Interval-Boundary-Dependent Control for Interval Type-2 T–S Fuzzy Systems

  • Bum Yong Park
  • JaeWook Shin


This paper introduces a state-feedback controller for interval type-2 Takagi–Sugeno fuzzy systems that are described as a convex combination of linear subsystems via normalized time-varying fuzzy weighting parameters, which are unknown but belong to intervals. The introduced structure employs lower and upper interval boundaries directly, rather than alternative parameters generated by the interval boundaries in the studies, which does lead to a stabilization condition of parameterized linear matrix inequalities (LMIs), associated only with the parameters and their interval boundaries. The exact relationship among the parameters and their interval boundaries can, therefore, be fully used to convert parameterized LMIs into LMIs, which provides a great feature distinguished from those in the studies. Two illustrative examples demonstrate the effectiveness and robustness of the derived controller.


Interval type-2 fuzzy system Stability analysis Relaxation Fuzzy control 



This paper was supported by Kumoh National Institute of Technology.


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Copyright information

© Brazilian Society for Automatics--SBA 2018

Authors and Affiliations

  1. 1.Department of Electronic EngineeringKumoh National Institute of TechnologyGumiRepublic of Korea
  2. 2.Department of Medical and Mechatronics EngineeringSoonchunhyang UniversityAsanRepublic of Korea

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