H_∞-control for T-S fuzzy systems based on the LMI
Liu Xiao · Kongzhi yu juece · 2002
H ∞ control based on the state feedback for T S fuzzy systems is studied. A new sufficient condition which guarantees the existence of the state feedback stabilization for the T S fuzzy systems is proposed. Then a new sufficient condition in the form of a negative definite matrix which guarantees the existence of the state feedback H ∞ control for the T S fuzzy systems is proposed. The conditions not only are simple but also consider the interactions among the subsystems. Finally based on the LMIs, the controller designing methods for the stabilization and the H ∞ controller for the T S fuzzy systems are given.