Decentralized Observer-Based Controller Synthesis for a Large-Scale Polynomial T-S Fuzzy System with Nonlinear Interconnection Terms

Van Phong Vu, Wen June Wang

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

This article proposes a novel approach to synthesize a decentralized observer-based controller for a large-scale nonlinear systems in which the interconnection terms are expressed in the nonlinear forms. The large-scale nonlinear system is modeled under the framework of the large-scale polynomial T-S fuzzy systems which can reduce the modeling error and the number of fuzzy rules. It is noted that the interconnection terms are arbitrary nonlinear functions and unnecessary to satisfy the bound constraints, while these constraints are mandatory in the previous studies. Therefore, the proposed method is more relaxed and applicable in practice. A new observer form based on an unknown input method is proposed to simultaneously estimate the unmeasurable states and interconnection terms, which has not been taken into consideration in any previous articles. The information of the unknown states and interconnection is fed back to the controller for stabilizing the system. With the support of the Lyapunov function, the sum-of-square (SOS) technique, the conditions for designing the observer and controller are derived. Finally, the two numerical examples are provided to prove the success and merit of the proposed method.

Original languageEnglish
Article number8894533
Pages (from-to)3312-3324
Number of pages13
JournalIEEE Transactions on Cybernetics
Volume51
Issue number6
DOIs
StatePublished - Jun 2021

Keywords

  • Large-scale nonlinear system
  • observer-based controller
  • polynomial T-S fuzzy system
  • sum-of-square (SOS)

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