Improved stabilization criteria for Takagi–Sugeno fuzzy systems with variable delays

Rupak Datta, Ramasamy Saravanakumar, Rajeeb Dey, Baby Bhattacharya, Choon Ki Ahn

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


In the present research, the stability analysis and stabilization of nonlinear processes characterized by the Takagi–Sugeno (T–S) fuzzy model with variable time delays have been investigated. The state's delay is presumed to belong to a given interval, ensuring that the delay lower limit is not constrained to zero. First, a new and improved integral inequality (II) lemma is proposed to deal with the cross-product terms in the derivative of the constructed delay-product-type (DPT) augmented Lyapunov–Krasovskii functional (LKF). Second, a novel delay-range-dependent (DRD) stability condition and parallel distributed compensation (PDC) technique-based stabilization condition is then achieved in terms of linear matrix inequalities (LMIs). Finally, to illustrate the superiority of the proposed stability criterion and controller design approach over existing ones, three numerical examples are given.

Original languageEnglish
Pages (from-to)591-606
Number of pages16
JournalInformation Sciences
Publication statusPublished - 2021 Nov


  • delay-product-type Lyapunov–Krasovskii functional
  • delay-range-dependent
  • integral inequality
  • parallel distributed compensation
  • Takagi–Sugeno fuzzy model

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications
  • Information Systems and Management
  • Artificial Intelligence


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