This paper investigates network-based H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> fuzzy control for a self-balancing two-wheeled inverted pendulum via a T-S fuzzy model. Due to the insertion of a communication network between the pendulum and a fuzzy controller, the fuzzy control is implemented in an asynchronous way. Unlike the existing works, asynchronous constraints on fuzzy membership functions are introduced in deriving some delay-dependent criteria for H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> performance analysis and controller design. A numerical example shows that the proposed method using asynchronous constrains can stabilize the pendulum and achieve a better H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> performance.
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