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Observer-Based H∞ Control for T—S Fuzzy Systems With Time Delay: Delay-Dependent Design Method.
- Source :
- IEEE Transactions on Systems, Man & Cybernetics: Part B; Aug2007, Vol. 37 Issue 4, p1030-1038, 9p
- Publication Year :
- 2007
-
Abstract
- This correspondence studies the problem of observer-based H<subscript>∞</subscript> control for time-delay Takagi-Sugeno (T-S) fuzzy systems. It provides a delay-dependent linear matrix inequality (LMI)-based method for the control design. It is known that the key important problem in the literature, even for delay-independent case, lies in the difficulty of decoupling matrix variables in corresponding matrix inequalities. This correspondence suggests a decoupling technique for solving matrix in- equalities with coupled variables, and provides an LMI-based algorithm by adopting the idea of the cone complementarity problem. The derivation relies on the appropriate choice of Lyaponuv-Krasovskii functionals which incorporate the intersections among local systems. Illustrative examples are given to show the effectiveness of the present delay-dependent result. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10834419
- Volume :
- 37
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Systems, Man & Cybernetics: Part B
- Publication Type :
- Academic Journal
- Accession number :
- 25755216
- Full Text :
- https://doi.org/10.1109/TSMCB.2007.891542