A new LMI-based approach to relaxed quadratic stabilization of TS fuzzy control systems

CH Fang, YS Liu, SW Kau, L Hong… - IEEE Transactions on …, 2006 - ieeexplore.ieee.org
This paper proposes a new quadratic stabilization condition for Takagi-Sugeno (TS) fuzzy
control systems. The condition is represented in the form of linear matrix inequalities (LMIs)
and is shown to be less conservative than some relaxed quadratic stabilization conditions
published recently in the literature. A rigorous theoretic proof is given to show that the
proposed condition can include previous results as special cases. In comparison with
conventional conditions, the proposed condition is not only suitable for designing fuzzy state …

A new LMI-Based approach to relaxed quadratic stabilization of TS fuzzy control systems

YS Liu, CH Fang - … Theme-System Security and Assurance (Cat …, 2003 - ieeexplore.ieee.org
This paper proposes a new quadratic stabilization condition for TS fuzzy control systems.
The condition is represented in the form of linear matrix inequalities (LMIs) and is shown to
be less conservative than some relaxed quadratic stabilization conditions published recently
in the literature. A rigorous theoretic proof is given to show that the proposed condition can
include previous results as special cases. In comparison with conventional conditions, the
proposed condition is not only suitable for designing fuzzy state feedback controllers but …
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