A membership function deviation approach to network-based H<inf>∞</inf> fuzzy output feedback control for Takagi-Sugeno fuzzy systems

This paper proposes a new membership function deviation approach to investigate network-based H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> fuzzy static output feedback control for Takagi-Sugeno fuzzy systems, where the bilateral network channels with network-induced delays and data-packet dropouts are considered. A novel lemma about the deviations of membership functions in a network environment is first established, which presents a method of determining such deviations and formulates explicitly the quantitative relationship between the deviation bounds and the maximum allowable equivalent delay bound of such a system. Then by combining the above lemma and a matrix decoupling technique, a shape-dependent design approach of H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> fuzzy controller is proposed in term of linear matrix inequalities. Finally, an example is given to demonstrate the effectiveness of the proposed method.