher Copyright:
© 1993-2012 IEEE.


  • Decentralized control
  • fuzzy logic systems (FLSs)
  • nonlinear large-scale systems
  • observer-based control
  • unmodeled dynamics

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Applied Mathematics


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